Question

in the red line and the blue line trains just arrived at the station when will the next arrive at the station at the same time. the red line arrives every eight minutes the Blue Line arrives every 10 minutes

Answer 1

It will be 5 stops for the red one and 4 stops for the blue line before they both arrive at the same time.

Answer 2

40 minutes

Explanation:

In the red line and the blue line trains just arrived at the station.

The red line arrives every eight minutes.

The Blue Line arrives every 10 minutes.

Next they will arrive at the station at the same time, LCM of 8 minutes and 10 minutes.

Because both train will come at same multiple of 8 and 10.

Factor of 8 : 2 × 2 × 2

Factor of 10 : 2 × 5

LCM : 2 × 2 × 2 × 5 = 40

Hence, After 40 minutes both train will arrive at station at same time.