MathDB
A and B around a track

Source: 1970 AHSME Problem 32

April 16, 2014
AMC

Problem Statement

AA and BB travel around a circular track at uniform speeds in opposite directions, starting from diametrically opposite points. If they start at the same time, meet first after BB has travelled 100100 yards, and meet a second time 6060 yards before AA completes one lap, then the circumference of the track in yards is
<spanclass=latexbold>(A)</span>400<spanclass=latexbold>(B)</span>440<spanclass=latexbold>(C)</span>480<spanclass=latexbold>(D)</span>560<spanclass=latexbold>(E)</span>880<span class='latex-bold'>(A) </span>400\qquad<span class='latex-bold'>(B) </span>440\qquad<span class='latex-bold'>(C) </span>480\qquad<span class='latex-bold'>(D) </span>560\qquad <span class='latex-bold'>(E) </span>880