Amit,Sucheta,and Neeti start running around a | vedclass

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(B) To find the time when they will meet again at the starting point,we need to calculate the Least Common Multiple $(LCM)$ of the times taken by each

Vedclass · Accepted Answer

$288$

Vedclass · Answer

(B) To find the time when they will meet again at the starting point,we need to calculate the Least Common Multiple $(LCM)$ of the times taken by each person to complete one round.The times taken are $18$,$24$,and $32$ seconds.Prime factorization:$18 = 2 	imes 3^2$$24 = 2^3 	imes 3$$32 = 2^5$$LCM$ is the product of the highest powers of all prime factors involved:$LCM(18, 24, 32) = 2^5 	imes 3^2 = 32 	imes 9 = 288$.Therefore,they will meet again at the starting point after $288 	ext{ seconds}$.

Amit,Sucheta,and Neeti start running around a circular track and complete one round in $18 \text{ seconds}$,$24 \text{ seconds}$,and $32 \text{ seconds}$,respectively. In how many seconds will the three meet again at the starting point if they all started running at the same time?

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