All Questions

Hungry Truck Driver

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Parts

Part 1

A truck driver has been tasked with transporting $3000$ apples between towns $A$ and $B$, which are $1000$ miles apart. However, if the truck driver is driving while there are apples in his truck, he will eat them at a rate of $1$ apple per mile. The truck has a maximum capacity of $1000$ apples at any one time. The driver may deposit apples at any point between $A$ and $B$.

How can he get the maximum possible number of apples from town $A$ to town $B$?