SOLUTION: two cars leave Denver at the same time and travel opposite directions. one car travels 10 mi/h faster than the other car. the cars are 500mi apart in 5h. how fast is each car trave

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: two cars leave Denver at the same time and travel opposite directions. one car travels 10 mi/h faster than the other car. the cars are 500mi apart in 5h. how fast is each car trave      Log On

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Question 461805: two cars leave Denver at the same time and travel opposite directions. one car travels 10 mi/h faster than the other car. the cars are 500mi apart in 5h. how fast is each car traveling?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If they are 500 miles apart after 5 hours, then their speed relative to each other must have been 100 miles per hour. Since they are traveling in opposite directions, their individual speeds must sum to their relative speed.

So if represents the slower car's speed then must represent the faster car's speed, and:



Solve for and then calculate

John

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