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

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

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 163720: A freight train and an express train leave towns 390km apart, traveling toward one another. The freight train travels 30km per hr slower than the express train. They pass one another 3hr later. What are their speeds?
Answer by checkley77(9402) About Me  (Show Source):
You can put this solution on YOUR website!
390=3x+3(x+30)
390=3x+3x+90
6x=390-90
6x=300
x=300/6
x=50 kmh. is the speed of the freight train.
50+30=80 kmh. for the speed of the express train.
Proof:
390=3*50+3*80
390=150+240
390=390