Why do runners always run around the track in an anticlockwise
direction?
Do they develop a clinical lean?
Mike and Monisha meet at the race track, which is $400 \; \text{m}$
round. Just to make a point, Mike runs anticlockwise whilst Monisha
runs clockwise, normally Mike can complete a circuit of the track
in two thirds of the time Monisha takes.
They agree to stop when they both meet at the start again. Where
will they meet on their way around and will they ever meet at the
start again? If so, after how many circuits?