AMC 10 Step by Step
2012 AMC 10AProblem 16P16-20~4 minPrint

Three runners start running simultaneously from the same point on a 500500 -meter circular track. They each run clockwise around the course maintaining constant speeds of 4.44.4 , 4.84.8 , and 5.05.0 meters per second. The runners stop once they are all together again somewhere on the circular course. How many seconds do the runners run?

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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.