document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109378>Question 1109378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Person A takes 6 days less than the time taken by the person B to finish a piece of work.  If both A and B together can finish it in 4 days.  Find the time that B would take to finish this work by himself.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724368 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=724368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Person A takes 6 days less than the time taken by the person B to finish a piece of work. If both A and B together can finish it in 4 days. Find the time that B would take to finish this work by himself. <BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "B DATA:<BR>\n" );
document.write( "time = x day/job ; rate = 1/x job/day<BR>\n" );
document.write( "---<BR>\n" );
document.write( "A DATA:<BR>\n" );
document.write( "time = x-6 days/job ; rate = 1/(x-6) job/day<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Together DATA:<BR>\n" );
document.write( "time = 4 days/job ; rate = 1/4 job/day<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( "4(x-6) + 4x = x(x-6)<BR>\n" );
document.write( "8x-24 = x^2 - 6x<BR>\n" );
document.write( "x^2 - 14x + 24 = 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x = [14 +-sqrt(14^2 - 4*1*24)]/2<BR>\n" );
document.write( "x = 12 days (time for \"A\" to do the job)<BR>\n" );
document.write( "x-6 = 6 days (time for B to do the job alone) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );