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How Far Can You Go?

Math brain teasers require computations to solve.

 

Puzzle ID:#31758
Fun:*** (2.73)
Difficulty:*** (2.71)
Category:Math
Submitted By:MarcM1098Aca****

 

 

 



Your assignment is to make a delivery from the depot to your base camp, 1600 miles away. The trip begins normally, but unfortunately, halfway to base camp, your supply truck breaks down. You have no way to call for help. Luckily, in addition to medical supplies, the truck is carrying a Desert Patrol Vehicle (DPV) and two barrels of fuel.

The DPV has a full 10 gallon tank, but to make room for the medical supplies, it can only carry one of the 45 gallon barrels at a time. While you can't transfer fuel between barrels, you can refill the tank from the barrels. Assume the DPV can get 12 miles per gallon, regardless of the load it carries.

How far can you go? Is it far enough to deliver the medical supplies and the DPV to your base camp?

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Hint

Use half of a tank to carry one barrel, then return for the other.
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