AHSME 1967 Problem 27

Two candles of the same length are made of different materials so that one burns out completely at a uniform rate in $3$ hours and the other in $4$ hours. At what time P.M. should the candles be lighted so that, at 4 P.M., one stub is twice the length of the other? $\textbf{(A) 1:24} \textbf{(B) 1:28} \textbf{(C) 1:36} \textbf{(D) 1:40} \textbf{(E) 1:48}$