document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767587>Question 767587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 12 men can build a wall in 4 days.how many days will 3 men take to build the same wall?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467716 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=467716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How about anything that fits this:\r<BR>\n" );
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document.write( "m men can build a wall in d days.  how many days will n men take to build the same wall?\r<BR>\n" );
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document.write( "Variables are:<BR>\n" );
document.write( "m = number of men for a defined job<BR>\n" );
document.write( "d = number of days for the defined job<BR>\n" );
document.write( "n = number of men different than m, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%3C%3Em ALIGN=MIDDLE  ALT=\"n%3C%3Em\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "CALCULATE THE WORK RATE FOR ONE MAN.<BR>\n" );
document.write( "The defined group of men need d number of days, so if only 1 man is available, he needs m times as many days to do the job.  This means the one-man rate is 1 man needs <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Am ALIGN=MIDDLE  ALT=\"d%2Am\"   DISABLED_style= \"max-width:90%; height:auto;\" > days.  <BR>\n" );
document.write( "His rate can be expressed as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28d%2Am%29 ALIGN=MIDDLE  ALT=\"1%2F%28d%2Am%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per day.\r<BR>\n" );
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document.write( "RATE FOR A DIFFERENT NUMBER OF MEN.<BR>\n" );
document.write( "Now, you want the rate for some other number of men; the quantity, n men.  What is the rate now if n men are to do the job?  The rates are additive, so each man in the group contributes at 1/(d*m) jobs per day; and since we now have n men to do this job, the rate is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n%281%2F%28d%2Am%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28n%281%2F%28d%2Am%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per day.\r<BR>\n" );
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document.write( "In your actual question you can find the given variables' values and just substitute them into the expression:<BR>\n" );
document.write( "m=12; d=4; n=3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%284%2A12%29=1%2F%284%2A4%29=highlight%281%2F16%29 ALIGN=MIDDLE  ALT=\"3%2F%284%2A12%29=1%2F%284%2A4%29=highlight%281%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per day<BR>\n" );
document.write( "That means 16 days needed for the 3 men to do the job of building this wall. </SPAN>\n" );
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