document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154141>Question 1154141</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A swimming pool can be filled using the inlet pipe and emptied with the drain pipe. It takes 3 hours less to fill the pool using just the inlet pipe than to empty the pool with only the drain pipe. While filling the pool with the drain pipe open, the owner realized it takes 12 more hours than filling the pool using just the inlet pipe. How much time does it take to fill the pool using just the inlet pipe? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776511 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</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=776511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A swimming pool can be filled using the inlet pipe and emptied with the drain pipe. It takes 3 hours less to fill the pool using just the inlet pipe than to empty the pool with only the drain pipe. While filling the pool with the drain pipe open, the owner realized it takes 12 more hours than filling the pool using just the inlet pipe. How much time does it take to fill the pool using just the inlet pipe? \r<BR>\n" );
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document.write( "Let it take x hours to drain the pool<BR>\n" );
document.write( "It drains 1/x of the pool in 1 hour.\r<BR>\n" );
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document.write( "It takes (x-3) hours to fill the pool only with inlet on<BR>\n" );
document.write( "The pipe fills 1/(x-3) of the pool in one hour.\r<BR>\n" );
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document.write( "When both are open it takes (x-3)+12 hours = x+9 hours<BR>\n" );
document.write( "Thus 1/(x+9) of the pool is filled in 1 hour\r<BR>\n" );
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document.write( "Simplify\r<BR>\n" );
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document.write( "3/x(x-3) = 1/(x+9)\r<BR>\n" );
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document.write( "3(x+9) = x(x-3)\r<BR>\n" );
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document.write( "3x+27 = x^2-3x\r<BR>\n" );
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document.write( "x^2 -6x -27=0\r<BR>\n" );
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document.write( "(x-9)(x+3)=0\r<BR>\n" );
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document.write( "x=9\r<BR>\n" );
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document.write( "Alone the pipe takes 6 hours to fill the pool. (x-3)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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