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

Step-by-step explanation:

To find the required number of minutes

Let us find the LCM of 18 and 12

We have

18 => 2 × 3 × 3 = 2 × 3²

12.=> 2 × 2 × 3 = 2² × 3

LCM (18,12) => 2² × 3² = 36

After 36 minutes Sonia will be at the starting point after completing 2 rounds of the field and Ravi also be at same point after 3 rounds

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

Since, Both Sonia and Ravi move in the same direction and at the same time, the method to find the time when they will be meeting again at the starting point is LCM of 18 and 12.

Therefore, LCM(18,12) = 2×3×3×2×1 = 36

• Hence, Sonia and Ravi will meet again at the starting point after 36 minutes.