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MathNet 2010 — Part 02 Question 31

Math Olympiad Vault · MathNet 2010 — Part 02

Question 31

Two particles travel a circular path of $120~\mathrm{m}$ long. The speed of one of them is $2~\mathrm{m}/\mathrm{s}$ greater than the other and it completes each lap in a time that is 3 seconds lower than the other. What is the speed of each particle?