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Cyclists on circular track

Source: Czech and Slovak Olympiad 1961, National Round, Problem 3

June 16, 2024
computation

Problem Statement

Two cyclists start moving simultaneously in opposite directions on a circular circuit. The first cyclist maintains a constant speed c1c_1 meters per second, the second maintains c2c_2 meters per second. How many times did they meet when the first cyclist completed nn laps? Compute for c1=10,c2=7,n=11c_1=10,c_2=7,n=11.
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