SOLUTION: The speed of an Amtrak passenger train is 12 mph faster than the speed of a Central Railway freight train. The passenger train travels 400 miles in the same time it takes the freig

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Question 178340: The speed of an Amtrak passenger train is 12 mph faster than the speed of a Central Railway freight train. The passenger train travels 400 miles in the same time it takes the freight train to travel 320 miles. Find the speed of each train.
Answer by mial_ibanez22(3) About Me  (Show Source):
You can put this solution on YOUR website!
let x=speed of the freight train
12+x=speed of the passenger train
the speed is equal to distance/time
and time is equal to distance/speed..
the time for the passenger train is equal to the time of the freight train....
%2812%2Bx%29%2F400=x%2F320
simplifying,4(12+x)=5x
x=48miles-->speed of the freight train
12+x=60miles-->speed of the passenger train
^^