SOLUTION: Please help me solve this problem. An express train travels 150 km. in the same time that a freight train travels 100 km. If the express train goes 20 km. per hour faster than the

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Question 388881: Please help me solve this problem.
An express train travels 150 km. in the same time that a freight train travels 100 km. If the express train goes 20 km. per hour faster than the freight train, find the rate of each.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
An express train travels 150 km. in the same time that a freight train travels 100 km. If the express train goes 20 km. per hour faster than the freight train, find the rate of each.
...
freight train speed = xkm/h
express train = x+20 km/h
...
freight train d= 100 km
express train d= 150 km
..
time freight = time express
t=d/r
..
100/x= 150/(x+20)
cross multiply
100(x+20)=150x
100x+2000=150x
2000=150x-100x
2000=50x
/50
2000/50 = x
40 = x freight train speed
..
express train speed = x+20 =40+20 =60 km/h