document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=807367>Question 807367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Liquid is flowing into a tank. Pump can pump from tank faster than this flow. Pump starts when tank is full. How long will pump run to empty contents of tank plus all liquid entering tank during this time?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #486285 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=486285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Concept is R*t=v;<BR>\n" );
document.write( "R is fill or empty rate in vessel per time, whatever units are needed.<BR>\n" );
document.write( "r is time, in whatever unit needed.<BR>\n" );
document.write( "v is vessel or the tank as a unit itself, in whatever volume unit if necessary, but the focus may be on \"vessel\" as a unit.\r<BR>\n" );
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document.write( "Your example's rate for filling is F.  The rate for emptying is E for Empty or Evacuate.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%3E0 ALIGN=MIDDLE  ALT=\"F%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%3C0 ALIGN=MIDDLE  ALT=\"E%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The actual rate occurring will be for emptying the tank.  This rate is F+E tanks per time.  This rate will be negative because E<F and |E|>|F|.\r<BR>\n" );
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document.write( "Your example starts with v=1, but you can call this a reference point of zero if you find it simpler.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28F%2BE%29t=-1%29 ALIGN=MIDDLE  ALT=\"highlight%28%28F%2BE%29t=-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving for t for this emptying to be done gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=-%281%2F%28F%2BE%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28t=-%281%2F%28F%2BE%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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