document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126265>Question 126265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A, B and C can finish a job in 6 days. If B and C work together, the job will take 9 days; if A and C work together it will take 8 days. In how many days can each man working alone do the job? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92509 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=92509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time A takes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time B takes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time C takes<BR>\n" );
document.write( "The sum of their rates is the final rate<BR>\n" );
document.write( "1 job/a days + 1 job/b days + 1 job/c days = 1 job/6 days<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa+%2B+1%2Fb+%2B+1%2Fc+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2Fa+%2B+1%2Fb+%2B+1%2Fc+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "also given is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb+%2B+1%2Fc+=+1%2F9 ALIGN=MIDDLE  ALT=\"1%2Fb+%2B+1%2Fc+=+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa+%2B+1%2Fc+=+1%2F8 ALIGN=MIDDLE  ALT=\"1%2Fa+%2B+1%2Fc+=+1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I need to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can directly substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb+%2B+1%2Fc+=+1%2F9 ALIGN=MIDDLE  ALT=\"1%2Fb+%2B+1%2Fc+=+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa+%2B+1%2Fb+%2B+1%2Fc+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2Fa+%2B+1%2Fb+%2B+1%2Fc+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa+%2B+1%2F9+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2Fa+%2B+1%2F9+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa+=+1%2F6+-+1%2F9 ALIGN=MIDDLE  ALT=\"1%2Fa+=+1%2F6+-+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa+=+3%2F18+-+2%2F18 ALIGN=MIDDLE  ALT=\"1%2Fa+=+3%2F18+-+2%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa+=+1%2F18 ALIGN=MIDDLE  ALT=\"1%2Fa+=+1%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+18 ALIGN=MIDDLE  ALT=\"a+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa+%2B+1%2Fc+=+1%2F8 ALIGN=MIDDLE  ALT=\"1%2Fa+%2B+1%2Fc+=+1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F18+%2B+1%2Fc+=+1%2F8 ALIGN=MIDDLE  ALT=\"1%2F18+%2B+1%2Fc+=+1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fc+=+1%2F8+-+1%2F18 ALIGN=MIDDLE  ALT=\"1%2Fc+=+1%2F8+-+1%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fc+=+9%2F72+-+4%2F72 ALIGN=MIDDLE  ALT=\"1%2Fc+=+9%2F72+-+4%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fc+=+5%2F72 ALIGN=MIDDLE  ALT=\"1%2Fc+=+5%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+14.4 ALIGN=MIDDLE  ALT=\"c+=+14.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb+%2B+1%2Fc+=+1%2F9 ALIGN=MIDDLE  ALT=\"1%2Fb+%2B+1%2Fc+=+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb+%2B+1%2F%2872%2F5%29+=+1%2F9 ALIGN=MIDDLE  ALT=\"1%2Fb+%2B+1%2F%2872%2F5%29+=+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb+%2B+5%2F72+=+1%2F9 ALIGN=MIDDLE  ALT=\"1%2Fb+%2B+5%2F72+=+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb+=+1%2F9+-+5%2F72 ALIGN=MIDDLE  ALT=\"1%2Fb+=+1%2F9+-+5%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb+=+8%2F72+-+5%2F72 ALIGN=MIDDLE  ALT=\"1%2Fb+=+8%2F72+-+5%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb+=+3%2F72 ALIGN=MIDDLE  ALT=\"1%2Fb+=+3%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+24 ALIGN=MIDDLE  ALT=\"b+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "A takes 18 days working alone, B takes 24 days working alone<BR>\n" );
document.write( "and C takes 14.4 days working alone<BR>\n" );
document.write( "check answers:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa+%2B+1%2Fb+%2B+1%2Fc+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2Fa+%2B+1%2Fb+%2B+1%2Fc+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F18+%2B+1%2F24+%2B+1%2F%2872%2F5%29+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2F18+%2B+1%2F24+%2B+1%2F%2872%2F5%29+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F72+%2B+3%2F72+%2B+5%2F72+=+12%2F72 ALIGN=MIDDLE  ALT=\"4%2F72+%2B+3%2F72+%2B+5%2F72+=+12%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F72+=+12%2F72 ALIGN=MIDDLE  ALT=\"12%2F72+=+12%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );