math question?

Question

A camel rests by a pile of 3000 bananas at the edge of a 1000-mile-wide desert. He plans to travel across the desert, transporting as many bananas as possible to the other side. He can carry up to 1000 bananas at any given time, but he must eat one banana at every mile. What is the maximum number of bananas the camel can transport across the desert? How does he do it?

Answer 1

He takes 1000 bananas, travels 200 miles, leaves 600, returns. Does the same again. Collects the last 1000, travels 200 miles.

Now has 600 + 600 + 800 = 2000 bananas at the 200 mile mark.

Takes 1000, travels 333 miles; leaves 333, returns.
Collects the remaining 1000, travels the 333.

Now has 333 + 667 = 1000 banana at the 200 + 333 = 533 distance.

Continues the rest of the way; arrives with 467 bananas.