document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959735>Question 959735</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sarah takes 3 hours longer to paint a floor than it takes John. When they work together, it takes them 2 hours. How long would each take to do the job alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586567 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=586567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sarah takes 3 hours longer to paint a floor than it takes John. <BR>\n" );
document.write( "When they work together, it takes them 2 hours. <BR>\n" );
document.write( "How long would each take to do the job alone?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Sarah DATA:: time = x+3 hrs/job ; rate = 1/(x+3) job/hr<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "John DATA:: time = x hrs/job ; rate = 1/x job/hr<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Together DATA:: time = 2 hr/job ; rate = 1/2 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+3) + 1/x = 1/2<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "2x + 2(x+3) = x(x+3)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "4x+6 = x^2 + 3x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x^2 - x - 6 = 0<BR>\n" );
document.write( "Factor::<BR>\n" );
document.write( "(x-3)(x+2) = 0<BR>\n" );
document.write( "x = 3 hrs (time for John to do the job alone)<BR>\n" );
document.write( "x+3 = 6 hrs (time for Sarah to do the job alone)<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );