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Asked by Keerthiga Last Modified
Answer 
Tasneem
Ravi and Sonia donot take the same amount of time.
Ravi takes lesser time than Sonia for completing 1 round of the circular path.
As they are going in the same direction, they meet again at the same time when Ravi will have completed 1 round of that circular path with respect to Sonia.
i.e When Sonia completes one round then Ravi completes 1.5 rounds.
The minimum time when Sonia and Ravi meet again will be the LCM Of 18 minutes and 12 minutes
Now
18 = 2 x 3 x 3 = 2 x 32
And, 12 = 2 x 2 x 3 = 22 x 3
LCM of 12 and 18 = product of factors raised to highest exponent =
22 x 32 = 36
Therefore, Ravi and Sonia will meet together at the starting point after 36 minutes.
Priyanka Singh
Teaches since 2015 online and offline. Understanding and clarity of subject is my first priority.
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