1961 AHSME Problems/Problem 37

In racing over a given distance $d$ at uniform speed, $A$ can beat $B$ by 20 yards, $B$ can beat $C$ by 10 yards, and $A$ can beat $C$ by 28 yards. Then $d$ , in yards, equals:

$\textbf{(A)}\ \textrm{not determined by the given information} \qquad \textbf{(B)}\ 58 \qquad \textbf{(C)}\ 100 \qquad \textbf{(D)}\ 116 \qquad \textbf{(E)}\ 120$ These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.

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1961 AHSME Problems/Problem 37