A Crucial Delivery

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Planet Earth has been at war with the nefarious aliens of Planet XYZ for a while. The front lines are on Planet XYZ, and you, being Earth's lead scientists, need to find a way to get vital information to the front lines.



You have discovered a new type of spaceflight technology that allows you to reach Planet XYZ in $2$ days. This new spaceflight technology runs on Units of fuel. Each Unit a ship has in its fuel tank allows for $6$ hours of travel for that ship.



However, Planet XYZ has a laser shield around it that can only be bypassed by a sufficiently small ship, and the only ship you have that is that small can hold a maximum of $2$ Units of fuel, which is only enough for $1/4$ of the journey.



You also have $2$ fuel tank ships, that can run on Units of fuel at the same rate and travel at the same speed as your small ship, that can each hold $8$ Units. However, they can't bypass the shield. You have one low-quality fuel tank that may only transfer Units to a ship at the same spot as it. The other tank is high-quality and can transfer Units of fuel to another tank or the small ship if that ship is exactly $1/2$ or less of the total distance from Earth to Planet XYZ. Transferring Units removes a chosen whole number of Units from the tank of the transferring ship and adds them to the tank of the receiving ship. You can't bring a ship above its starting number of Units this way.



There is one more major complication; you've made a deal with Planet ABC (which is located $5/8$ of the way to Planet XYZ) to deliver both fuel tanks to them, that have at least $7$ Units combined, in which case, they will help you fight Planet XYZ.



A ship can refill on Earth up to its maximum number of Units. However, Earth only has $8$ Units of fuel remaining, besides the ones used to fill all of the ships at the start.



Refueling takes no time, as does transferring fuel, reversing direction, or landing and taking off from a planet.



Some final, minor rules.



  1. Ships that aren't on a planet must be in motion at all times, or Planet XYZ will blow them up. This includes ships that are out of fuel and aren't immediately refilled.

  2. You must deliver Planet ABC's payment at one time, not gradually. In addition, you can't take Units away from Planet ABC once you've given Units to them.

  3. Ships must be on Earth to refill from Earth's supply of Units.

  4. You only have 2 days before Planet XYZ unleashes their ultimate laser and wins the war. You must act immediately, and the main ship must be constantly moving forward. In addition, your deal with Planet ABC must be completed in this time.

How can you get your small ship to Planet XYZ and your tanks to Planet ABC containing at least $7$ units, both within 2 days?



Edit: Welp, I screwed up the question. I had come up with a solution beforehand without a Unit limit, and not glancing over it enough, I thought it only required a backup of 8 Units on Earth. Looking at it closer, it should be possible to do it with 16. My apologies.










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    up vote
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    Planet Earth has been at war with the nefarious aliens of Planet XYZ for a while. The front lines are on Planet XYZ, and you, being Earth's lead scientists, need to find a way to get vital information to the front lines.



    You have discovered a new type of spaceflight technology that allows you to reach Planet XYZ in $2$ days. This new spaceflight technology runs on Units of fuel. Each Unit a ship has in its fuel tank allows for $6$ hours of travel for that ship.



    However, Planet XYZ has a laser shield around it that can only be bypassed by a sufficiently small ship, and the only ship you have that is that small can hold a maximum of $2$ Units of fuel, which is only enough for $1/4$ of the journey.



    You also have $2$ fuel tank ships, that can run on Units of fuel at the same rate and travel at the same speed as your small ship, that can each hold $8$ Units. However, they can't bypass the shield. You have one low-quality fuel tank that may only transfer Units to a ship at the same spot as it. The other tank is high-quality and can transfer Units of fuel to another tank or the small ship if that ship is exactly $1/2$ or less of the total distance from Earth to Planet XYZ. Transferring Units removes a chosen whole number of Units from the tank of the transferring ship and adds them to the tank of the receiving ship. You can't bring a ship above its starting number of Units this way.



    There is one more major complication; you've made a deal with Planet ABC (which is located $5/8$ of the way to Planet XYZ) to deliver both fuel tanks to them, that have at least $7$ Units combined, in which case, they will help you fight Planet XYZ.



    A ship can refill on Earth up to its maximum number of Units. However, Earth only has $8$ Units of fuel remaining, besides the ones used to fill all of the ships at the start.



    Refueling takes no time, as does transferring fuel, reversing direction, or landing and taking off from a planet.



    Some final, minor rules.



    1. Ships that aren't on a planet must be in motion at all times, or Planet XYZ will blow them up. This includes ships that are out of fuel and aren't immediately refilled.

