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?

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30 minutes

36 minutes

35 minutes

40 minutes

answer is B.

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Detailed Solution

Given Sonia takes 18 minutes to drive one round of the field.
Ravi takes 12 minutes for the same.
Firstly, finding the prime factors of 12 and 18,

12 = 2 × 2 × 3 18 = 2 × 3 × 3

Formula for finding L.C.M is,
= Product common factors × product of remaining prime factors

= (2 × 3) × (2 × 3)

= 36
Therefore, they will meet again after 36 minutes.
Hence, option 2 is correct.

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