SOLUTION: A train travels 150 km in the same time that a plane covers 375 km. If the speed of the plane is 40km per hr less than 3 times the speed of the train, find both speeds.

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Question 422427: A train travels 150 km in the same time that a plane covers 375 km. If the speed of the plane is 40km per hr less than 3 times the speed of the train, find both speeds.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A train travels 150 km in the same time that a plane covers 375 km. If the speed of the plane is 40km per hr less than 3 times the speed of the train, find both speeds.
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Train DATA:
distance = 150 km ; rate = x km/h ; time = 150/x hrs
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Plane DATA:
distance = 375 km ; rate = 3x-40 km/h ; time = 375/(3x-40) hrs
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Equation:
time = time
150/x = 375/(3x-40)
150(3x-40) = 375x
450x - 6000 = 375x
75x = 6000
x = 80 km/h (Train rate)
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3x-40 = 200 km/h (Plane rate)
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Cheers,
Stan H.
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