# Interesting problem with carrying bananas

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You have three thousand bananas that you have to get to a destination 1000 miles away. You can only carry 1000 bananas at a time. You also must eat 1 banana per mile for energy. Assuming you design your trip as efficiently as possible, how many bananas will you have left when you arrive at the destination? (apparently someone got more than 500 bananas as an answer?)

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#### Solution Preview

We have to consume one banana for every one mile of distance covered (be it backward or forward).

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<br>Proceed as follows

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<br>Carry 1000 bananas 200 miles, drop off 600 bananas, return consuming

<br>all remaining 200 bananas to get back to the start. ...

#### Solution Summary

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