2014 AMC 8 Problems/Problem 24: Difference between revisions

Revision as of 19:31, 26 November 2014

2014 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 23	Followed by Problem 25
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All AJHSME/AMC 8 Problems and Solutions

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-A straight one-mile stretch of highway, <math>40</math> feet wide, is closed. Robert rides his bike on a path composed of semicircles as shown. If he rides at <math>5</math> miles per hour, how many hours will it take to cover the one-mile stretch?
-Note: <math>1</math> mile= <math>5280</math> feet
-<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));
-D((-1.5,0)--(5.5,0),dashed);
-D((-1.5,-1)--(5.5,-1));
-</asy>
-<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>
-==See Also==
 {{AMC8 box|year=2014|num-b=23|num-a=25}}
 {{MAA Notice}}