document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=507802>Question 507802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B working together can do a job in 6 2/3 hours. A became ill after 3 hours of working with B. B finished the job, continuing to work alone, in 8 1/4 more hours. How long would it take each working alone to 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 #340779 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=340779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = A's rate of working<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = B's rate of working<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+1%2F%2820%2F3%29+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+1%2F%2820%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+3%2F20+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+3%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "What fraction of the job did A and B together <BR>\n" );
document.write( "get done in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+%2F+%2820%2F3%29+=+9%2F20+ ALIGN=MIDDLE  ALT=\"+3+%2F+%2820%2F3%29+=+9%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That leaves <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+9%2F20+=+11%2F20+ ALIGN=MIDDLE  ALT=\"+1+-+9%2F20+=+11%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "of the job left<BR>\n" );
document.write( "Now B working alone completes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11%2F20+ ALIGN=MIDDLE  ALT=\"+11%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "of the job in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8.25+ ALIGN=MIDDLE  ALT=\"+8.25+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%28+11%2F20+%29+%2F+%2833%2F4%29+=+%2811%2F20%29%2A%284%2F33%29+ ALIGN=MIDDLE  ALT=\"+b+=+%28+11%2F20+%29+%2F+%2833%2F4%29+=+%2811%2F20%29%2A%284%2F33%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+1%2F15+ ALIGN=MIDDLE  ALT=\"+b+=+1%2F15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+3%2F20+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+3%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+3%2F20+-+1%2F15+ ALIGN=MIDDLE  ALT=\"+a+=+3%2F20+-+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=+a+=+9%2F60+-+4%2F60+ ALIGN=MIDDLE  ALT=\"+a+=+9%2F60+-+4%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+5%2F60+ ALIGN=MIDDLE  ALT=\"+a+=+5%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+A+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B's rate alone is 1 job in 15 hours<BR>\n" );
document.write( "A's rate alone is 1 job in 12 hours </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );