document.write( "Question 403555: a train travels 150 km in the same time that a plane covers 400 km. if the speed of the plane is 20 km per hr. less than 3 times the speed of the train, find both speeds. \n" ); document.write( "
Algebra.Com's Answer #285342 by stanbon(75887)\"\" \"About 
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a train travels 150 km in the same time that a plane covers 400 km.
\n" ); document.write( "if the speed of the plane is 20 km per hr. less than 3 times the speed of the train, find both speeds.
\n" ); document.write( "-----------------------
\n" ); document.write( "Train DATA:
\n" ); document.write( "distance = 150 km ; rate = x km/h ; time = 150/x hrs
\n" ); document.write( "-------------
\n" ); document.write( "Plane DATA:
\n" ); document.write( "distance = 400 km ; rate = 3x-20 km/h ; time = 400/(3x-20) hrs
\n" ); document.write( "-----
\n" ); document.write( "Equation:
\n" ); document.write( "time = time
\n" ); document.write( "150/x = 400/(3x-20)
\n" ); document.write( "---
\n" ); document.write( "3/x = 8/(3x-20)
\n" ); document.write( "---
\n" ); document.write( "3(3x-20) = 8x
\n" ); document.write( "9x-60 = 8x
\n" ); document.write( "x = 60 km/h (train rate)
\n" ); document.write( "---
\n" ); document.write( "3x-20 = 160 km/h (plane rate)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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