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Question 84

To run around a track A, B and C respectively take 27, 36 and 45 seconds. All of them start simultaneously at a point P on the track. The number of rounds made by C when all of them meet next at P is

Solution

LCM of 27,36 and 45 seconds is 540 seconds.

All of them will meet at P for every 540 seconds.

$$\therefore\ $$The number of rounds made by C when all of them meet next at P = $$\frac{540}{45}$$ = 12

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