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" );
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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" );
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document.write( "I think the known values are:\r<BR>\n" );
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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" );
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document.write( "Thank you!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265234 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16949)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pythagoras's rate = x<BR>\n" );
document.write( "Archimedes' rate = 2x<BR>\n" );
document.write( "Total time working together = 2 hours<BR>\n" );
document.write( "...<BR>\n" );
document.write( "I will continue your steps<BR>\n" );
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document.write( "Pythagoras's can do 1/x of the job in 1 hour<BR>\n" );
document.write( "Archimedes' can do 1/ 2x of the job in 1 hour.<BR>\n" );
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document.write( "together they can do 1/x + 1/2x of the job in 1 hour<BR>\n" );
document.write( "(2+1)/2x<BR>\n" );
document.write( "=2+1/2x<BR>\n" );
document.write( "=3/2x<BR>\n" );
document.write( "So they will take 2x/3 hours to do the job. = 2<BR>\n" );
document.write( "2x/3=2<BR>\n" );
document.write( "multiply by 3<BR>\n" );
document.write( "2x = 6<BR>\n" );
document.write( "/2<BR>\n" );
document.write( "x=3 Pythagoras's time<BR>\n" );
document.write( "2x= 6 hours = Archimedes<BR>\n" );
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document.write( "so you know how many hours they take<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca<BR>\n" );
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