AMC 10 Step by Step
2006 AMC 10AProblem 15P11-15~5 minPrint

Odell and Kershaw run for 3030 minutes on a circular track. Odell runs clockwise at 250 m/min\text{250 m/min} and uses the inner lane with a radius of 5050 meters. Kershaw runs counterclockwise at 300 m/min\text{300 m/min} and uses the outer lane with a radius of 6060 meters, starting on the same radial line as Odell. How many times after the start do they pass each other?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.