SOLUTION: A freight train travels 90 miles in the same time that a passenger train travels 150 miles. If the passenger train goes 30 miles per hour faster than the freight train, what is the

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Question 270334: A freight train travels 90 miles in the same time that a passenger train travels 150 miles. If the passenger train goes 30 miles per hour faster than the freight train, what is the rate of each of them?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
T=D/R
T=90/R FOR THE FREIGHT TRAIN.
T=150/(R+30) FOR THE PASSENGER TRAIN.
90/R=150/(R+30)
150R=90(R+30)
150R=90R+2700
150R-90R=2700
60R=2700
R=2700/60
R=45 MPH. FOR THE FREIGHT TRAIN.
PROOF:
90/45=150/(45+30)
2=150/75
2=2