7. 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?
7. There is a circular path around a sports field.
Time taken by Sonia to complete one round = 18 minutes
Time taken by Ravi to complete one round = 12 minutes
They will meet again at the starting point after the LCM of 18 and 12.
Prime factorisation:
18 = 2 × 32
12 = 22 × 3
LCM = 22 × 32 = 36
Therefore, Sonia and Ravi will meet again at the starting point after 36 minutes.