Math CentralQuandaries & Queries


Question from Lee, a parent:

Nathan can walk at a rate of two meters per second while David can easily go three-and-a-half meters per second. David offers Nathana 45 meter head start. How many meters long should the race be in order for Nathan to win by a nose?

Hi Lee,

David walks at one-and-a-half meters per second faster than Nathan. Nathan is 45 metres ahead of David when David starts to walk. How long will it take David to catch up to Nathan? How far has david walked in that time?

I hope this helps,

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