document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #294861 by stanbon(75887)\"\" \"About 
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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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\n" ); document.write( "Train DATA:
\n" ); document.write( "distance = 150 km ; rate = x km/h ; time = 150/x hrs
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\n" ); document.write( "Plane DATA:
\n" ); document.write( "distance = 375 km ; rate = 3x-40 km/h ; time = 375/(3x-40) hrs
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\n" ); document.write( "Equation:
\n" ); document.write( "time = time
\n" ); document.write( "150/x = 375/(3x-40)
\n" ); document.write( "150(3x-40) = 375x
\n" ); document.write( "450x - 6000 = 375x
\n" ); document.write( "75x = 6000
\n" ); document.write( "x = 80 km/h (Train rate)
\n" ); document.write( "---
\n" ); document.write( "3x-40 = 200 km/h (Plane rate)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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