document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1067383>Question 1067383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two workers and B together could finish a work in 8 days. They worked together for 6 days and A left the work. The remaining work was completed by B alone in 6 days. How many days would each take to complete the work individually ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #682601 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=682601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What we have to find is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of days that it would take worker A to complete the job by himself (or herself),<BR>\n" );
document.write( "and<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;\" >= number of days needed for B to complete the job working alone.<BR>\n" );
document.write( "In one day of work, the fraction of the job that<BR>\n" );
document.write( "A would complete is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa ALIGN=MIDDLE  ALT=\"1%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the fraction of the job B would complete<BR>\n" );
document.write( "is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb ALIGN=MIDDLE  ALT=\"1%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Working together, they would complete<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa%2B1%2Fb ALIGN=MIDDLE  ALT=\"1%2Fa%2B1%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job each day,<BR>\n" );
document.write( "and that would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job.<BR>\n" );
document.write( "(You could also say that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A%281%2Fa%2B1%2Fb%29=1 ALIGN=MIDDLE  ALT=\"8%2A%281%2Fa%2B1%2Fb%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ),<BR>\n" );
document.write( "but either way, you end up with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa%2B1%2Fb=1%2F8 ALIGN=MIDDLE  ALT=\"1%2Fa%2B1%2Fb=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=6%2A%281%2F8%29=6%2F8=3%2F4 ALIGN=MIDDLE  ALT=\"6%2A%281%2F8%29=6%2F8=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the fraction of the job<BR>\n" );
document.write( "that A and B complete, working together,<BR>\n" );
document.write( "during the first 6 days.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A%281%2Fb%29 ALIGN=MIDDLE  ALT=\"6%2A%281%2Fb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the fraction of the whole job<BR>\n" );
document.write( "that B does all alone, during the next 6 days.<BR>\n" );
document.write( "After that, the fraction of the job that has been completed is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=3%2F4%2B6%281%2Fb%29 ALIGN=MIDDLE  ALT=\"1=3%2F4%2B6%281%2Fb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=3%2F4%2B6%2Fb ALIGN=MIDDLE  ALT=\"1=3%2F4%2B6%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "We solve that to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "Multiplying both sides of the equal sign times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4b ALIGN=MIDDLE  ALT=\"4b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we get the equivalent equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4b=3b%2B24 ALIGN=MIDDLE  ALT=\"4b=3b%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4b-3b=24 ALIGN=MIDDLE  ALT=\"4b-3b=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=24%29 ALIGN=MIDDLE  ALT=\"highlight%28b=24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Now, substituting the value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   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%2B1%2Fb=1%2F8 ALIGN=MIDDLE  ALT=\"1%2Fa%2B1%2Fb=1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa%2B1%2F24=1%2F8 ALIGN=MIDDLE  ALT=\"1%2Fa%2B1%2F24=1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "which we solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "First, we multiply both sides of the equal sign<BR>\n" );
document.write( "times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24a ALIGN=MIDDLE  ALT=\"24a\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the equivalent equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Ba=24a%2F8 ALIGN=MIDDLE  ALT=\"24%2Ba=24a%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Ba=3a ALIGN=MIDDLE  ALT=\"24%2Ba=3a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24=3a-a ALIGN=MIDDLE  ALT=\"24=3a-a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24=2a ALIGN=MIDDLE  ALT=\"24=2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=24%2F2 ALIGN=MIDDLE  ALT=\"a=24%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=12%29 ALIGN=MIDDLE  ALT=\"highlight%28a=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );