H D3 TS Q34 – Selective High School

Sarah runs at 6 km per hour and Lily runs at 5 km per hour. They both run anticlockwise around a circular track of length 500 metres. Lily starts 200 metres ahead of Sarah.

At what position around the track (measured anticlockwise) will they be when Sarah first overtakes Lily?

100 metres from Sarah’s start point 200 metres from Sarah’s start point 300 metres from Sarah’s start point 400 metres from Sarah’s start point

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At what position around the track (measured anticlockwise) will they be when Sarah first overtakes Lily?