document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=857185>Question 857185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Of three workmen, the second and third can complete a job in 10 days. The first and third can do it in 12 days, while the first and second can do it in 15 days. In how many days can each of them do the job alone? I set up the problem like this:\r<BR>\n" );
document.write( "\n" );
document.write( "10/b+10/c=1<BR>\n" );
document.write( "12/a+12c=1<BR>\n" );
document.write( "15/a+15/b=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516433 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=516433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the rates that the 3 workmen work in<BR>\n" );
document.write( "( jobs completed ) / ( days to complete them ) =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B1%5D+ ALIGN=MIDDLE  ALT=\"+R%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B2%5D+ ALIGN=MIDDLE  ALT=\"+R%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B3%5D+ ALIGN=MIDDLE  ALT=\"+R%5B3%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B2%5D+%2B+R%5B3%5D+=+1%2F10+ ALIGN=MIDDLE  ALT=\"+R%5B2%5D+%2B+R%5B3%5D+=+1%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B1%5D+%2B+R%5B3%5D+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+R%5B1%5D+%2B+R%5B3%5D+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B1%5D+%2B+R%5B2%5D+=+1%2F15+ ALIGN=MIDDLE  ALT=\"+R%5B1%5D+%2B+R%5B2%5D+=+1%2F15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Subtract (3) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B1%5D+%2B+R%5B3%5D+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+R%5B1%5D+%2B+R%5B3%5D+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-R%5B1%5D+-+R%5B2%5D+=+-1%2F15+ ALIGN=MIDDLE  ALT=\"+-R%5B1%5D+-+R%5B2%5D+=+-1%2F15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B3%5D+-+R%5B2%5D+=+1%2F12+-+1%2F15+ ALIGN=MIDDLE  ALT=\"+R%5B3%5D+-+R%5B2%5D+=+1%2F12+-+1%2F15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add this result to (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-R%5B2%5D+%2B+R%5B3%5D+=+1%2F12+-+1%2F15+ ALIGN=MIDDLE  ALT=\"+-R%5B2%5D+%2B+R%5B3%5D+=+1%2F12+-+1%2F15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B2%5D+%2B+R%5B3%5D+=+1%2F10+ ALIGN=MIDDLE  ALT=\"+R%5B2%5D+%2B+R%5B3%5D+=+1%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2AR%5B3%5D+=+1%2F10+%2B+1%2F12+-+1%2F15+ ALIGN=MIDDLE  ALT=\"+2%2AR%5B3%5D+=+1%2F10+%2B+1%2F12+-+1%2F15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B3%5D+=+1%2F20+%2B+1%2F24+%2B+1%2F30+ ALIGN=MIDDLE  ALT=\"+R%5B3%5D+=+1%2F20+%2B+1%2F24+%2B+1%2F30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B3%5D+=+12%2F240+%2B+10%2F240+%2B+8%2F240+ ALIGN=MIDDLE  ALT=\"+R%5B3%5D+=+12%2F240+%2B+10%2F240+%2B+8%2F240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B3%5D+=+30%2F240+ ALIGN=MIDDLE  ALT=\"+R%5B3%5D+=+30%2F240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B3%5D+=+1%2F8+ ALIGN=MIDDLE  ALT=\"+R%5B3%5D+=+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The 3rd, working alone can do<BR>\n" );
document.write( "the job in 8 days<BR>\n" );
document.write( "You can find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B1%5D+ ALIGN=MIDDLE  ALT=\"+R%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5B2%5D+ ALIGN=MIDDLE  ALT=\"+R%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );