SOLUTION: The speed of a passenger train 20 mph faster than the speed of a freight train. The passenger train travels 340 miles in the same time it takes the freight train to travel 240 mile

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Question 324276: The speed of a passenger train 20 mph faster than the speed of a freight train. The passenger train travels 340 miles in the same time it takes the freight train to travel 240 miles. Find the speed of each train.
Passenger train? MPH
Freight train? MPH

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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Let Vf be the speed of the freight train.
Let Vp be the speed of the passenger train.
1.Vp=Vf%2B20
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Vp%2AT=340
T=340%2FVp
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Vf%2AT=240
T=240%2FVf
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340%2FVp=240%2FVf
340Vf=240Vp
Vf=%28240%2F340%29Vp=%2812%2F17%29Vp
Substitute into eq. 1,
Vp=%2812%2F17%29Vp%2B20
%2817%2F17-12%2F17%29Vp=20
%285%2F17%29Vp=20
Vp=%2817%2F5%2920
Vp=68mph
Then from eq. 1,
Vf=68-20=48mph