    2. You must deliver Planet ABC's payment at one time, not gradually. In addition, you can't take Units away from Planet ABC once you've given Units to them.

    3. Ships must be on Earth to refill from Earth's supply of Units.

    4. You only have 2 days before Planet XYZ unleashes their ultimate laser and wins the war. You must act immediately, and the main ship must be constantly moving forward. In addition, your deal with Planet ABC must be completed in this time.

    How can you get your small ship to Planet XYZ and your tanks to Planet ABC containing at least $7$ units, both within 2 days?



    Edit: Welp, I screwed up the question. I had come up with a solution beforehand without a Unit limit, and not glancing over it enough, I thought it only required a backup of 8 Units on Earth. Looking at it closer, it should be possible to do it with 16. My apologies.










    share|improve this question









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    Excited Raichu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      up vote
      5
      down vote

      favorite









      up vote
      5
      down vote

      favorite











      Planet Earth has been at war with the nefarious aliens of Planet XYZ for a while. The front lines are on Planet XYZ, and you, being Earth's lead scientists, need to find a way to get vital information to the front lines.



      You have discovered a new type of spaceflight technology that allows you to reach Planet XYZ in $2$ days. This new spaceflight technology runs on Units of fuel. Each Unit a ship has in its fuel tank allows for $6$ hours of travel for that ship.



      However, Planet XYZ has a laser shield around it that can only be bypassed by a sufficiently small ship, and the only ship you have that is that small can hold a maximum of $2$ Units of fuel, which is only enough for $1/4$ of the journey.



      You also have $2$ fuel tank ships, that can run on Units of fuel at the same rate and travel at the same speed as your small ship, that can each hold $8$ Units. However, they can't bypass the shield. You have one low-quality fuel tank that may only transfer Units to a ship at the same spot as it. The other tank is high-quality and can transfer Units of fuel to another tank or the small ship if that ship is exactly $1/2$ or less of the total distance from Earth to Planet XYZ. Transferring Units removes a chosen whole number of Units from the tank of the transferring ship and adds them to the tank of the receiving ship. You can't bring a ship above its starting number of Units this way.



      There is one more major complication; you've made a deal with Planet ABC (which is located $5/8$ of the way to Planet XYZ) to deliver both fuel tanks to them, that have at least $7$ Units combined, in which case, they will help you fight Planet XYZ.



      A ship can refill on Earth up to its maximum number of Units. However, Earth only has $8$ Units of fuel remaining, besides the ones used to fill all of the ships at the start.



      Refueling takes no time, as does transferring fuel, reversing direction, or landing and taking off from a planet.



      Some final, minor rules.



      1. Ships that aren't on a planet must be in motion at all times, or Planet XYZ will blow them up. This includes ships that are out of fuel and aren't immediately refilled.

      2. You must deliver Planet ABC's payment at one time, not gradually. In addition, you can't take Units away from Planet ABC once you've given Units to them.

      3. Ships must be on Earth to refill from Earth's supply of Units.

      4. You only have 2 days before Planet XYZ unleashes their ultimate laser and wins the war. You must act immediately, and the main ship must be constantly moving forward. In addition, your deal with Planet ABC must be completed in this time.

      How can you get your small ship to Planet XYZ and your tanks to Planet ABC containing at least $7$ units, both within 2 days?



      Edit: Welp, I screwed up the question. I had come up with a solution beforehand without a Unit limit, and not glancing over it enough, I thought it only required a backup of 8 Units on Earth. Looking at it closer, it should be possible to do it with 16. My apologies.










      share|improve this question









      New contributor




      Excited Raichu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      Planet Earth has been at war with the nefarious aliens of Planet XYZ for a while. The front lines are on Planet XYZ, and you, being Earth's lead scientists, need to find a way to get vital information to the front lines.



      You have discovered a new type of spaceflight technology that allows you to reach Planet XYZ in $2$ days. This new spaceflight technology runs on Units of fuel. Each Unit a ship has in its fuel tank allows for $6$ hours of travel for that ship.



      However, Planet XYZ has a laser shield around it that can only be bypassed by a sufficiently small ship, and the only ship you have that is that small can hold a maximum of $2$ Units of fuel, which is only enough for $1/4$ of the journey.



