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In a school race, three candidates participated Rahul, Prashant, and Satendra. The racing path is circular. Rahul completed a single round in 24 seconds, Prashant in 36 seconds and Satendra in 30 seconds. If they keep running on the track, them after how much time they will meet again at the starting point?

In a school race, three candidates participated Rahul, Prashant, and Satendra. The racing path is circular. Rahul completed a single round in 24 seconds, Prashant in 36 seconds and Satendra in 30 seconds. If they keep running on the track, them after how much time they will meet again at the starting point? Correct Answer 360 seconds

Given:

Time taken by Rahul to complete one round = 24 seconds

Time taken by Prashant to complete one round = 36 seconds

Time taken by Satendra to complete one round = 30 seconds

Concept:

They will meet at the starting point simultaneously if only they are taking same time in reaching the same point.

Hence, we can find out LCM of all these numbers to know exactly when they are gonna reach that point again.

Calculation:

24 = 2 × 2 × 2 × 3

36 = 2 × 2 × 3 × 3

30 = 2 × 3 × 5

⇒ LCM = 2 × 2 × 2 × 3 × 3 × 5 = 360 seconds

∴ They will meet at the starting point again after 360 seconds.

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