document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350831>Question 350831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250784 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=250784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Fact: rate + rate = together rate<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "Let \"m\" be the men's rate and \"w\" be the woman's rate.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Four men and three women can do a job in 6 days. <BR>\n" );
document.write( "---<BR>\n" );
document.write( "4m+3w = 1/6<BR>\n" );
document.write( "-------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "When five men and six women work on the same job, the work gets completed in 4 days.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "5m+6w= 1/4<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Multiply thru 1st equation by 2 to get:<BR>\n" );
document.write( "8m + 6w = 1/3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Subtract 2nd from latter to get:<BR>\n" );
document.write( "3m = (1/3)-(1/4)<BR>\n" );
document.write( "3m = 1/12<BR>\n" );
document.write( "m = 1/36<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"w\" using 4m+3w = 1/6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "4(1/36) + 3w = 6/36<BR>\n" );
document.write( "3w = 2/36<BR>\n" );
document.write( "w = 1/54<BR>\n" );
document.write( "=================\r<BR>\n" );
document.write( "\n" );
document.write( "How long will a woman take to do the job, if she works alone on it?<BR>\n" );
document.write( "Answer: 54 days<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" );