document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=596620>Question 596620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> it takes 6 hrs longer to empty swimming pool than it does to fill it<BR>\n" );
document.write( "if you accidentally leave the drain open it wil take 120hrs to fill pool<BR>\n" );
document.write( "how long would it take if you remember to close the drain.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378247 by </B><A HREF=/tutors/aboutme.mpl?userid=w_parminder><B>w_parminder(53)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=w_parminder><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=w_parminder><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=378247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It takes 6 hrs longer to empty swimming pool than it does to fill it.<BR>\n" );
document.write( "If you accidentally leave the drain open it wil take 120hrs to fill the pool.<BR>\n" );
document.write( "how long would it take if you remember to close the drain.?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let time taken to fill the pool(With closed drain) =  X hrs<BR>\n" );
document.write( "SO rate of Fill = 1/x<BR>\n" );
document.write( "Time taken to drain the pool = X + 6 hrs<BR>\n" );
document.write( "Rate of Drain = 1/(x+6)\r<BR>\n" );
document.write( "\n" );
document.write( "Fill rate - Drain rate = 1/120\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2FX-1%2F%28X%2B6%29+=+1%2F120 ALIGN=MIDDLE  ALT=\"1%2FX-1%2F%28X%2B6%29+=+1%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "LCM = X(X+6)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X%2B6-X%29%2FX%28X%2B6%29+=+1%2F120 ALIGN=MIDDLE  ALT=\"%28X%2B6-X%29%2FX%28X%2B6%29+=+1%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28X%5E2%2B6X%29+=+1%2F120 ALIGN=MIDDLE  ALT=\"6%2F%28X%5E2%2B6X%29+=+1%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "On cross-multiplying, we get....\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5E2%2B6X+=+720 ALIGN=MIDDLE  ALT=\"X%5E2%2B6X+=+720\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5E2%2B6X-720+=+0 ALIGN=MIDDLE  ALT=\"X%5E2%2B6X-720+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Solving the quadratic equation by splitting the middle term\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5E2-24X%2B30X-720+=+0 ALIGN=MIDDLE  ALT=\"X%5E2-24X%2B30X-720+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "  <BR>\n" );
document.write( "X(X-24) + 30(X-24) = 0<BR>\n" );
document.write( "(X-24)(X+30) = 0\r<BR>\n" );
document.write( "\n" );
document.write( "This means either (X-24) = 0   OR  (X+30) = 0<BR>\n" );
document.write( "i.e.               X   = 24    OR    X  = -30\r<BR>\n" );
document.write( "\n" );
document.write( "But X is the time which can't be negative, <BR>\n" );
document.write( "So X = 24<BR>\n" );
document.write( "i.e. Time taken to fill the pool(With closed drain) = 24 hrs<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );