document.write( "Question 165320: Two trains started fromt he same station at the same time and traveled in opposite directions. After traveling 10 hours, they were 1,400 miles apart. The rate of the fast train exceeded the rate if the slow train by 5 miles per hour. Find the rate of each train.\r
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Algebra.Com's Answer #121875 by nerdybill(7384) $\"\"$ $\"About$

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Two trains started fromt he same station at the same time and traveled in opposite directions. After traveling 10 hours, they were 1,400 miles apart. The rate of the fast train exceeded the rate if the slow train by 5 miles per hour. Find the rate of each train.
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\n" ); document.write( "Let x = speed of slow train
\n" ); document.write( "then
\n" ); document.write( "x+5 = speed of fast train
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\n" ); document.write( "Using the \"distance formula\":
\n" ); document.write( "d = rt
\n" ); document.write( "where
\n" ); document.write( "d is distance
\n" ); document.write( "r is speed or rate
\n" ); document.write( "t is time
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\n" ); document.write( "10x + 10(x+5) = 1400
\n" ); document.write( "10x + 10x + 50 = 1400
\n" ); document.write( "20x + 50 = 1400
\n" ); document.write( "20x = 1350
\n" ); document.write( "x = 67.5 mph (slow train)
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\n" ); document.write( "Fast train:
\n" ); document.write( "x+5 = 67.5+5 = 72.5 mph \n" ); document.write( "

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