SOLUTION: Two cars leave Denver at the same time and travel in opposite directions. One car travels 10mi/h faster than the other car. The cars are 50mi apart in 5h. How fast is each car trav

Question 399221: Two cars leave Denver at the same time and travel in opposite directions. One car travels 10mi/h faster than the other car. The cars are 50mi apart in 5h. How fast is each car traveling?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two cars leave Denver at the same time and travel in opposite directions. One car travels 10mi/h faster than the other car. The cars are 50mi apart in 5h. How fast is each car traveling?
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Let the speed of the slower car be x mph.
Then the speed of the faster car is x+10 mph.
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The cars are separating at a combined speed of 2x+10 mph.
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Equation:
speed = distance / time
speed = 50 mi/5 hr
speed = 10 mph
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2x+10 = 10
2x = 0
x = 0
x+10 = 10
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One of the cars is not moving.
The other's speed is 10 mph.
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Cheers,
Stan H.
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