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(A) To find the time when Sonia and Ravi meet again at the starting point,we need to find the Least Common Multiple $(LCM)$ of the time taken by them

Vedclass · Accepted Answer

$36$ minutes

Vedclass · Answer

(A) To find the time when Sonia and Ravi meet again at the starting point,we need to find the Least Common Multiple $(LCM)$ of the time taken by them to complete one round.Time taken by Sonia = $18$ minutes.Time taken by Ravi = $12$ minutes.Prime factorization of $18 = 2 	imes 3^2$.Prime factorization of $12 = 2^2 	imes 3$.$LCM(18, 12) = 2^2 	imes 3^2 = 4 	imes 9 = 36$.Therefore,they will meet again at the starting point after $36$ minutes.

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