SOLUTION: the speed of a passenger train is 6 mph faster than the sppeed of a freight train. the passenger train travels 300 miles in the same time it takes the freight train to travel 270 m

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Question 328366: the speed of a passenger train is 6 mph faster than the sppeed of a freight train. the passenger train travels 300 miles in the same time it takes the freight train to travel 270 miles. find the speed of each train.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let freight train speed be x mph
passanger train will be x+6 mph
..
distance traveled by freight train =270 miles
passanger train travels 300 miles.
..
Time taken by freight train = 270/x
time taken by passenger train = 300/x+6
..
the times are same
270/x = 300(x+6)
270(x+6)=300x
270x+1620=300x
300x-270x=1620
30x= 1620
x=1620/30
x=54 mph speed of freight train
passanger train speed = x+6 = 54+6 = 60 mph