Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point? ?->(Show Answer!)

1. Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?

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By: anil on 05 May 2019 01.38 am

Time after which they will meet at one point is the L.C.M. of the time taken by each girl Prime factorization of : 24 = $$2^3 imes 3$$ 36 = $$2^2 imes 3^2$$ 48 = $$2^4 imes 3$$ L.C.M. (24,36,48) = $$2^4 imes 3^2 = 144$$ $$ herefore$$ They will meet after 144 seconds = 2 min 24 sec => Ans - (B)

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