MathDB
A Race

Source: 1964 AHSME Problem 26

August 23, 2013
AMC

Problem Statement

In a ten-mile race First beats Second by 22 miles and First beats Third by 44 miles. If the runners maintain constant speeds throughout the race, by how many miles does Second beat Third?
<spanclass=latexbold>(A)</span> 2<spanclass=latexbold>(B)</span> 214<spanclass=latexbold>(C)</span> 212<spanclass=latexbold>(D)</span> 234<spanclass=latexbold>(E)</span> 3 <span class='latex-bold'>(A)</span>\ 2\qquad<span class='latex-bold'>(B)</span>\ 2\frac{1}{4}\qquad<span class='latex-bold'>(C)</span>\ 2\frac{1}{2}\qquad<span class='latex-bold'>(D)</span>\ 2\frac{3}{4}\qquad<span class='latex-bold'>(E)</span>\ 3