document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=774601>Question 774601</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Sixteen men complete a work in 24 days while 48 children can do it in 16 days. Twelve men startedthe work, after 14 days 12 children joined them. In how Many days will all of them together completethe remaining work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #472343 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=472343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sixteen men complete a work in 24 days<BR>\n" );
document.write( "4 men will take 4 times as long, or 96 days<BR>\n" );
document.write( "12 men will take 1/3 of this time, or 32 days<BR>\n" );
document.write( "In 14 days, the 12 men will complete <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14%2F32+=+7%2F16+ ALIGN=MIDDLE  ALT=\"+14%2F32+=+7%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "There is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+7%2F16+=+9%2F16+ ALIGN=MIDDLE  ALT=\"+1+-+7%2F16+=+9%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the  job<BR>\n" );
document.write( "left to do<BR>\n" );
document.write( "The children join them. Add their rates of <BR>\n" );
document.write( "working to find time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in days to do<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2F16+ ALIGN=MIDDLE  ALT=\"+9%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "48 children can do it in 16 days<BR>\n" );
document.write( "12 children will take 4 times as long, or 64 days<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "12 men take 32 days to complete job<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "children's rate: <BR>\n" );
document.write( "( 1 job ) / ( 64 days )<BR>\n" );
document.write( "men's rate:<BR>\n" );
document.write( "( 1 job ) / ( 32 days )<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F64+%2B+1%2F32+=+%28+9%2F16%29+%2F+t+ ALIGN=MIDDLE  ALT=\"+1%2F64+%2B+1%2F32+=+%28+9%2F16%29+%2F+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sids by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+64+ ALIGN=MIDDLE  ALT=\"+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2B+2=+%28+4%2A9%29+%2F+t+ ALIGN=MIDDLE  ALT=\"+1+%2B+2=+%28+4%2A9%29+%2F+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+=+36%2Ft+ ALIGN=MIDDLE  ALT=\"+3+=+36%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+12+ ALIGN=MIDDLE  ALT=\"+t+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Working together,  will complete the remaining work in 12 more days<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "The 12 men worked a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14+%2B+12+=+26+ ALIGN=MIDDLE  ALT=\"+14+%2B+12+=+26+\"   DISABLED_style= \"max-width:90%; height:auto;\" > days<BR>\n" );
document.write( "They finish <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+26%2F32+=+13%2F16+ ALIGN=MIDDLE  ALT=\"+26%2F32+=+13%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job in this time<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "The 12 children worked for 12 days<BR>\n" );
document.write( "they finish <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%2F64+=+3%2F16+ ALIGN=MIDDLE  ALT=\"+12%2F64+=+3%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13%2F16+%2B+3%2F16+=+1+ ALIGN=MIDDLE  ALT=\"+13%2F16+%2B+3%2F16+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is 1 job\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );