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

The way I thought was:

Suppose the track was divided into 60 units. Then, in 20 seconds, Dances would be 20 units away.

Wolves would have to make up the other 40 units to meet Dances. So Wolves moves twice as fast. Since 1/2 of 60 is 30, Wolves takes 30 seconds.

Posted by Gamer on 2003-04-18 06:54:14