Meeting point

Malcolm and Nikki run at different speeds. They set off in opposite directions around a circular track. Where on the track will they meet?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



Nikki covers any distance in one third of the time it takes Malcolm to run the same distance.

They set off in opposite directions around the track as shown.

Image
Meeting Point


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.