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Racing on a Track

Source: 2016 AMC 8 #16

November 23, 2016
AMC 82016 AMC 8

Problem Statement

Annie and Bonnie are running laps around a 400-meter oval track. They started together, but Annie has pulled ahead because she is 25%25 \% faster than Bonnie. How many laps will Annie have run when she first passes Bonnie?
<spanclass=′latex−bold′>(A)</span>114<spanclass=′latex−bold′>(B)</span>313<spanclass=′latex−bold′>(C)</span>4<spanclass=′latex−bold′>(D)</span>5<spanclass=′latex−bold′>(E)</span>25<span class='latex-bold'>(A) </span>1 \frac{1}{4}\qquad<span class='latex-bold'>(B) </span>3 \frac{1}{3}\qquad<span class='latex-bold'>(C) </span>4\qquad<span class='latex-bold'>(D) </span>5\qquad <span class='latex-bold'>(E) </span>25
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