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There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi 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

Q7   There is a circular path around a sports field. Sonia takes 18 minutes to drive one round
        of the field, while Ravi 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?

Answers (1)
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S Sayak

The time after which they meet again at the starting point will be equal to the LCM of the times they individually take to complete one round.

Time taken by Sonia = 18 = 2 x 32

Time taken by Ravi = 12 = 22 x 3 

LCM(18,12) = 22 x 32 = 36

Therefore they would again meet at the starting point after 36 minutes.

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