Q4 of 57 Page 25

Raman takes 18 minutes to drive one round of the field on circular path of a playground, while Anupriya takes 12 minutes to drive one round of the field on this circular path. Suppose they both start at the same point and at the same time, and go in the same direction. After how much time will they meet again at the starting point?

In the question it is mentioned that Anupriya takes 12 minutes and Raman takes 18 minutes. Since Anupriya takes lesser time as compared to Raman, so they both will meet again at the same time when Anupriya completes one round with respect to Raman. So the total time taken will be the LCM of 12 and 18 minutes.

12 = 2 × 2 × 3


18 = 2 × 3 × 3S


So LCM of 12 and 18 can be calculated as follows:



So LCM = 22 × 32


= 36


So they both will meet after 36 minutes.


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