Two race cars are speeding around the racetrack at different speeds. One goes around the track in 2 minutes; the other goes around the track in 11/2 minutes. How often does the faster car pass the slower car?
Accepted Solution
A:
one car takes 2 minutes for once around so in 1 minute it does a 1/2 around . second car takes 1 1/2 minutes for once around ( 1 1/2 = 3/2) so in 1 minute it does 2/3 round every minute the second car gains 2/3 -1/2 of the round
2/3 = 4/6, 1/2 = 3/64/6 - 3/6 = 1/6 of the track per minute so every 6 minutes the faster car overtakes the slower car.