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A bicyclist starts his ride home from a point 10 miles away from his house, going 5 miles per hour (assume the road is a perfect straight line). At the same time, a frog, initially sitting on his helmet (always wear your helmet!) takes off and hops toward the house at 15 miles per hour. Upon reaching the house, the frog turns right around and hops back toward the bicyclist. When it reaches him, it turns around again and hops back to the house. The frog keeps doing this until the man finally arrives at the house himself. By the time he reached home, how many miles did the frog leap?
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