document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197922>Question 197922</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 the job 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 #148407 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=148407\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will say the following:<BR>\n" );
document.write( "A's rate of working is (1 job)/(a days)<BR>\n" );
document.write( "B's rate of working is (1 job)/{b days)<BR>\n" );
document.write( "C's rate of working is (1 job)/(c days)<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "I can add their rates of working to get a<BR>\n" );
document.write( "rate at which they work together<BR>\n" );
document.write( "(1) <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( "(2) <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( "(3) <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( "-------------------------<BR>\n" );
document.write( "From (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb+=+1%2F9+-+1%2Fc ALIGN=MIDDLE  ALT=\"1%2Fb+=+1%2F9+-+1%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From (3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa+=+1%2F8+-+1%2Fc ALIGN=MIDDLE  ALT=\"1%2Fa+=+1%2F8+-+1%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute these into (1)<BR>\n" );
document.write( "(1) <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%2F8+-+1%2Fc+%2B+1%2F9+-+1%2Fc+%2B+1%2Fc+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2F8+-+1%2Fc+%2B+1%2F9+-+1%2Fc+%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%2F8+%2B+1%2F9+-+1%2Fc+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2F8+%2B+1%2F9+-+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%2Fc+=+1%2F8+%2B+1%2F9+-+1%2F6 ALIGN=MIDDLE  ALT=\"1%2Fc+=+1%2F8+%2B+1%2F9+-+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72c ALIGN=MIDDLE  ALT=\"72c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72+=+9c+%2B+8c+-+12c ALIGN=MIDDLE  ALT=\"72+=+9c+%2B+8c+-+12c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5c+=+72 ALIGN=MIDDLE  ALT=\"5c+=+72\"   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;\" ><BR>\n" );
document.write( "From (2)<BR>\n" );
document.write( "(2) <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+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=72+%2B+5b+=+8b ALIGN=MIDDLE  ALT=\"72+%2B+5b+=+8b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3b+=+72 ALIGN=MIDDLE  ALT=\"3b+=+72\"   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;\" ><BR>\n" );
document.write( "From (3)<BR>\n" );
document.write( "(3) <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%2Fa+%2B+5%2F72+=+1%2F8 ALIGN=MIDDLE  ALT=\"1%2Fa+%2B+5%2F72+=+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=72+%2B+5a+=+9a ALIGN=MIDDLE  ALT=\"72+%2B+5a+=+9a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a+=+72 ALIGN=MIDDLE  ALT=\"4a+=+72\"   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;\" ><BR>\n" );
document.write( "A can do the job in 18 days<BR>\n" );
document.write( "B can do the job in 24 days<BR>\n" );
document.write( "C can do the job in 14.4 days<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <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%2F14.4+=+1%2F6 ALIGN=MIDDLE  ALT=\"1%2F18+%2B+1%2F24+%2B+1%2F14.4+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72 ALIGN=MIDDLE  ALT=\"72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2B+3+%2B+5+=+12 ALIGN=MIDDLE  ALT=\"4+%2B+3+%2B+5+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+=+12 ALIGN=MIDDLE  ALT=\"12+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "(2) <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%2F24+%2B+1%2F14.4+=+1%2F9 ALIGN=MIDDLE  ALT=\"1%2F24+%2B+1%2F14.4+=+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72 ALIGN=MIDDLE  ALT=\"72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2B+5+=+8 ALIGN=MIDDLE  ALT=\"3+%2B+5+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+8 ALIGN=MIDDLE  ALT=\"8+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "(3) <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%2F14.4+=+1%2F8 ALIGN=MIDDLE  ALT=\"1%2F18+%2B+1%2F14.4+=+1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72 ALIGN=MIDDLE  ALT=\"72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2B+5+=+9 ALIGN=MIDDLE  ALT=\"4+%2B+5+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+9 ALIGN=MIDDLE  ALT=\"9+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );