document.write( "Question 927387: If a passenger train travels two times as fast as a freight train, and freight train takes 3 hours longer to travel 210 miles, what is the speed of each train? \n" ); document.write( "

Algebra.Com's Answer #562907 by TimothyLamb(4379) $\"\"$ $\"About$

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x = speed of passenger train
\n" ); document.write( "y = speed of freight train
\n" ); document.write( "x = 2y
\n" ); document.write( "---
\n" ); document.write( "s = d/t
\n" ); document.write( "t = d/s
\n" ); document.write( "---
\n" ); document.write( "passenger train:
\n" ); document.write( "t = 210/x
\n" ); document.write( "t = 210/2y
\n" ); document.write( "---
\n" ); document.write( "freight train:
\n" ); document.write( "t + 3 = 210/y
\n" ); document.write( "t = 210/y - 3
\n" ); document.write( "---
\n" ); document.write( "210/2y = 210/y - 3
\n" ); document.write( "105/y = 210/y - 3
\n" ); document.write( "210/y - 105/y = 3
\n" ); document.write( "105/y = 3
\n" ); document.write( "y = 105/3
\n" ); document.write( "y = 35
\n" ); document.write( "x = 70
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "x = speed of passenger train = 70 mph
\n" ); document.write( "y = speed of freight train = 35 mph
\n" ); document.write( "---
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