SOLUTION: A train travels 180 miles in the same time that a car travels 120 miles. The speed of the train is 20 miles per hour faster than the speed of the car. Find the speed of the train a

Algebra ->  Equations -> SOLUTION: A train travels 180 miles in the same time that a car travels 120 miles. The speed of the train is 20 miles per hour faster than the speed of the car. Find the speed of the train a      Log On


   

Question 159717: A train travels 180 miles in the same time that a car travels 120 miles. The speed of the train is 20 miles per hour faster than the speed of the car. Find the speed of the train and the speed of the car. Please solve step by step.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT OT T=D/R
T=180/(R+20)
T=120/R
180/(R+20)=120/R
180R=120(R+20)
180R=120R+2400
180R-120R=2400
60R=2400
R=2400/60
R=40 MPH IS THE RATE OF THE CAR.
40=20=60 FOR THE TRAIN.
PROOF:
180/60=120/40
3=3