A camel is sitting by a stack of 3000 bananas at edge of a 1000 mile wide desert. He is going to travel across the desert carrying as many bananas as he can to the other sides. He can carry 1000 bananas at a time, but he eats one banana every mile.

What is the maximum number of bananas the camel can get across the desert? How does the camel do it? Explain how you arrived to your answer.

Question

A camel is sitting by a stack of 3000 bananas at edge of a 1000 mile wide desert. He is going to travel across the desert carrying as many bananas as he can to the other sides. He can carry 1000 bananas at a time, but he eats one banana every mile. 

What is the maximum number of bananas the camel can get across the desert? How does the camel do it? Explain how you arrived to your answer.