      You also have $2$ fuel tank ships, that can run on Units of fuel at the same rate and travel at the same speed as your small ship, that can each hold $8$ Units. However, they can't bypass the shield. You have one low-quality fuel tank that may only transfer Units to a ship at the same spot as it. The other tank is high-quality and can transfer Units of fuel to another tank or the small ship if that ship is exactly $1/2$ or less of the total distance from Earth to Planet XYZ. Transferring Units removes a chosen whole number of Units from the tank of the transferring ship and adds them to the tank of the receiving ship. You can't bring a ship above its starting number of Units this way.



      There is one more major complication; you've made a deal with Planet ABC (which is located $5/8$ of the way to Planet XYZ) to deliver both fuel tanks to them, that have at least $7$ Units combined, in which case, they will help you fight Planet XYZ.



      A ship can refill on Earth up to its maximum number of Units. However, Earth only has $8$ Units of fuel remaining, besides the ones used to fill all of the ships at the start.



      Refueling takes no time, as does transferring fuel, reversing direction, or landing and taking off from a planet.



      Some final, minor rules.



      1. Ships that aren't on a planet must be in motion at all times, or Planet XYZ will blow them up. This includes ships that are out of fuel and aren't immediately refilled.

      2. You must deliver Planet ABC's payment at one time, not gradually. In addition, you can't take Units away from Planet ABC once you've given Units to them.

      3. Ships must be on Earth to refill from Earth's supply of Units.

      4. You only have 2 days before Planet XYZ unleashes their ultimate laser and wins the war. You must act immediately, and the main ship must be constantly moving forward. In addition, your deal with Planet ABC must be completed in this time.

      How can you get your small ship to Planet XYZ and your tanks to Planet ABC containing at least $7$ units, both within 2 days?



      Edit: Welp, I screwed up the question. I had come up with a solution beforehand without a Unit limit, and not glancing over it enough, I thought it only required a backup of 8 Units on Earth. Looking at it closer, it should be possible to do it with 16. My apologies.







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      edited 2 hours ago





















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      asked 4 hours ago









      Excited Raichu

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      New contributor





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          2 Answers
          2






          active

          oldest

          votes

















          up vote
          2
          down vote













          I believe that this




          Can't be done in the time allotted




          The strategy that comes to mind




          Is to have the Good tanker trail, remaining on Earth for as long as possible to send fuel to the other two ships.




          After 18 hours




          The small ship and bad tanker will both be fully fueled, containing 2 and 8 units respectively, 3/8 of the way to XYZ, the good tanker will also be fully fueled, containing 8 units, and Earth will have 2 units remaining. At this point, the good tanker is forced to leave Earth if it wants to reach ABC within the time limit.




          At this point




          The Small ship needs to travel 5 additional units, the lead tanker needs to travel 2 additional units, and the trailing tanker needs to travel 5 units, for a total of 12. The ships total only 18 units of fuel, leaving a maximum of 6 units of fuel in the tankers once they reach ABC.







          share|improve this answer




















          • The flaw in your reasoning is the good tanker does not have to reach ABC. Instead it can fuel the bad tanker which delivers the fuel.
            – Bennett Bernardoni
            3 hours ago










          • @BennettBernardoni "...deliver both fuel tanks to them, that have at least 7 Units combined"
            – Sconibulus
            3 hours ago










          • I didn't see that part. In that case I agree with your answer. This can only be solved with dropping that requirement or 6 extra hours.
            – Bennett Bernardoni
            3 hours ago


















          up vote
          1
          down vote













          Here is the ship movement log:




          Day 0 Hour 0: All ships fueled on earth. The small ship and low-quality fuel tank head off for planet ABC.

          Day 0 Hour 12: The small ship needs a refuel from the high-quality ship which refuels from earth.

          Day 1 Hour 0: The small ship and the low-quality ship refuel from the high-quality ship which refuels from earth. The high-quality ship leaves earth.

          Day 1 Hour 6: The small ship and low-quality ship reach planet ABC. The small ship continues to XYZ and the low-quality ship delivers its 7 fuel and stays there.

          Day 1 Hour 12: The small ship needs a refuel from the high-quality ship.

          Day 2 Hour 0: The small ship reaches planet XYZ.




