document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=782705>Question 782705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two men can paint a fence in X hours and (X + 1) hours respectively. Find the time it will take the two men to paint the fence together. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476491 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=476491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two men can paint a fence in X hours and (X + 1) hours respectively. Find the time it will take the two men to paint the fence together.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "1st man rate:: 1/x job/hr<BR>\n" );
document.write( "2nd man rate:: 1/(x+1) job/hr<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Together rate: 1/k 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+1) = 1/k<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "k(x+1) + k(x) = x(x+1)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "k[x+1+x] = x^2+x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "k = (x^2+x)/(2x+1) hrs (time to do the job together)<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );