2023 AMC 8 Problem 15

Viswam walks half a mile to get to school each day. His route consists of 10 city blocks of equal length and he takes one minute to walk each block. Today, after walking 5 blocks, Viswam discovers that he has to make a detour, walking 3 blocks of equal length instead of 1 block to reach the next corner. From the time he starts his detour, at what speed, in miles per hour, must Viswam walk in order to arrive at school at his usual time?

\textbf{(A)} 4 \qquad \textbf{(B)} 4.2 \qquad \textbf{(C)} 4.5 \qquad \textbf{(D)} 4.8 \qquad \textbf{(E)} 5

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.