AHSME 1961 Problem 37

In racing over a 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: $\textbf{(A)}\ \text{Not determined by the given information} \textbf{(B)}\ 58 \textbf{(C)}\ 100 \textbf{(D)}\ 116 \textbf{(E)}\ 120$