document.write( "Question 115368This question is from textbook
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\n" ); document.write( "\n" ); document.write( "Winston can mow his dads lawn in 1 hour less than it takes his brother willie. If they take 2 hours to mow it when working together, than how long would if take winston working alone.
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Algebra.Com's Answer #83973 by edjones(8007)\"\" \"About 
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Let x=time it takes winston to do the job.
\n" ); document.write( "x+1 timet it takes willie.
\n" ); document.write( "1/x portion of job done by winston in 1 hr.
\n" ); document.write( "1/(x+1) portion of job done by winston in 1 hr.
\n" ); document.write( "1/x+ 1/(x+1) =1/2
\n" ); document.write( "2(x+1)+2x=x(x+1)
\n" ); document.write( "2x+2+2x=x^2+x
\n" ); document.write( "x^2+x=4x+2
\n" ); document.write( "x^2-3x-2=0
\n" ); document.write( "x^2-3x =2
\n" ); document.write( "x^2-3x+2.25=2+2.25 Complete the square.
\n" ); document.write( "(x-1.5)^2=4.25
\n" ); document.write( "x-1.5=+-sqrt(4.25) sqrt of both sides.
\n" ); document.write( "x=1.5+-2.06155...
\n" ); document.write( "x=3.56... hrs it would take Winston working alone.
\n" ); document.write( "Check:
\n" ); document.write( "1/3.56...+ 1/4.56...=1/2...
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