document.write( "Question 115368This question is from textbook
\n" );
document.write( ": Help please ! \r
\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. \n" );
document.write( "
Algebra.Com's Answer #83973 by edjones(8007)![]() ![]() You can put this solution on YOUR website! 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... \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |