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Logic Puzzles 6.0/10

The Camel and the Bananas

A camel must transport 3000 bananas across 1000 kilometers of desert. It can carry at most 1000 bananas at a time and eats 1 banana per kilometer traveled (in either direction). Bananas may be cached anywhere along the way. What is the maximum number of whole bananas that can reach the destination?

Related problems & prerequisites

Worth solving first

Source: Classic transport-optimisation puzzle in wide circulation, often called the jeep or camel-and-bananas problem. Statement written for AxiomIQ.