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A banana plantation is located next to a desert. The plantation owner has 3000 bananas that he wants to transport to the market by camel, across a 1000 kilometer stretch of desert. The owner has only one camel, which carries a maximum of 1000 bananas at any moment in time, and eats one banana every kilometre it travels. What is the largest number of bananas that can be delivered at the market?
Comments (8)

first leg-out, back, out, back, out. 5 one way trips bananas consumed 1000, bananas moved 2000 1000/5=200 units.
Status 2000 bananas at unit 200
Second leg out, back, out. 3 one way trips
Bananas consumed 1000, bananas moved 1000
1000/3=333 1/3 units
Status 1000 bananas at unit 200+333 1/3=533 1/3
Third les one trip 466 2/3 units (1000-533 1/3)
Bananas consumed 466 2/3
Bananas delivered on far side 533 1/3.
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