SOLUTION: A train travels 160km in the same time that a plane covers 448km. If the speed of the plane is 10km per hr less than3 times the speed of the train, find both speeds.

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Question 367191: A train travels 160km in the same time that a plane covers 448km. If the speed of the plane is 10km per hr less than3 times the speed of the train, find both speeds.
Answer by stanbon(57967) About Me  (Show Source):
You can put this solution on YOUR website!
A train travels 160km in the same time that a plane covers 448km. If the speed of the plane is 10km per hr less than3 times the speed of the train, find both speeds.
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Train DATA:
distance = 160 km ; rate = x km/h ; time = 160/x hrs
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Plane DATA:
distance = 448 km ; rate = 3x-10 km/h; time = 448/(3x-10) hrs
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Equation:
time = time
160/x = 448/(3x-10)
160(3x-10) = 448x
480x - 1600 = 448x
32x = 1600
x = 50 km/h (train rate)
3x-10 = 140 km/h (plane rate)
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Cheers,
Stan H.