In a machine, a large gear completes a revolution every minute while a small gear completes a revolution every 24 seconds. If the gears are currently aligned, how much time will pass before they are aligned again?

To get this answer you need to keep counting 24 seconds until it gets to exactly a minute, no seconds over or under, so 24x5=120 which is 2 minutes so it will be 2 minute. In other words to solve this you need to find a common factor 1 minute equals 60sec so 60x2=120 which is 2 min. So in 2 minutes the gears will be aligned again.