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How Many Days?
 
Q Froggie fell down a 10-foot well. He cannot hop out. He has to climb out. He climbs three feet a day, but during the night, while resting, he slips back two feet. At this rate, how many days will it take Froggie to climb out of the well?


 
A Froggie makes one foot of progress every twenty-four hours. So after seven days (and nights), he will have climbed seven feet. Then on day eight, he will climb the three feet he manages per day; those three feet will bring him to the top of the well, from where, before nightfall, he will jump and drop to the ground. In all, his journey will take eight days.

Based on a puzzle inThe World's Best Puzzlesby Charles Barry Townsend. New York: Sterling Publishing, 1986.