document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824307>Question 824307</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Together, John and mark can finish painting a house in 10 hours. Alone, John takes 4 hours longer than Mark to finish painting the same house. How long does Mark take to finish painting the house by himself? Give your answer correct to 2 decimal place. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496289 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=496289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Together, John and mark can finish painting a house in 10 hours. <BR>\n" );
document.write( "Alone, John takes 4 hours longer than Mark to finish painting the same house. How long does Mark take to finish painting the house by himself?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Mark:: time = x hrs/job ; rate = 1/x job/hr<BR>\n" );
document.write( "John:: time = x+4 hrs/job ; rate = 1/(x+4) job/hr<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Together:: time = 10 hrs/job ; rate = 1/10 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+4) = 1/10<BR>\n" );
document.write( "------<BR>\n" );
document.write( "10(x+4) + 10x = x(x+4)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "20x + 40 = x^2 + 4x<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x^2 - 16x - 40 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "x = [16 +- sqrt(256-4*-40)]/2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "x = [16 +- sqrt(96)]/2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "x = [16 +- 4sqrt(6)]/2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = [8 +- 2sqrt(6)]<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Comment: Strange answer for this type of problem.<BR>\n" );
document.write( "Did you post it correctly?<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );