document.write( "Question 394140: john and charles are linemen. John can string 10 miles of line in 3 days, while together they can string it in 1 day. how long would it take charles alone to string the same line?
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Algebra.Com's Answer #279753 by ptaylor(2198) You can put this solution on YOUR website! Let x=amount of time it takes Charles alone to string the same line \n" ); document.write( "Then Charles works at the rate of 1/x of the line per day \n" ); document.write( "John can string 1/3 of the line per day \n" ); document.write( "Together John and Charles can string 1/x + 1/3 of the line per day \n" ); document.write( "But we are told that together they can do the job in 1 day, so: \n" ); document.write( "1/x + 1/3 =1 multiply each term by 3x \n" ); document.write( "3+x=3x \n" ); document.write( "2x=3 \n" ); document.write( "x=1.5 days \n" ); document.write( "CK\r \n" ); document.write( "\n" ); document.write( "1/(3/2) +1/3=1 \n" ); document.write( "2/3+1/3=1 \n" ); document.write( "1=1\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |