SOLUTION: The speed of a freight train is 14 km/h slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 40
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Question 698981: The speed of a freight train is 14 km/h slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 400 km. Find the speed of each train.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
speed of a freight train is 14 km/h slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 400 km. Find the speed of each train.
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Freight train DATA:
rate = x-14 kmh; distance = 330 km ;time = d/r = 330/(x-14) hrs
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Passenger Train DATA:
rate = x km/h ; distance 400 km ; time = d/r = 400/x hrs
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Equation:
time = time
330/(x-14) = 400/x
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330x = 400x - 14*400
70x = 14*400
x = 80 km/h (speed of the passenger train)
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x-14 = 66 km/h (speed of the freight train)
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Cheers,
Stan H.
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