Question

there is a circular path around the sports field Sonia takes 18 minutes to drive one round of the field while Ravi takes 12 minutes for the same supposed 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

Answer:

Step-by-step explanation:

Sonia drive one round of the field in 18 min = 2*3*3

Ravi drive one round of the field in 12 min = 2*2*3

LCM (18 AND 12) = 2*2*3*3

=36

LCM =36

After 36 min will they meet again at the starting point

Answer 2

After 36 mins

Step-by-step explanation:

For solving this question we have to find the LCM also known as the Least Common Multiple.

Given:

Time taken by Sonia to drive one round of the field = 18 mins

Time taken by Ravi to drive one round of the field = 12 mins

To Find:

LCM of 18 and 12

Solving by Prime Factorization:

Prime Factorization of 18 = 3 * 3 * 2

Prime Factorization of 12 = 2 * 2 * 3

LCM of 18 and 12 = 3 * 3 * 2 * 2 = 36 mins

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