SOLUTION: A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train traveles 30 km per hr slower than the express train. They pass one an

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train traveles 30 km per hr slower than the express train. They pass one an      Log On


   

Question 763161: A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train traveles 30 km per hr slower than the express train. They pass one another 3 hrs later. what are their speeds?
Answer by lwsshak3(11628) About Me  (Show Source):
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A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train traveles 30 km per hr slower than the express train. They pass one another 3 hrs later. what are their speeds?
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let x=speed of express train
x-30 speed of freight train
distance=speed*travel time
..
3x+3(x-30)=390
3x+3x-90=390
6x=480
x=80
x-30=50
speed of express train=80 km/hr
speed of freight train=50 km/hr