AHSME 1960 Problem 2

It takes $5$ seconds for a clock to strike $6$ o'clock beginning at $6:00$ o'clock precisely. If the strikings are uniformly spaced, how long, in seconds, does it take to strike $12$ o'clock? $\textbf{(A)}9\frac{1}{5} \textbf{(B )}10 \textbf{(C )}11 \textbf{(D )}14\frac{2}{5} \textbf{(E )}\text{none of these}$