Problem

2023 AMC 8 Problem 13

Along the route of a bicycle race, 7 water stations are evenly spaced between the start and finish lines, as shown in the figure below. There are also 2 repair stations evenly spaced between the start and finish lines. The 3rd water station is located 2 miles after the 1st repair station. How long is the race in miles?

Problem 13 diagram

\textbf{(A)} 8 \qquad \textbf{(B)} 16 \qquad \textbf{(C)} 24 \qquad \textbf{(D)} 48 \qquad \textbf{(E)} 96


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


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