AHSME 1962 Problem 10

A man drives $150$ miles to the seashore in $3$ hours and $20$ minutes. He returns from the shore to the starting point in $4$ hours and $10$ minutes. Let $r$ be the average rate for the entire trip. Then the average rate for the trip going exceeds $r$ in miles per hour, by: $\textbf{(A)}\ 5 \textbf{(B)}\ 4\frac{1}{2} \textbf{(C)}\ 4 \textbf{(D)}\ 2 \textbf{(E)}\ 1$