SOLUTION: 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 1½ minutes. How often does the faste

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Question 147168: 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 1½ minutes. How often does the faster car pass the slower car?

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
picturing a circular track makes things easier

the slow car goes 360º in 120 sec or 3° per sec

the fast car goes 360° in 90 sec or 4° per sec

every second the cars are traveling, the fast car gains 1°
__ when the fast car has gained 360° (in 360 sec) the cars will pass again

so the cars pass every 360 sec or 6 min