Three men a,b,c walk around a circle 1760 meters in circumference at the rate of 160 meters, 120 meters and 105 meters per minute. If they all start together and walk in the same direction, after what time will they meet together again?
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Answer:
5 hours and 52 minutes.
Step-by-step explanation:
Total distance = 1760m (Given)
Distance of A = 160m (Given)
Distance of B = 120m (Given)
Distance of C = 105m (Given)
A and B are moving at a relative speed of ( 160 and 120 ) = 40 per min
A and C are moving at a relative speed of ( 160 and 105 ) = 55 per min
A and B come together in time = 1760/ 40 = 44 mins
A and C come together in time = 1760/ 55 = 32 mins
Deriving LCM of 44 and 32 = 352 minutes
Thus, A B and C come together in 352 minutes
A B and C will come together in 5 hours and 52 minutes.
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