Difference between revisions of "2014 AMC 8 Problems/Problem 25"

Revision as of 15:41, 28 September 2024

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2014 AMC 8 (Problems • Answer Key • Resources)
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All AJHSME/AMC 8 Problems and Solutions

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-==Problem==
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-A straight one-mile stretch of highway, 40 feet wide, is closed. Robert rides his bike on a path composed of semicircles as shown. If he rides at 5 miles per hour, how many hours will it take to cover the one-mile stretch?
-<asy>size(10cm); pathpen=black; pointpen=black;
-D(arc((-2,0),1,300,360));
-D(arc((0,0),1,0,180));
-D(arc((2,0),1,180,360));
-D(arc((4,0),1,0,180));
-D(arc((6,0),1,180,240));
-D((-1.5,-1)--(5.5,-1));</asy>
-Note: 1 mile = 5280 feet
-<math> \textbf{(A) }\frac{\pi}{11}\qquad\textbf{(B) }\frac{\pi}{10}\qquad\textbf{(C) }\frac{\pi}{5}\qquad\textbf{(D) }\frac{2\pi}{5}\qquad\textbf{(E) }\frac{2\pi}{3} </math>
-solution to rizz
-hi
 ==Solution==