document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184870>Question 1184870</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If nine men take 15 days to assemble 18 machines, how many days will it take 20 men to assemble 60 machines?\r<BR>\n" );
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document.write( "Clue: This problem is a combination of direct and indirect relations. To deal with this problem, ask yourself how the variable M(men) varies with the respected D(days); that I, will more men require more days or will more men require less days to do the job? How about M and C(machines)? Will more men produce more machines or more men produce less machines? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815525 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 135 man days for 18 machines or 7.5 man days per machine.<BR>\n" );
document.write( "Therefore 60 machines need 450 man days with 20 men or 22.5 days.<BR>\n" );
document.write( "9*15/18=20*x/60<BR>\n" );
document.write( "20x*18=60*9*15<BR>\n" );
document.write( "360x=60*9*15<BR>\n" );
document.write( "6x=135<BR>\n" );
document.write( "x=22.5 days<BR>\n" );
document.write( "More men will require fewer days to do the same job, or more men will produce more machines, if time is held constant.  </SPAN>\n" );
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