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2012 AMC 10A Problems/Problem 16

Revision as of 21:35, 8 February 2012 by Ace316 (talk | contribs) (Created page with "==Problem 16== Three runners start running simultaneously from the same point on a 500-meter circular track. They each run clockwise around the course maintaining constant speed...")
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Problem 16

Three runners start running simultaneously from the same point on a 500-meter circular track. They each run clockwise around the course maintaining constant speeds of 4.4, 4.8, and 5.0 meters per second. The runners stop once they are all together again somewhere on the circular course. How many seconds do the runners run?

$\textbf{(A)}\ 1,000\qquad\textbf{(B)}\ 1,250\qquad\textbf{(C)}\ 2,500\qquad\textbf{(D)}\ 5,000\qquad\textbf{(E)}\ 10,000$

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