Dances runs around a track in sixty seconds. Wolves, running in the opposite direction around the track, meets Dances every twenty seconds. How long does it take for Wolves to run around the track?
-Problem modified from UNL Math Day
Dances plus wolves (opposite direction) complete a lap in one third the time of dances alone, and hence run three times faster.
Therefore wolves run twice as fast as dances, and complete a lap in half the time: 30 seconds.