2004 AMC 10A Problem 17
Problem 17 of 25IntermediateArithmetic
Brenda and Sally run in opposite directions on a circular track, starting at diametrically opposite points. They first meet after Brenda has run meters. They next meet after Sally has run meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters?
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Solution
Before the first meeting the two together cover half the track. Between the first and second meetings they together cover a full track, which is twice as far, so Brenda runs meters in that stretch.
Sally runs meters in the same stretch, so the full track length is
Thus, the correct answer is C.
Tagged: relative speed · distance rate and time · ratio and proportion