Question

Alek and Ann start walking around a track at the same time and at the same place. It takes Ann 6 minutes to walk around the track, and it takes Alek 8 minutes. After how many minutes will they reach the starting point at the same time

Answer 1

3 3/7 minutes

Explanation:

This calculated using the formula:

1/x + 1/y = 1/n

Where

x = Number of minutes it took Ann to walk = 6 minutes

y = Number of minutes it took Alek to walk = 8 minutes

n = Number of minutes it would take An and Alek to reach the starting point at the same time

1/6 + 1/8 = 1/n

Lowest Common Denominator = 24

4 + 3/24 = 1/n

7/24 = 1/n

Cross Multiply

7n = 24

n = 24/7

n = 3 3/7 minutes

It would take them 3 3/7 minutes to reach the starting point at the same time.