A and B start from point P of a 300 m circular track, A clockwise at 5 m/s and B anticlockwise at 7 m/s. Every time they meet, both turn round and run the other way at the same speeds. Where do they meet for the second time?

Question

Accepted Answer

At P. First meeting after 300/12=25 s, 125 m clockwise from P. After turning, A runs back 125 m anticlockwise and B runs 175 m clockwise in the next 25 s; both land on P (125+175=300). So the second meeting is at P.

A and B start from point P of a 300 m circular track, A clockwise at 5 m/s and B anticlockwise at 7 m/s. Every time they meet, both turn round and run the other way at the same speeds. Where do they meet for the second time?

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