# 7. 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?

### Mohammed

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get 7. 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? from screen.

## There is a circular path around a sports field Sonia takes 18 minutes to drive one round of the fiel...

Free solutions for NCERT Solutions - Mathematics , Class 10 Chapter 2 - Real Numbers Real Numbers - Exercise 1.2 question 15. These explanations are written by Lido teacher so that you easily understand even the most difficult concepts

## NCERT Solutions Class 10 Mathematics Solutions for Real Numbers - Exercise 1.2 in Chapter 1 - Real Numbers

Prev Question 15

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:

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.

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## 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?

Click here👆to get an answer to your 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?

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?

Medium Open in App Solution Verified by Toppr

Correct option is A)

The time of their meeting is the LCM of 18 and 12 in minutes.Prime factorisation of 18=2×3×3

Prime factorisation of 12=2×2×3

Hence, LCM of 18,12=2×3×3×2=36

Sonia and Ravi meet after 36 minutes.

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## Ex 1.2, 7

Ex 1.2 , 7 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 t

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## Ex 1.2, 7 - Chapter 1 Class 10 Real Numbers (Term 1)

Last updated at March 16, 2023 by Teachoo

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### Transcript

Ex 1.2 , 7 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? Time taken by Sonia to drive one round = 18 minutes Time taken by Ravi to drive one round = 12 minutes Time taken by both to meet again = LCM of 18 & 12 We find LCM of 18 and 12 using prime factorization L.C.M (Method 1) L.C.M = Product of greatest power of each prime factor = 22 × 32 = 4 × 9 = 36 Hence, Time taken by both to meet again = LCM of 18 & 12 = 36 minutes L.C.M (Method 1) L.C.M = 2 × 2 × 3 × 3 = 36 Hence, Time taken by both to meet again = LCM of 18 & 12 = 36 minutes

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### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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