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There is a circular path around a sports field. Raman takes 18 minutes to drive one round of the field while Anupriya takes 12 minutes for the same. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet again at the starting point.

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Time is taken by Raman to complete one round of field = 18 min.

Time is taken by Anupriya to complete one round of field = 12 min.

They will meet again at staring point = L.C.M. (18, 12)

Prime factors of 18 and 12

18 = 2 × 3 × 3 = 2 × 32

12 = 2 × 2 × 3 = 22 × 3

L.C.M. (18, 12) = 22 × 32 = 4 × 9 = 36

Hence, Raman and Anupriya will be meet after 36 minute at starting point.

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