Question

Hey dear guys .......
Please Answer it.......
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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?
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Answer 1

Answer:

$so \: we \: find \: the \: lcm$

so the LCM of 18,12

$18 = 2 \times 2 \times 3 = 2 \times {3}^{2}$

$12 = 2 \times 2 \times 3 = {2}^{2} \times 3$

$lcm \: is \: of \: (18 \: or12) = {2}^{2} \times {3}^{2}$

$= 4 \times 9 = 36$

so Sonia and Ravi will meet again a starting point after 36 min

Answer 2

Step-by-step explanation:

The answer is lcm of 12 and 18

12 = 2*2*3=2²*3

18=3*3*2 = 3²*2

Therefore lcm =

2²*3³=18

Explanation for why we take lcm

Now in the question it's given that ravi takes 12 mins to complete one round where Sonia takes 18 mims for the same

For Ravi

No of rounds. Time

1. 12

2. 24

3. 36

For Sonia

No of rounds. Time

1. 18

2. 36

Therefore we infer from the above tables that they will meet after 36 mins

Hope it helps you :)