Difference between revisions of "2006 AMC 10A Problems/Problem 15"

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*[[2006 AMC 10A Problems]]
 
*[[2006 AMC 10A Problems]]
  
*[[2006 AMC 10A Problems/Problem 13|Previous Problem]]
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*[[2006 AMC 10A Problems/Problem 14|Previous Problem]]
  
*[[2006 AMC 10A Problems/Problem 15|Next Problem]]
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*[[2006 AMC 10A Problems/Problem 16|Next Problem]]
  
 
[[Category:Introductory Algebra Problems]]
 
[[Category:Introductory Algebra Problems]]
 
[[Category:Introductory Geometry Problems]]
 
[[Category:Introductory Geometry Problems]]

Revision as of 14:52, 4 August 2006

Problem

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?

$\mathrm{(A) \ } 29\qquad\mathrm{(B) \ } 42\qquad\mathrm{(C) \ } 45\qquad\mathrm{(D) \ } 47\qquad\mathrm{(E) \ } 50\qquad$

Solution

See Also