MathDB
2010 AMC 8 #8

Source:

May 21, 2011

Problem Statement

As Emily is riding her bike on a long straight road, she spots Ermenson skating in the same direction 1/21/2 mile in front of her. After she passes him, she can see him in her rear mirror until he is 1/21/2 mile behind her. Emily rides at a constant rate of 1212 miles per hour. Ermenson skates at a constant rate of 88 miles per hour. For how many minutes can Emily see Ermenson?
<spanclass=latexbold>(A)</span> 6<spanclass=latexbold>(B)</span> 8<spanclass=latexbold>(C)</span> 12<spanclass=latexbold>(D)</span> 15<spanclass=latexbold>(E)</span> 16 <span class='latex-bold'>(A)</span>\ 6 \qquad<span class='latex-bold'>(B)</span>\ 8\qquad<span class='latex-bold'>(C)</span>\ 12\qquad<span class='latex-bold'>(D)</span>\ 15\qquad<span class='latex-bold'>(E)</span>\ 16