document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=372353>Question 372353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't know how to set up the equation for this word problem...\r<BR>\n" );
document.write( "\n" );
document.write( "My cat Archimedes can rid my garage of mice twice as fast as my neighbor's cat, Pythagoras.  If they joined forces, they can clear a garage in a mere two hours.  In how many hours does it take for each of these felines to clear a garage of mice working alone?\r<BR>\n" );
document.write( "\n" );
document.write( "I think the known values are:\r<BR>\n" );
document.write( "\n" );
document.write( "Pythagoras's rate = x<BR>\n" );
document.write( "Archimedes' rate = 2x<BR>\n" );
document.write( "Total time working together = 2 hours\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265238 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265238\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> they each do some FRACTION of the job , based on their individual times<BR>\n" );
document.write( "___ the fractions sum to one (the WHOLE job)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(2hr / A) + (2hr / P) = 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Pythagoras' time is twice Archimedes' ___ P = 2A\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "substituting ___ (2 / A) + (2 / 2A) = 1 ___ 3hr = A \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "substituting ___ P = 2(3) = 6hr </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );