Two cars raced at a race track. The faster car traveled 20 mph faster than the slower car. In the time that the slower car traveled 165 miles, the faster car traveled 225 miles. If the speeds of the cars remained constant, how fast did the slower car travel during the race? Distance (mi) Rate (mph) Time (h) Slower Car 165 r 165 over r Faster Car 225 r plus 20 the fraction with numerator 225 and denominator r plus 20
The cars traveled their respective distances in the same amount of time, so set the travel-time expressions equal: 165/r = 225/(r + 20). Cross-multiplying gives 165(r + 20) = 225r, so 3,300 = 60r and r = 55. The slower car traveled at 55 mph, choice A.
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