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2006 AMC 10A Problem 15

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2006 AMC 10A Problem 15AMC 10 Step by Step

Name: Date: September 13, 2026

Linear Equations & Word Problems · difficulty 3 of 5 · about 5 min · position P11-15

Odell and Kershaw run for $30$ minutes on a circular track. Odell runs clockwise at $\text{250 m/min}$ and uses the inner lane with a radius of $50$ meters. Kershaw runs counterclockwise at $\text{300 m/min}$ and uses the outer lane with a radius of $60$ meters, starting on the same radial line as Odell. How many times after the start do they pass each other?

A)
$29$
B)
$42$
C)
$45$
D)
$47$
E)
$50$

2006 AMC 10A Problem 15

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