Collision Course math problem: Two cars that are traveling toward each...

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...other are 455 miles apart. One Car is? traveling 10 miles per hour faster than the other car. The cars pass after 3.5 hours. How fast is each car traveling?

Does anybody kno how to do this?
 
455miles/3.5 hours= Relative speed between the 2 cars=130mph
130=x+(x+10)=2x+10
x=60
One car traveling 60mph and the other 70mph
Check:
(60miles/hour)*3.5hours=210miles
(70miles/hour)*3.5hours=245miles
210miles+245miles=455miles

x is in miles/hour
 
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