document.write( "Question 165956: two trains started from the same place at the same time and traveled in opposite directions at rates which differed by 20 mph. in 5 hours, they were 500 miles apart. find the rate of each train. \n" ); document.write( "

Algebra.Com's Answer #122306 by oscargut(2103) $\"\"$ $\"About$

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Let x rate of train 1
\n" ); document.write( "Let y rate of train 2\r
\n" ); document.write( "\n" ); document.write( "then x-y=20\r
\n" ); document.write( "\n" ); document.write( "distance = 5x+5y=500
\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=100\"$
\n" ); document.write( " $\"x-y=20\"$ \r
\n" ); document.write( "\n" ); document.write( "adding equations we have:\r
\n" ); document.write( "\n" ); document.write( "2x=120 x=60 and y=x-20=40\r
\n" ); document.write( "\n" ); document.write( "so rate of the 1st train is 60mph
\n" ); document.write( " rate of the 2nd train is 40mph\r
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