Three runners A, B, and C who are running around a circular track can complete one lap in 2, 4, and 6 minutes, respectively. After how long will they meet at the starting point next if they start together?

15 minutes

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12 minutes

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8 minutes

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7 minutes

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Solution

The correct option is B 12 minutes
A needs 2 minutes to complete one lap.
B needs 4 minutes to complete one lap.
C needs 6 minutes to complete one lap.

To calculate the time when these runners will meet again at the starting point, we have to calculate the LCM of the timings given.

Let's calculate the LCM of 2, 4, and 6.
LCM $= 2 \times 1 \times 2 \times 3 = 12$

Therefore, A, B, and C will meet after 12 minutes at the starting point.

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