Question 84

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

Solution

LCM of 27, 36, 45 = 540

A, B, C will again meet at P after every 540 seconds.

$$\therefore\ $$Number of rounds made my C in 540 seconds = $$\frac{540}{45}$$ = 12

Hence, the correct answer is Option A

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