document.write( "Question 393883: When Fritz drives to work his trip takes 36 minutes but when he takes the train it takes 20 minutes. Find the distance Fritz travels to work if the train travels an average of 21 miles per hour faster than his driving. \n" ); document.write( "
Algebra.Com's Answer #280385 by lwsshak3(11628)\"\" \"About 
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When Fritz drives to work his trip takes 36 minutes but when he takes the train it takes 20 minutes. Find the distance Fritz travels to work if the train travels an average of 21 miles per hour faster than his driving.\r
\n" ); document.write( "\n" ); document.write( "distance = speed *time of travel\r
\n" ); document.write( "\n" ); document.write( "let x= speed of auto
\n" ); document.write( "x+21 = speed of train
\n" ); document.write( "convert travel time to hours
\n" ); document.write( "36 min =36/60 hours = .6 hours
\n" ); document.write( "20 min =1/3 hours\r
\n" ); document.write( "\n" ); document.write( "distance auto traveled = .6x=(1/3)*(x+21)
\n" ); document.write( ".6x=x/3+7
\n" ); document.write( "1.8x=x+21
\n" ); document.write( ".8x=21
\n" ); document.write( "x=26.25 mi
\n" ); document.write( "distance = .6*26.25=15.75 miles=1/3(26.25+21)\r
\n" ); document.write( "\n" ); document.write( "ans: the distance Fritz travels to work is 15.75 miles
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