          And here is the fuel log:






          +--------+-----+-----+-----+-----+-----+
          |Day:Hour|Small| Low | High|Earth| ABC |
          +--------+-----+-----+-----+-----+-----+
          | 0:00 | 2 | 8 | 8 | 8 | 0 |
          | 0:06 | 1 | 7 | 8 | 8 | 0 |
          | 0:12 | 2 | 6 | 8 | 6 | 0 |
          | 0:18 | 1 | 5 | 8 | 6 | 0 |
          | 1:00 | 2 | 8 | 8 | 0 | 0 |
          | 1:06 | 1 | 0 | 7 | 0 | 7 |
          | 1:12 | 2 | 0 | 4 | 0 | 7 |
          | 1:18 | 1 | 0 | 3 | 0 | 7 |
          | 2:00 | 0 | 0 | 2 | 0 | 7 |
          +--------+-----+-----+-----+-----+-----+






          share|improve this answer




















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            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            2
            down vote













            I believe that this




            Can't be done in the time allotted




            The strategy that comes to mind




            Is to have the Good tanker trail, remaining on Earth for as long as possible to send fuel to the other two ships.




            After 18 hours




            The small ship and bad tanker will both be fully fueled, containing 2 and 8 units respectively, 3/8 of the way to XYZ, the good tanker will also be fully fueled, containing 8 units, and Earth will have 2 units remaining. At this point, the good tanker is forced to leave Earth if it wants to reach ABC within the time limit.




            At this point




            The Small ship needs to travel 5 additional units, the lead tanker needs to travel 2 additional units, and the trailing tanker needs to travel 5 units, for a total of 12. The ships total only 18 units of fuel, leaving a maximum of 6 units of fuel in the tankers once they reach ABC.







            share|improve this answer




















            • The flaw in your reasoning is the good tanker does not have to reach ABC. Instead it can fuel the bad tanker which delivers the fuel.
              – Bennett Bernardoni
              3 hours ago










            • @BennettBernardoni "...deliver both fuel tanks to them, that have at least 7 Units combined"
              – Sconibulus
              3 hours ago










            • I didn't see that part. In that case I agree with your answer. This can only be solved with dropping that requirement or 6 extra hours.
              – Bennett Bernardoni
              3 hours ago















            up vote
            2
            down vote













            I believe that this




            Can't be done in the time allotted




            The strategy that comes to mind




            Is to have the Good tanker trail, remaining on Earth for as long as possible to send fuel to the other two ships.




            After 18 hours




            The small ship and bad tanker will both be fully fueled, containing 2 and 8 units respectively, 3/8 of the way to XYZ, the good tanker will also be fully fueled, containing 8 units, and Earth will have 2 units remaining. At this point, the good tanker is forced to leave Earth if it wants to reach ABC within the time limit.




            At this point




            The Small ship needs to travel 5 additional units, the lead tanker needs to travel 2 additional units, and the trailing tanker needs to travel 5 units, for a total of 12. The ships total only 18 units of fuel, leaving a maximum of 6 units of fuel in the tankers once they reach ABC.







            share|improve this answer




















            • The flaw in your reasoning is the good tanker does not have to reach ABC. Instead it can fuel the bad tanker which delivers the fuel.
              – Bennett Bernardoni
              3 hours ago










            • @BennettBernardoni "...deliver both fuel tanks to them, that have at least 7 Units combined"
              – Sconibulus
              3 hours ago










            • I didn't see that part. In that case I agree with your answer. This can only be solved with dropping that requirement or 6 extra hours.
              – Bennett Bernardoni
              3 hours ago













            up vote
            2
            down vote










            up vote
            2
            down vote









            I believe that this




            Can't be done in the time allotted




            The strategy that comes to mind




            Is to have the Good tanker trail, remaining on Earth for as long as possible to send fuel to the other two ships.




            After 18 hours




            The small ship and bad tanker will both be fully fueled, containing 2 and 8 units respectively, 3/8 of the way to XYZ, the good tanker will also be fully fueled, containing 8 units, and Earth will have 2 units remaining. At this point, the good tanker is forced to leave Earth if it wants to reach ABC within the time limit.




            At this point




            The Small ship needs to travel 5 additional units, the lead tanker needs to travel 2 additional units, and the trailing tanker needs to travel 5 units, for a total of 12. The ships total only 18 units of fuel, leaving a maximum of 6 units of fuel in the tankers once they reach ABC.







            share|improve this answer












            I believe that this




            Can't be done in the time allotted




            The strategy that comes to mind




            Is to have the Good tanker trail, remaining on Earth for as long as possible to send fuel to the other two ships.




            After 18 hours




            The small ship and bad tanker will both be fully fueled, containing 2 and 8 units respectively, 3/8 of the way to XYZ, the good tanker will also be fully fueled, containing 8 units, and Earth will have 2 units remaining. At this point, the good tanker is forced to leave Earth if it wants to reach ABC within the time limit.




            At this point




            The Small ship needs to travel 5 additional units, the lead tanker needs to travel 2 additional units, and the trailing tanker needs to travel 5 units, for a total of 12. The ships total only 18 units of fuel, leaving a maximum of 6 units of fuel in the tankers once they reach ABC.








            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered 4 hours ago









            Sconibulus

            13.9k12698




            13.9k12698











            • The flaw in your reasoning is the good tanker does not have to reach ABC. Instead it can fuel the bad tanker which delivers the fuel.
              – Bennett Bernardoni
              3 hours ago










            • @BennettBernardoni "...deliver both fuel tanks to them, that have at least 7 Units combined"
              – Sconibulus
              3 hours ago










            • I didn't see that part. In that case I agree with your answer. This can only be solved with dropping that requirement or 6 extra hours.
              – Bennett Bernardoni
              3 hours ago

















            • The flaw in your reasoning is the good tanker does not have to reach ABC. Instead it can fuel the bad tanker which delivers the fuel.
              – Bennett Bernardoni
              3 hours ago










            • @BennettBernardoni "...deliver both fuel tanks to them, that have at least 7 Units combined"
              – Sconibulus
              3 hours ago










            • I didn't see that part. In that case I agree with your answer. This can only be solved with dropping that requirement or 6 extra hours.
              – Bennett Bernardoni
              3 hours ago
















            The flaw in your reasoning is the good tanker does not have to reach ABC. Instead it can fuel the bad tanker which delivers the fuel.
            – Bennett Bernardoni
            3 hours ago




            The flaw in your reasoning is the good tanker does not have to reach ABC. Instead it can fuel the bad tanker which delivers the fuel.
            – Bennett Bernardoni
            3 hours ago












            @BennettBernardoni "...deliver both fuel tanks to them, that have at least 7 Units combined"
            – Sconibulus
            3 hours ago




            @BennettBernardoni "...deliver both fuel tanks to them, that have at least 7 Units combined"
            – Sconibulus
            3 hours ago












            I didn't see that part. In that case I agree with your answer. This can only be solved with dropping that requirement or 6 extra hours.
            – Bennett Bernardoni
            3 hours ago





            I didn't see that part. In that case I agree with your answer. This can only be solved with dropping that requirement or 6 extra hours.
            – Bennett Bernardoni
            3 hours ago











            up vote
            1
            down vote













            Here is the ship movement log:




            Day 0 Hour 0: All ships fueled on earth. The small ship and low-quality fuel tank head off for planet ABC.

            Day 0 Hour 12: The small ship needs a refuel from the high-quality ship which refuels from earth.

            Day 1 Hour 0: The small ship and the low-quality ship refuel from the high-quality ship which refuels from earth. The high-quality ship leaves earth.

            Day 1 Hour 6: The small ship and low-quality ship reach planet ABC. The small ship continues to XYZ and the low-quality ship delivers its 7 fuel and stays there.

            Day 1 Hour 12: The small ship needs a refuel from the high-quality ship.

            Day 2 Hour 0: The small ship reaches planet XYZ.




            And here is the fuel log:






            +--------+-----+-----+-----+-----+-----+
            |Day:Hour|Small| Low | High|Earth| ABC |
            +--------+-----+-----+-----+-----+-----+
            | 0:00 | 2 | 8 | 8 | 8 | 0 |
            | 0:06 | 1 | 7 | 8 | 8 | 0 |
            | 0:12 | 2 | 6 | 8 | 6 | 0 |
            | 0:18 | 1 | 5 | 8 | 6 | 0 |
            | 1:00 | 2 | 8 | 8 | 0 | 0 |
            | 1:06 | 1 | 0 | 7 | 0 | 7 |
            | 1:12 | 2 | 0 | 4 | 0 | 7 |
            | 1:18 | 1 | 0 | 3 | 0 | 7 |
            | 2:00 | 0 | 0 | 2 | 0 | 7 |
            +--------+-----+-----+-----+-----+-----+






            share|improve this answer
























              up vote
              1
              down vote













              Here is the ship movement log:




              Day 0 Hour 0: All ships fueled on earth. The small ship and low-quality fuel tank head off for planet ABC.

              Day 0 Hour 12: The small ship needs a refuel from the high-quality ship which refuels from earth.

              Day 1 Hour 0: The small ship and the low-quality ship refuel from the high-quality ship which refuels from earth. The high-quality ship leaves earth.

              Day 1 Hour 6: The small ship and low-quality ship reach planet ABC. The small ship continues to XYZ and the low-quality ship delivers its 7 fuel and stays there.

