document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=488911>Question 488911</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 men and 5 women can together complete the work in 4 days while 3 mens and 6 women can finish it in 3 days .find the time taken by one man and women each to complete the work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333480 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=333480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 men and 5 women can together complete the work in 4 days while 3 mens and 6 women can finish it in 3 days .find the time taken by one man and women each to complete the work.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Let a man's rate be \"m\"; Let a women's rate be \"w\":<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "2m + 5w = 1/4<BR>\n" );
document.write( "3m + 6w = 1/3<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Modify:<BR>\n" );
document.write( "8m + 20w = 1<BR>\n" );
document.write( "9m + 18w = 1<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Modify:<BR>\n" );
document.write( "72m + 180w = 9<BR>\n" );
document.write( "72m + 144w = 8<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Subtract and solve for \"w\":<BR>\n" );
document.write( "36w = 1<BR>\n" );
document.write( "w = 1/36<BR>\n" );
document.write( "Note: Since a woman's rate is 1/36 job/day, <BR>\n" );
document.write( "a woman's time to do the job is 36 days/job.<BR>\n" );
document.write( "+++++++++++++++++++++++++++++++++<BR>\n" );
document.write( "Solve for \"m\":<BR>\n" );
document.write( "9m + 18w = 1<BR>\n" );
document.write( "9m + 18(1/36) = 1<BR>\n" );
document.write( "9m + (1/2) = 1<BR>\n" );
document.write( "9m = 1/2<BR>\n" );
document.write( "m = 1/18<BR>\n" );
document.write( "Note: Since a man's rate is 1/18 job/day,<BR>\n" );
document.write( "a man's time to do the job is 18 days/job<BR>\n" );
document.write( "=============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );