document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885275>Question 885275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Working together, two people can complete a task in 7 hours. Working alone, one person takes 2 hours longer than the other to complete the task. How long would it take for each person to complete the task? (Round your answers to one decimal place.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535032 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=535032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rates of each working together are added.  Arrange rates as TASK per HOUR.<BR>\n" );
document.write( "Two People, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "One person, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The other person, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%281%2Fx%2B1%2F%28x%2B2%29=1%2F7%29 ALIGN=MIDDLE  ALT=\"highlight_green%281%2Fx%2B1%2F%28x%2B2%29=1%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Solve for x and you can find the \"one person's\" rate, OR the time for the task.\r<BR>\n" );
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document.write( "You should find the quadratic equation occurs, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-12x-14=0 ALIGN=MIDDLE  ALT=\"x%5E2-12x-14=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the sensible solution which works is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6%2B5sqrt%282%29 ALIGN=MIDDLE  ALT=\"x=6%2B5sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   This is about 13.07 hours. </SPAN>\n" );
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