<PRE><B>Question 489169</B>
The speed of a passenger train is 14 mph faster than the speed of a freight train. The passenger train travels 400miles in the same time it takes the freight train to travel 330miles. Find the speed of each train?
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Freight train DATA:
distance = 330 miles ; rate = x mph ; time = 330/x hrs
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Passenger train DATA:
distance = 400 miles ; rate = x+14 mph ; time = 400/(x+14) hrs
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Equation:
time = time
330/x = 400/(x+14)
400x = 330x + 14*330
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70x = 14*330
x = (1/5)(330)
x = 66 mph (freight speed)
x+14 = 80 mph (passenger speed)
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Cheers,
Stan H.
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