# A fair game

**Classical Mechanics**Level 3

Distance runners often run around an approximately circular trajectory. However, since some runners are running at a larger radius than others, they must be given an advantage in the beginning so that the race is fair.

If the path of the runner running at a greatest radius of \(20~\mbox{m}\) is \(100~\mbox{m}\) long, how far behind **in m** should the runner at the smallest radius start? The smallest radius is \(15~\mbox{m}\).