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A, B and C can run around a circular path once in 252 seconds, 308 seconds and 198 seconds respectively. If they start running from a point simultaneo
Question

A, B and C can run around a circular path once in 252 seconds, 308 seconds and 198 seconds respectively. If they start running from a point simultaneously, after what time will they meet again at the starting point?

A.

42 minutes 50 seconds

B.

45 minutes

C.

26 minutes 30 seconds

D.

46 minutes 12 seconds

Correct option is D

Given:

Time taken to complete round by A = 252 second

Time taken to complete round by B = 308 second

Time taken to complete round by C = 198 second

Calculation:

LCM of 252, 308 and 198

252 = 2×2×3×3×7

308 = 2×2×7×11

198 = 2×3×3×11

LCM = 2×2×3×3×7×11= 2772

2772 minutes = 46 minutes 12 seconds

Therefore, they meet again after 46 minutes 12 seconds letter.

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