SOLUTION: a train travels 30 mph faster than a caar. if the train covers 120 miles in the same time the car covers 80 miles, what is the speed of each vehicle

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Question 375650: a train travels 30 mph faster than a caar. if the train covers 120 miles in the same time the car covers 80 miles, what is the speed of each vehicle
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
SPEED OF CAR BE X MPH
TRAIN = X+30 MPH..
...
train distance = 120 miles
car distance = 80 miles
..
time+=+distance+%2F+speed
\..
train time = car time
120%2F%28x%2B30%29+=+80+%2Fx
multiply the equation by x*(x+30)
..

...
120x= 80(x+30)
120x=80x+2400
-80x
120x-80x=2400
40x=2400
/40
x= 2400/40
x= 60 mph speed of car
speed of train = x+30 = 60+30 = 90 mph
...
m.ananth@hotmail.ca