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Question

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?


  1. After 12 hours
  2. After 4 hours
  3. After 8 hours
  4. After 6 hours


Solution

The correct option is A After 12 hours

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 4 minutes 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 at the starting point after 12 minutes.

So, the LCM is

2×2×3=12

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