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Three men A, B and C go round a circle 1760 metres in circumference at the rates of 160, 120 and 105 metres per minute respectively. If they all start together, when will they first be together again?

A.	6 hours 52 minutes	B.	5 hours 52 minutes
C.	6 hours 12 minutes	D.	5 hours 58 minutes

Answer and Explanation

Answer:5 hours 52 minutes

Explanation:
A and B move at a relative speed of (160 â€“ 120) = 40 m/minute
=> A and B come together in 1760/40 = 44 minutes
=> A and C move together at a relative speed of (160 â€“ 105)
=> = 55 m/minutes
=> A and C come together in (1760/55) = 32 minutes
=> A, B and C come together in 352 minutes (LCM of 44 and 32)
A, B and C come together in 5 hours 52 minutes.

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