2021 WSMO Team Round Problems/Problem 5

Problem

Two runners are running at different speeds. The first runner runs at a consistent 12 miles per hour. The second runner runs at $t+4$ miles per hour, where $t$ is the number of hours that have passed. After $n$ hours, the runners have run the same distance, where $n$ is positive. Find $n$.

Proposed by pinkpig

Solution