SOLUTION: the speed of a passenger train is 10 mph faster than the speed of a freight train. the passenger train travels 340 miles in the same time it takes the freight train to travel 290 m

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Question 338746: the speed of a passenger train is 10 mph faster than the speed of a freight train. the passenger train travels 340 miles in the same time it takes the freight train to travel 290 miles. Find the speed of each train
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
speed of freight train = x mph
speed of passenger train = x+10 mph.
..
distance traveled by freight train = 290
distance passenger train = 340 miles
..
time taken freight train = 290/x
time taken passenger train = 340/x+10
...
Both times are same
..
290%2Fx+=+340%2F%28x%2B10%29
290%28x%2B10%29=+340x
290x+2900 = 340x
add -290x
290x-290x+2900=340x-290x
50x=2900
divide by 50
x=2900/50
x= 58 mph speed of freight train
speed of passenger train = x+10 = 58+10 = 68 mph