document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=353840>Question 353840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Leah and Gellie can finish a project in 4 hours if they worked together. If it would take Leah 6 hours more than Gellie to finish the project alone, how long would Leah need to finish the project working alone? (Show your solution using Quadratic Equation) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252930 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=252930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Leah and Gellie can finish a project in 4 hours if they worked together. <BR>\n" );
document.write( "If it would take Leah 6 hours more than Gellie to finish the project alone, how long would Leah need to finish the project working alone?<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "together rate = 1/4 hr/job<BR>\n" );
document.write( "Gellie rate = 1/x hr/job<BR>\n" );
document.write( "Leah rate = 1/(x+6) hr/job<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+6) = 1/4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Multiply thru by 4x(x+6) to get:<BR>\n" );
document.write( "4(x+6) + 4x = x(x+6)<BR>\n" );
document.write( "8x+24 = x^2+6x<BR>\n" );
document.write( "x^2 - 2x -24 = 0<BR>\n" );
document.write( "Quad Formula:<BR>\n" );
document.write( "x = [2 +- sqrt(4-4*-24)]/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [2 +- sqrt(100)]/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 1 + 5 = 6<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Gellie time to do the job: x = 6 hrs<BR>\n" );
document.write( "Leah time to do the job: x+6 = 12 hrs<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" );