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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.

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?

This Question has 1 answers.

Sonia takes 18 minutes for one round, and Ravi takes 12 minutes for one round.

Step 1: Find the prime factorization of 18 and 12:
18=2×32
12=22×3

Step 2: LCM is the product of all prime factors, each raised to the highest power:
LCM(18,12)=22×32=36

Thus, Sonia and Ravi will meet again at the starting point after 36 minutes.

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