document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763951>Question 763951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Tom can do a job in 2 hours and Jerry can do the same job in 3 hours, how long will it take them to do the job together?\r<BR>\n" );
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document.write( "The answer is less than 1.5, however, you can't combine the times and average, would it make more sense to convert them into fractions?\r<BR>\n" );
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document.write( "Please help?  Hate word problems, and it's been 36 years since I've taken an algebra course. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465154 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=465154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "If A can do a job in <i>x</i> time periods, then A can do <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{x}\"> of the job in 1 time period.  Likewise, if B can do the same job in <i>y</i> time periods, then B can do <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{y}\"> of the job in 1 time period.\r<BR>\n" );
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document.write( "So, working together, they can do\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{1}{x}\ +\ \frac{1}{y}\ =\ \frac{x\ +\ y}{xy} \">\r<BR>\n" );
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document.write( "of the job in 1 time period.\r<BR>\n" );
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document.write( "Therefore, they can do the whole job in:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{1}{\frac{x + y}{xy}}\ =\ \frac{xy}{x\ +\ y}\">\r<BR>\n" );
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document.write( "time periods.\r<BR>\n" );
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document.write( "So you could just do it in the formulatic way:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{2\,\cdot\,3}{2\,+\,3}\ =\ \frac{6}{5}\ =\ 1.2\">\r<BR>\n" );
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document.write( "Or use the logic laid out above:\r<BR>\n" );
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document.write( "Whole job in 2 hours, then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{2}\"> of the job in one hour.  Likewise, for the other guy, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{3}\"> of the job in one hour.\r<BR>\n" );
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document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{2}\ +\ \frac{1}{3}\ =\ \frac{3}{6}\ +\ \frac{2}{6}\ =\ \frac{5}{6}\"> of the job in one hour, or the whole job in <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{6}{5}\ =\ 1.2\"> hours.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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