SOLUTION: Two cars leave towns 380 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers per hour more than the other's. If they meet in 2 hours, wh

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Question 399630: Two cars leave towns 380 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers per hour more than the other's. If they meet in 2 hours, what is the rate of the faster car?
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let the first car the rate is x kilometers per hour ,
then the second car rate is (x+20)kilometers per hour
in 2 hours the first car drove 2%2Ax kilometers
in 2 hours the second car drove 2%2A%28x%2B20%29 kilometers
Together they drove 2%2Ax%2B2%2A%28x%2B20%29=380
2%2Ax%2B2%2Ax%2B40=380
4%2Ax=380-40
4%2Ax=340
x=340%2F4
x=85kilometers per hour the rate of the first car
%28x%2B20%29=85%2B20=105 kilometers per hour the rate of the second car
Answer: 105 kilometers per hour the rate of the faster car