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About 5 years ago, I posted a similar exercise. New members may like hearing it too. I just changed the given values.
A city (A) has 16,800 liters of fuel (Va) in excess.
A city (B), 420 miles away (AB=420), was in real need of some fuel.
The available transport tank at (A) had a capacity of 4200 liters only (Vt) and it consumes 10 liters per mile (Ct).
Obviously, transporting any amount of fuel in one trip was not possible because AB = Vt/Ct; that is all transported fuel would be consumed in that trip.
Therefore, if it was possible, as requested, to install fuel reservoirs/stations anywhere between the two cities, what was the maximum quantity of fuel (Vb) that could be delivered at the second city (B)?
[1] 710 liters
[2] 1420 liters
[3] 2130 liters
[4] 2840 liters
[5] 3550 liters
Kerim
Last edited by KerimF (2023-12-13 20:18:00)
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I am afraid that this is another exercise whose logical solution is much harder than its numerical one which follows it.
So, even an AI robot cannot solve it, unless its human's programmer had the chance to hear its kind and knew how to solve it in the first place.
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By the way, we get the same result (Vb) if:
(Va) = 12600 liters (was 16,800 liters)
AB = 360 miles (was 420 miles)
(Vt) = 4200 liters (as before)
(Ct) = 10 liters/mile (as before)
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