              Day 1 Hour 12: The small ship needs a refuel from the high-quality ship.

              Day 2 Hour 0: The small ship reaches planet XYZ.




              And here is the fuel log:






              +--------+-----+-----+-----+-----+-----+
              |Day:Hour|Small| Low | High|Earth| ABC |
              +--------+-----+-----+-----+-----+-----+
              | 0:00 | 2 | 8 | 8 | 8 | 0 |
              | 0:06 | 1 | 7 | 8 | 8 | 0 |
              | 0:12 | 2 | 6 | 8 | 6 | 0 |
              | 0:18 | 1 | 5 | 8 | 6 | 0 |
              | 1:00 | 2 | 8 | 8 | 0 | 0 |
              | 1:06 | 1 | 0 | 7 | 0 | 7 |
              | 1:12 | 2 | 0 | 4 | 0 | 7 |
              | 1:18 | 1 | 0 | 3 | 0 | 7 |
              | 2:00 | 0 | 0 | 2 | 0 | 7 |
              +--------+-----+-----+-----+-----+-----+






              share|improve this answer






















                up vote
                1
                down vote










                up vote
                1
                down vote









                Here is the ship movement log:




                Day 0 Hour 0: All ships fueled on earth. The small ship and low-quality fuel tank head off for planet ABC.

                Day 0 Hour 12: The small ship needs a refuel from the high-quality ship which refuels from earth.

                Day 1 Hour 0: The small ship and the low-quality ship refuel from the high-quality ship which refuels from earth. The high-quality ship leaves earth.

                Day 1 Hour 6: The small ship and low-quality ship reach planet ABC. The small ship continues to XYZ and the low-quality ship delivers its 7 fuel and stays there.

                Day 1 Hour 12: The small ship needs a refuel from the high-quality ship.

                Day 2 Hour 0: The small ship reaches planet XYZ.




                And here is the fuel log:






                +--------+-----+-----+-----+-----+-----+
                |Day:Hour|Small| Low | High|Earth| ABC |
                +--------+-----+-----+-----+-----+-----+
                | 0:00 | 2 | 8 | 8 | 8 | 0 |
                | 0:06 | 1 | 7 | 8 | 8 | 0 |
                | 0:12 | 2 | 6 | 8 | 6 | 0 |
                | 0:18 | 1 | 5 | 8 | 6 | 0 |
                | 1:00 | 2 | 8 | 8 | 0 | 0 |
                | 1:06 | 1 | 0 | 7 | 0 | 7 |
                | 1:12 | 2 | 0 | 4 | 0 | 7 |
                | 1:18 | 1 | 0 | 3 | 0 | 7 |
                | 2:00 | 0 | 0 | 2 | 0 | 7 |
                +--------+-----+-----+-----+-----+-----+






                share|improve this answer












                Here is the ship movement log:




                Day 0 Hour 0: All ships fueled on earth. The small ship and low-quality fuel tank head off for planet ABC.

                Day 0 Hour 12: The small ship needs a refuel from the high-quality ship which refuels from earth.

                Day 1 Hour 0: The small ship and the low-quality ship refuel from the high-quality ship which refuels from earth. The high-quality ship leaves earth.

                Day 1 Hour 6: The small ship and low-quality ship reach planet ABC. The small ship continues to XYZ and the low-quality ship delivers its 7 fuel and stays there.

                Day 1 Hour 12: The small ship needs a refuel from the high-quality ship.

                Day 2 Hour 0: The small ship reaches planet XYZ.




                And here is the fuel log:






                +--------+-----+-----+-----+-----+-----+
                |Day:Hour|Small| Low | High|Earth| ABC |
                +--------+-----+-----+-----+-----+-----+
                | 0:00 | 2 | 8 | 8 | 8 | 0 |
                | 0:06 | 1 | 7 | 8 | 8 | 0 |
                | 0:12 | 2 | 6 | 8 | 6 | 0 |
                | 0:18 | 1 | 5 | 8 | 6 | 0 |
                | 1:00 | 2 | 8 | 8 | 0 | 0 |
                | 1:06 | 1 | 0 | 7 | 0 | 7 |
                | 1:12 | 2 | 0 | 4 | 0 | 7 |
                | 1:18 | 1 | 0 | 3 | 0 | 7 |
                | 2:00 | 0 | 0 | 2 | 0 | 7 |
                +--------+-----+-----+-----+-----+-----+







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 4 hours ago









                Bennett Bernardoni

                2,417517




                2,417517




















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