document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891095>Question 891095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Aly can paint a room two hours less than AJ. If they will work together, they can finish the job in 12 hours. How long would it take each person to complete the same job 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 #539512 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Aly and A.J., time for A.J. to do the job alone is t.\r<BR>\n" );
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document.write( "The description gives rates:<BR>\n" );
document.write( "Aly, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28t-2%29 ALIGN=MIDDLE  ALT=\"1%2F%28t-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A.J., <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ft ALIGN=MIDDLE  ALT=\"1%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combined Aly & A.J., <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > working together.\r<BR>\n" );
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document.write( "The combined rate is simply the sum of their rates.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28t-2%29%2B1%2Ft=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F%28t-2%29%2B1%2Ft=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12t%28t-2%29 ALIGN=MIDDLE  ALT=\"12t%28t-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so multiply both sides by this expression.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12t%2B12%28t-2%29=t%28t-2%29 ALIGN=MIDDLE  ALT=\"12t%2B12%28t-2%29=t%28t-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12t%2B12t-24=t%5E2-2t ALIGN=MIDDLE  ALT=\"12t%2B12t-24=t%5E2-2t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26t-24=t%5E2 ALIGN=MIDDLE  ALT=\"26t-24=t%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%5E2-26t%2B24=0 ALIGN=MIDDLE  ALT=\"t%5E2-26t%2B24=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%2826%2B-+sqrt%2826%5E2-4%2A24%29%29%2F2 ALIGN=MIDDLE  ALT=\"t=%2826%2B-+sqrt%2826%5E2-4%2A24%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%2826%2B-+sqrt%28580%29%29%2F2 ALIGN=MIDDLE  ALT=\"t=%2826%2B-+sqrt%28580%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using decimal approximation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=%2826%2B-+24.033%29%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28t=%2826%2B-+24.033%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=25%29 ALIGN=MIDDLE  ALT=\"highlight%28t=25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28t=0.9835%29willNotWork ALIGN=MIDDLE  ALT=\"cross%28t=0.9835%29willNotWork\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A.J. could do the job alone in 25 hours.<BR>\n" );
document.write( "(More accurately,25.02 hours.)<BR>\n" );
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