Three friends A, B and C regularly jog in a circular jogging track every morning. The track is 1000 m in circumference.

A takes 8 mins to complete one lap, B takes 10 mins and 40 secs and C takes 12 mins. All of them setout from a same point but C runs in the opposite direction from starting point.

Another friend D joins this run. D normally takes 13 mins and 20 secs to complete one lap. He decides to run in the same direction as C but from a point 600 m ahead of C in his jogging direction. When will they all meet each other on the circular track & where?

(In reply to solution by Charlie)

Do the solutions to these problems always have the runners end up meeting at the starting point?  If so, is that because the composers intend this?  Or maybe it's the result of an assumption made in solving the problem.

Posted by Kevin on 2006-04-13 15:46:47