document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=921772>Question 921772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Working together, Verna and Sam can paint their living room in 2 hours. Working alone, it would take Sam 3 hours longer than Verna to paint the living room. How long would it take Verna to paint the living room working by herself? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559192 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=559192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Working together, Verna and Sam can paint their living room in 2 hours. Working alone, it would take Sam 3 hours longer than Verna to paint the living room. How long would it take Verna to paint the living room working by herself?<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Together rate:: 1/2 job/hr<BR>\n" );
document.write( "Verna rate:: 1/x job/hr<BR>\n" );
document.write( "Sam rate:: 1/(x+3) job/hr<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x+3) = 1/2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "2(x+3) + 2x = x(x+3)<BR>\n" );
document.write( "4x + 6 = x^2 + 3x<BR>\n" );
document.write( "x^2 - x - 6 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-3)(x+2) = 0<BR>\n" );
document.write( "Positive solution::<BR>\n" );
document.write( "x = 3 (Verna's time to do the job alone)<BR>\n" );
document.write( "x+3 = 6 (Sam's time to do the job alone)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );