Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 mi apart in 5 h. How fast is each car traveling?
1 answer:
The speed of one car is 'S'. The speed of the other car is (S + 10). In 5 hours, the first car travels (5S) miles, and the other car travels 5(S + 10) miles. Since they're going in opposite directions, the distance between them at any time is the sum of the distance that each one has traveled. 500 = (5S) + 5(S + 10) 500 = 5S + 5S + 50 500 = 10S + 50 Subtract 50 from each side: 450 = 10S Divide each side by 10 S = <u>45</u> S + 10 = <u>55</u>
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