AMC 8 2019 Problem 16

Qiang drives $15$ miles at an average speed of $30$ miles per hour. How many additional miles will he have to drive at $55$ miles per hour to average $50$ miles per hour for the entire trip? $\textbf{(A) }45 \textbf{(B) }62 \textbf{(C) }90 \textbf{(D) }110 \textbf{(E) }135$