Two cars start from points 420 miles apart and travel toward each other. They meet after 3.5 hours. Find the average speed of each car if one travels 30mph slower than the other.

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x = speed of slower car x + 30 = speed of faster car rate x time = distance x(3.5) = (x + 30)3.5 = 420 3.5x + 3.5x + 105 = 420 7x + 105 = 420 7x = 420 - 105 = 315 x = 45 mph (speed of slower car) x + 30 = 45 + 30 = 75 (speed of faster car)