SOLUTION: A passenger train and a freight train leave cities 400 miles apart and travel toward each other. The passenger train is traveling 20 mph faster that the freight train. Find the spe

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Question 904219: A passenger train and a freight train leave cities 400 miles apart and travel toward each other. The passenger train is traveling 20 mph faster that the freight train. Find the speed of each train if they pass each other after 5 hours.
How can I solve this?

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
400=(x+x+20)
80=2x+20
60=2x
x=30 mph
x+20=50 mph
check
d=r*t+R*t
400=50*t+30*t
400=80*t
t=5 hours
d=R*t
d=30*5
d=150 miles at 30 mph
d=r*t
d=50*5
d=250 miles at 50 mph