SOLUTION: An express train travels 600 miles in the same amount of time it takes a freight train to travel 360 miles. The rate of the express train is 20 miles an hour faster than that of th

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Question 167225: An express train travels 600 miles in the same amount of time it takes a freight train to travel 360 miles. The rate of the express train is 20 miles an hour faster than that of the freight train. Find the rate of each train.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
d=r*t
d=r*t in terms of the express train is 600=(r+20)t where r is the rate of freight train. remember time is equal in both cases as stated in the problem.
d=r*t in terms of the freight train is 360=rt
600=rt%2B20t
360=rt............subtract the 2nd equation from the 1st and you get
240=20t---->t=12 which is the same for both trains
rate of the freight is 360/12highlight%28freight=30mph%29
rate of the express is 30+20highlight%28express+=50mph%29