Question

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

Answer 1

AnsWer :

• Time taken by the Sonia to complete one round is 18 minutes.
• Time taken by the Ravi to complete one round is 12 minutes.
• And we have to find that after what time they will meet again.

⛬ LCM of 18 and 12 is :

→ 18 = 2 × 3 × 3

→ 18 = 2 × 3²

→ 12 = 2 × 2 × 3

→ 12 = 2² × 3

Hence,LCM is :

→ LCM = 2² × 3²

→ LCM = 4 × 9

→ LCM = 36

⛬ After 36 minutes they will meet again.

Answer 2

For such questions, where we need to find the point where certain number of people/particles meet, we find out the LCM of the given digits.

LCM of 18 and 12:

12 = 2² × 3

18 = 2 × 3²

LCM = 2² × 3² = 4 × 9 = 36

Thus, the answer is 36