# 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?

**Solution:**

Given:

- Sonia takes 18 minutes to drive one round of the field.
- Ravi takes 12 minutes for the same.
- They both start at the same point and at the same time and go in the same direction.

Time taken by Sonia is more than Ravi to complete one round. Now, you have to find after how many minutes will they meet again at the same point. For this, there will be a number that is divisible by both 18 and 12 and that will be the time when both meet again at the starting point. To find this you have to take LCM of both numbers.

Let's find LCM of 18 and 12 by finding prime factorization of 12 and 18.

18 = 2 × 3 × 3

12 = 2 × 2 × 3

LCM of 12 and 18 = 2 × 2 × 3 × 3 = 36

Therefore, Ravi and Sonia will meet together at the starting point after 36 minutes

**Video Solution:**

## 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?

### NCERT Solutions Class 10 Maths Chapter 1 Exercise 1.2 Question 7 - Chapter 1 Exercise 1.2 Question 7:

Ravi and Sonia will meet together at the starting point after 36 minutes if both of them start at the same point at the same time and go in the same direction in a circular path around a sports field