Let x be the speed (the rate) of the slower car, in miles per hour. Then the speed of the faster car is (x+12) mph. The equation is 6x + 6*(x+12) = 648 ====> 6x + 6x + 72 = 648 ====> 12x = 648 - 72 = 576 ====> x == 48. Answer. The speed of the slower car was 48 mph. The speed of the faster car was 48 + 12 = 60 mph.