It is Maggie, Kate and Sam's sports day. They all have participated in a race. All of them run around a circular track and they complete 1 revolution in 2, 4 and 6 minutes respectively. When will they all meet at the starting point?

After 8 minutes

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After 12 minutes

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After 6 minutes

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After 4 minutes

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Solution

The correct option is B
After 12 minutes

They all will meet at the starting point after completing their respective revolutions. As we can see that Maggie takes 2 minutes to complete 1 revolution, Kate takes 4minutes and Sam takes 6 minutes. We have to find a common multiple of these numbers to know the time of their meeting at the starting point. If we calculate the LCM (least common multiple) of 2, 4 and 6, the result obtained is 12. Therefore, they will meet the starting point after 12 minutes.

So, the LCM is 2 × 2 × 3 = 12 minutes

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