42. A, B and C run on a circular path of 12 km length at 3 km/hr, 5 km/hr
and 13 km/hr speeds respectively. If all of them start in the same direction
from the same point at the same time, after how many hours will all of them
meet first?
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Answer:
Time taken by A = 312 hours = 4 hours.
Time taken by B = 712 hours.
Time taken by C = 1312 hours.
A, B, C will meet again after an interval.
= L.C.M of ( 14, 7, 12 and 1312 ) hours.
= H.C.F of ( 7, 13 ) L.C.M of ( 4, 12, 12 ) = 112 hours.
= 12 hours.
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