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Question

A man is trying to climb over a frozen mountain that is sixty feet high. 
Every minute, he can climb up to 3 feet, but due to the ice which is slippery, he slips back 2 feet.

Can you determine how long will it take him to reach the top of the mountain?


Solution

It will take the man 58 minutes to reach the top.

Since for every single minute, he is climbing 3 feet and falling 2 feet back, he is actually climbing 1 feet every minute.

Therefore, he would have climbed 57 feet in 57 minutes. The remaining distance is 3 feet. He will take one more minute to climb it and reach the surface. Since he has reached the top surface, he won't slip back.

Please share your thoughts in the comments.
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