2025 AMC 8 Problem 19

Two towns, A and B, are connected by a straight road, 15 miles long. Traveling from town A to town B, the speed limit changes every 5 miles: from 25 to 40 to 20 miles per hour (mph). Two cars, one at town A and one at town B, start moving toward each other at the same time. They drive at exactly the speed limit in each portion of the road. How far from town A, in miles, will the two cars meet?

\textbf{(A)} 7.75 \qquad \textbf{(B)} 8 \qquad \textbf{(C)} 8.25 \qquad \textbf{(D)} 8.5 \qquad \textbf{(E)} 8.75

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