Reservoir Running

Amy and Phyllis are standing at opposite points on a round pond on the path that circles the pond at its edge. At the same time, they start racing around the pond in opposite directions. They meet for the first time after Phyllis has traveled 100 yards, and they meet again 60 yards before Amy has completed her first lap. What is the circumference of the path around the pond?


Show/Hide Solution

Probably the easiest way to think of this is to realize that the ratio of the distances the two girls have run at the two points they meet is the same:

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