2014 AMC 10B Problem 3

#1
Peter drove the first third of his trip on a gravel road, the next \(20\) miles on pavement, and the remaining one-fifth on a dirt road. In miles how long was Peter's trip?

\( \textbf {(A) } 30 \qquad \textbf {(B) } \frac{400}{11} \qquad \textbf {(C) } \frac{75}{2} \qquad \textbf {(D) } 40 \qquad \textbf {(E) } \frac{300}{7}\)