document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=873130>Question 873130</A>: <I><SPAN STYLE=\"word-break: break-all;\">  one person can complete a task 8 hours sooner than another person. working together both people can perform the task in 3 hours. How many does it take each person to complete the task working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526648 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=526648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add their rates of working to<BR>\n" );
document.write( "get their rate working together<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "1st person's rate:<BR>\n" );
document.write( "( 1 task ) / ( t - 8 hrs )<BR>\n" );
document.write( "where (t) is in hours<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "2nd person's rate:<BR>\n" );
document.write( "( 1 task ) / ( t hrs )<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Rate working together:<BR>\n" );
document.write( "( 1 task ) / ( 3 hrs )<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%28+t+-+8+%29+%2B+1%2Ft+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F%28+t+-+8+%29+%2B+1%2Ft+=+1%2F3+\"   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=+%28+t-8+%29%2At%2A3+ ALIGN=MIDDLE  ALT=\"+%28+t-8+%29%2At%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3t+%2B+3%2A%28+t-8+%29+=+t%2A%28+t-8+%29+ ALIGN=MIDDLE  ALT=\"+3t+%2B+3%2A%28+t-8+%29+=+t%2A%28+t-8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3t+%2B+3t+-+24+=+t%5E2+-+8t+ ALIGN=MIDDLE  ALT=\"+3t+%2B+3t+-+24+=+t%5E2+-+8t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+14t++=+-24+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+14t++=+-24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+14t+%2B+%28+14%2F2+%29%5E2+=+-24+%2B+%2814%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+14t+%2B+%28+14%2F2+%29%5E2+=+-24+%2B+%2814%2F2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+14t+%2B+49+=+-24+%2B+49+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+14t+%2B+49+=+-24+%2B+49+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+t+-+7+%29%5E2+=+25+ ALIGN=MIDDLE  ALT=\"+%28+t+-+7+%29%5E2+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+t+-+7+%29%5E2+=+5%5E2+ ALIGN=MIDDLE  ALT=\"+%28+t+-+7+%29%5E2+=+5%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+7+=+5+ ALIGN=MIDDLE  ALT=\"+t+-+7+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+12+ ALIGN=MIDDLE  ALT=\"+t+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+8+=+4+ ALIGN=MIDDLE  ALT=\"+t+-+8+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "The 1st person takes 4 hrs<BR>\n" );
document.write( "The 2nd person takes 12 hrs<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%28+t+-+8+%29+%2B+1%2Ft+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F%28+t+-+8+%29+%2B+1%2Ft+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%28+12+-+8+%29+%2B+1%2F12+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F%28+12+-+8+%29+%2B+1%2F12+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+1%2F12+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+1%2F12+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F12+%2B+1%2F2+=+4%2F12+ ALIGN=MIDDLE  ALT=\"+3%2F12+%2B+1%2F2+=+4%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F12+=+4%2F12+ ALIGN=MIDDLE  ALT=\"+4%2F12+=+4%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );