Three men A, B and C walk around a circular path of length 1760 meters at the rate of 160, 120, 105 m/minutes respectively. If they start together and walk in the same direction, when will they first be together again?
Explanation:
A gains (160 – 120) 40 m/min. over B and A gains (160 – 105) 88 m/min. over C so A will gain 1760 m
→ over B in 1760/40 = 44 mins → over C in 1760/55 = 32 mins
The three will be together when time will be LCM or multiple of LCM of 32 and 44 i.e., 352 min. or after 5 hours 52 min.
Hence, option (b).
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