SOLUTION: Two cars leave Denver at the same time traveling in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 miles apart in 5 hours. How fast is eac

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Question 347235: Two cars leave Denver at the same time traveling in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 miles apart in 5 hours. How fast is each car traveling?
Found 2 solutions by solver91311, brianna...P:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

First do the problem quickly in your head so that you can have an idea if you are right when you finish the formal solution. If they are 500 miles apart in 5 hours, then they must be going apart at 100 miles per hour. If the rate of the slow car plus the rate of the fast car is 100 mph, then twice the rate of the slower car must be 90 mph, so the rate of the slower car is 45 and the faster is 55.

Let represent the speed of the slower car. Then is the speed of the faster car. Since they are traveling in opposite directions, their speed relative to each other is the sum of their speeds. Distance = rate times time.

Solve for , then solve

John

My calculator said it, I believe it, that settles it

Answer by brianna...P(1) (Show Source):
You can put this solution on YOUR website!
One car Is Going 45mph and the other is going 55.
Take 500 and divide it by 5.
You get 100.Now Take away 10.
You get 90 then you divide it by 2.
You get 45.
That's one of the answers.
Then you add 10 to the 45 and you get 55.
That's both of the answers.