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2006 AMC 10A Question 15

AMC10 · 2006 AMC 10A

Question 15

Odell and Kershaw run for $30$ minutes on a circular track. Odell runs clockwise at $250$ m/min and uses the inner lane with a radius of $50$ meters. Kershaw runs counterclockwise at $300$ 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?
  1. $29$
  2. $42$
  3. $45$
  4. $47$
  5. $50$