A, B, and C start running simultaneously from a point on a circular track 600 m long with speeds of 40 m/s, 70 m/s, and 80 m/s, respectively. A and B are moving in a clockwise direction, while C is moving in an anticlockwise direction. After how many seconds will all the three be together for the first time on the track?

30 seconds

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60 seconds

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75 seconds

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90 seconds

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Solution

The correct option is B
60 seconds

A and B will meet on the track after every 600/(70 – 40) or 20 seconds

A and C will meet on the track after every 600/(80 – 40) or 15 seconds.

Thus, A, B, and C will meet together for the first time on the track after LCM(15, 20) or 60 seconds.

Hence, option (B) is the correct answer.

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