document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286877>Question 286877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On average, it takes a teacher 39 minutes to grade a set of quizzes.  It takes her teacher's aide twice as long to do the same grading.  How long will it take if they work together to grade a set of quizzes?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208029 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=208029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to add their rates of working to get<BR>\n" );
document.write( "their rate working together<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > = their time to finish working together<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "1st teacher's time is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39 ALIGN=MIDDLE  ALT=\"39\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "teacher's aide's time is<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A39+=+78 ALIGN=MIDDLE  ALT=\"2%2A39+=+78\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "In words:<BR>\n" );
document.write( "(1 set of quizzes/teacher's time) + (1 set of quizzes/aide's time) = (1 set of quizzes/time working together)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F39+%2B+1%2F78+=+1%2Ft ALIGN=MIDDLE  ALT=\"1%2F39+%2B+1%2F78+=+1%2Ft\"   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=78t ALIGN=MIDDLE  ALT=\"78t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t+%2B+t+=+78 ALIGN=MIDDLE  ALT=\"2t+%2B+t+=+78\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3t+=+78 ALIGN=MIDDLE  ALT=\"3t+=+78\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+26 ALIGN=MIDDLE  ALT=\"t+=+26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It will take them <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26 ALIGN=MIDDLE  ALT=\"26\"   DISABLED_style= \"max-width:90%; height:auto;\" > min working together </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );