Question

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?​

Answer 1

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The time of their meeting is the LCM of 18 and 12 in minutes.

Prime factorisation of 18 = 2× 3 × 3

Prime factorisation of 12 = 2 × 2 × 3

Hence, LCM of 18, 12 = 2 × 3 × 3 × 2 = 36

Sonia and Ravi meet after 36 minutes.

Answer 2

Step-by-step explanation:

Given:-

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.

To find:-

After how many minutes will they meet again at the starting point?

Solution:-

Time taken for completing the circular path by Sonia=18 minutes

Time taken for completing the circular path by Ravi=12 minutes

If they start at the same time in same direction then the time taken by both they will meet the starting point is the LCM of their time

=>LCM of 18 and 12

18=2×3×3

12=2×2×3

LCM=2×2×3×3=36

After 36minutes they will meet again at the starting point

Answer:-

After 36minutes they will meet again at the starting point.