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 #265232 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=265232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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?<BR>\n" );
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document.write( "Let Arch time = x hrs/job ; Arch rate = 1/x job/hr<BR>\n" );
document.write( "Pyth time = 2x hrs/job ; Pyth rate = 1/(2x) job/hr<BR>\n" );
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document.write( "Together time = 2 hr/job ; together rate = 1/2 job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(2x) = 1/2<BR>\n" );
document.write( "2 + 1 = x<BR>\n" );
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document.write( "Arch time = x = 3 hrs<BR>\n" );
document.write( "Pyth time = 2x = 6 hrs.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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