There is a circular path around a sports field. Shilpa takes 18 minutes to drive one round of the field, while Rahul takes 12 minutes for the same path. Suppose both of them start at the same point and at the same time and go in the same direction. After how many total minutes will both meet again at the starting point?

Answers

Question :

There is a circular path around a sports field. Shilpa takes 18 minutes to drive one round of the field, while Rahul takes 12 minutes for the same path. Suppose both of them start at the same point and at the same time and go in the same direction. After how many total minutes will both meet again at the starting point?Submitted on 3/3/2024 | Answered by Vandana Rana

Answer :

Since, if Shilpa and Rahul move in the same direction as well as at the same time, the method to get the time when they will meet again at the initial point is LCM of 18 and 12.
hence, LCM(18,12) = 2×3×3×2×1=36
We conclude, Shilpa and Rahul will meet again at the starting point after 36 minutes.