And important notice about troop movements has to be delivered in person across

Question

And important notice about troop movements has to be delivered in person across a stretch of desert the jeeps available to make the trip can carry enough fuel to get them halfway across the desert and there are no fueling stations along the way there are a number of identical jeeps all of which can transfer their field to any other but there are no fuel containers available or ropes to cello extra jeeps be a hero and devise a strategy to get the message delivered what is the fewest number of jeeps that should be sent out to start with an order for the message to be delivered And important notice about troop movements has to be delivered in person across a stretch of desert the jeeps available to make the trip can carry enough fuel to get them halfway across the desert and there are no fueling stations along the way there are a number of identical jeeps all of which can transfer their field to any other but there are no fuel containers available or ropes to cello extra jeeps be a hero and devise a strategy to get the message delivered what is the fewest number of jeeps that should be sent out to start with an order for the message to be delivered

Explanation / Answer

The correct answer is minimum 4 jeeps

Reason:

Initially 4 jeep starts with full tanks from the same point

At 1/6th of the total distance, all jeeps are 2/3 full. One jeep will fill the remaining two jeeps with 1/3 empty and will left at the same place, so we will have two full jeeps and one 2/3rd jeep

At 2/6th of the distance, we have two cars with 2/3rd full and one with 1/3rd full. The one third full will fill one jeep with its fuel and make one car full and one will be 2/3rd

At 3/6th distance, we will have one jeep with 2/3rd full and one with 1/3rd full, so the 1/3rd full will provide the fuel to 2/3rd full and stop at that moment.

Hence we will have one car full of fuel at half location, so this car can now be taken to the final point

Hence the minimum answer is 4

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