SOLUTION: One car travels 20mph faster than another. While one of them travels 240 miles, the other travels 180 miles. Find the speed of both. I do know that we are looking for the ra

Question 224089: One car travels 20mph faster than another. While one of them travels 240 miles, the other travels 180 miles. Find the speed of both.

I do know that we are looking for the rate which is distance divided by time, but I am having problems setting it up.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Time of one car is equal to time of the other car, where time is .

Let x = speed of slower car (which travels the shorter distance!)
x+20 = speed of faster car (which travels the longer distance!)

Remember that means .

Likewise means

Subtract 180x from each side:

mph speed of slower car
mph speed of faster car

Check: The faster car travels 240 miles at 80 mph = 3 hours
The slower car travels 180 miles at 60 mph = 3 hours.

R^2

Dr. Robert J. Rapalje

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