# 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)   (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. --------------- Train DATA: distance = 160 km ; rate = x km/h ; time = 160/x hrs -------------- Plane DATA: distance = 448 km ; rate = 3x-10 km/h; time = 448/(3x-10) hrs -------------- 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) ================== Cheers, Stan H.