document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272869>Question 272869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I write and solve an equation for c mows the lawn three times faster than j. How long will it take to finish the job?  (do you need the acerage? It would be 2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199432 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=199432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Without knowing specifically how long it takes either one of the participants to do the entire job (or some specified portion of the job) all you can tell is the proportional difference between the amount of time it would take <b><i>j</i></b> working alone vs. <b><i>c</i></b> working alone vs. the two of them working together.\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the number of time periods it would take <b><i>c</i></b> working alone.  Then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3x\"> represents the number of time periods it would take <b><i>j</i></b> working alone.\r<BR>\n" );
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document.write( "<b><i>c</i></b> can do <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{x}\"> of the job in one time period.  Likewise, <b><i>j</i></b> can do <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{3x}\"> of the job in one time period.  Then, 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}{3x}\ =\ \frac{4}{3x}\">\r<BR>\n" );
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document.write( "of the job in one time period.  Hence, they would take:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3x}{4}\"> time periods to do the entire job.\r<BR>\n" );
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document.write( "So, however long it takes <b><i>c</i></b> to do the entire job by herself is the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> and three-fourths of that is the time it would take the two of them working together.\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" );
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