Nikki covers any distance in one-third the time it takes Malcolm to run the same distance. They set off in opposite directions round the track as shown.

Where will they meet for the first time?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.

You can find more short problems, arranged by curriculum topic, in our short problems collection.