document.write( "Question 1152267: A passenger train leaves a train depot 2 h after a freight train leaves the same depot. The freight train is traveling 20 mph slower than the passenger train. Find the rate of each train if the passenger train overtakes the freight train in 3 h. \n" ); document.write( "

Algebra.Com's Answer #774267 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The passenger train covers in 3 hours the same distance that the freight train covers in 5 hours. The ratio of times for the same distance is 3:5, so the ratio of their speeds is 5:3.

\n" ); document.write( "If x is the speed of the freight train, then the speed of the passenger train is x+20. Since the ratio of the speeds is 5:3,

\n" ); document.write( " $\"%28x%2B20%29%2Fx+=+5%2F3\"$
\n" ); document.write( " $\"5x+=+3x%2B60\"$
\n" ); document.write( " $\"2x+=+60\"$
\n" ); document.write( " $\"x+=+30\"$

\n" ); document.write( "The speed of the freight train is x=30mph; the speed of the passenger train is x+20=50mph.

\n" ); document.write( " \n" ); document.write( "

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