Question

Maggie, Kate and Sam's start runing around a circular track togeather and they complete 1 revolution in 2, 4 and 6 hours respectively. When will they all meet again?

• A. After 8 hours
• B. After 12 hours
• C. After 6 hours
• D. After 4 hours

Answer 1

The correct option is B After 12 hours

Given that Maggie takes 2 hours, Kate takes 4 hours and Sam takes 6 hours to complete 1 revolution.

We have to find a common multiple of these numbers to know after what time they meet again.

$\therefore$ LCM of 2, 4 and 6 = 2 × 2 × 3
= 12
Therefore, they will meet after 12 hours.