document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=857477>Question 857477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Worker A and worker B, working together, can finish a job in 12 days. After 8 days worker A gets sick and worker B continues the job and finishes it in 20 days. How much does it for each worker to finish the job if they each worked alone?\r<BR>\n" );
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document.write( "Thank you! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516618 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=516618\">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=+R%5Ba%5D+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = A's rate of working in ( jobs ) / ( days )<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bb%5D+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = B's rate of working in ( jobs ) / ( days )<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Add their individual rates of working to get<BR>\n" );
document.write( "their rate working together<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+ ALIGN=MIDDLE  ALT=\"+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > days, the fraction of the job that A<BR>\n" );
document.write( "gets done is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8R%5Ba%5D+ ALIGN=MIDDLE  ALT=\"+8R%5Ba%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The fraction left to do is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+8R%5Ba%5D+ ALIGN=MIDDLE  ALT=\"+1+-+8R%5Ba%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "B finishes the job in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+ ALIGN=MIDDLE  ALT=\"+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > days<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Bb%5D+=+%28%28+1+-+8R%5Ba%5D+%29%29+%2F+20+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D+=+%28%28+1+-+8R%5Ba%5D+%29%29+%2F+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20R%5Bb%5D+=+1+-+8R%5Ba%5D+ ALIGN=MIDDLE  ALT=\"+20R%5Bb%5D+=+1+-+8R%5Ba%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8R%5Ba%5D+%2B+20R%5Bb%5D+=+1+ ALIGN=MIDDLE  ALT=\"+8R%5Ba%5D+%2B+20R%5Bb%5D+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12R%5Ba%5D+%2B+12R%5Bb%5D+=+1+ ALIGN=MIDDLE  ALT=\"+12R%5Ba%5D+%2B+12R%5Bb%5D+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By substitution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8R%5Ba%5D+%2B+20R%5Bb%5D+=+12R%5Ba%5D+%2B+12R%5Bb%5D+ ALIGN=MIDDLE  ALT=\"+8R%5Ba%5D+%2B+20R%5Bb%5D+=+12R%5Ba%5D+%2B+12R%5Bb%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4R%5Ba%5D+=+8R%5Bb%5D+ ALIGN=MIDDLE  ALT=\"+4R%5Ba%5D+=+8R%5Bb%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+=+2R%5Bb%5D+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+=+2R%5Bb%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2R%5Bb%5D+%2B+R%5Bb%5D+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+2R%5Bb%5D+%2B+R%5Bb%5D+=+1%2F12+\"   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%5Bb%5D+=+1%2F36+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D+=+1%2F36+\"   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=+R%5Ba%5D+=+2R%5Bb%5D+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+=+2R%5Bb%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+=+1%2F18+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+=+1%2F18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "A can do the job in 18 days working alone<BR>\n" );
document.write( "B can do the job in 36 days working alone<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F18+%2B+1%2F36+=+1%2F12+ ALIGN=MIDDLE  ALT=\"+1%2F18+%2B+1%2F36+=+1%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2F36+%2B+1%2F36+=+3%2F36+ ALIGN=MIDDLE  ALT=\"+2%2F36+%2B+1%2F36+=+3%2F36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F36+=+3%2F36+ ALIGN=MIDDLE  ALT=\"+3%2F36+=+3%2F36+\"   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=+R%5Bb%5D+=+%28+1+-+8R%5Ba%5D+%29+%2F+20+ ALIGN=MIDDLE  ALT=\"+R%5Bb%5D+=+%28+1+-+8R%5Ba%5D+%29+%2F+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F36+=+%28+1+-+8%2A%281%2F18%29+%29+%2F+20+ ALIGN=MIDDLE  ALT=\"+1%2F36+=+%28+1+-+8%2A%281%2F18%29+%29+%2F+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F36+=+%28+1+-+4%2F9+%29+%2F+20+ ALIGN=MIDDLE  ALT=\"+1%2F36+=+%28+1+-+4%2F9+%29+%2F+20+\"   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=+20%2A36+ ALIGN=MIDDLE  ALT=\"+20%2A36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+=+36%2A%28+5%2F9+%29+ ALIGN=MIDDLE  ALT=\"+20+=+36%2A%28+5%2F9+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+180+=+180+ ALIGN=MIDDLE  ALT=\"+180+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
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document.write( " </SPAN>\n" );
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