document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=920224>Question 920224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pipe A can fill a tank in 4 hours and pipe B can fill the tank in 1/2 the time required for pipe C to empty the tank. When all three pipes are open the tank is filled in 2.4 hours. How long for C to drain the tank? \r<BR>\n" );
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document.write( "I tried setting up a table. But I'm not sure what the significance of whether the tank is being filled or emptied is.<BR>\n" );
document.write( "Thank you for helping. <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 #558248 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=558248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rates of FILLING are (+)<BR>\n" );
document.write( "Rates of emptying are (-)<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Rate of filling for pipe A:<BR>\n" );
document.write( "( 1 tank ) / ( 4 hrs )<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-R+ ALIGN=MIDDLE  ALT=\"+-R+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = rate of emptying for pipe C<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2R+ ALIGN=MIDDLE  ALT=\"+2R+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = rate of filling for pipe B<BR>\n" );
document.write( "( 1/2 the time means twice the rate )<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "Add the rates with all 3 pipes open:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+2R+-+R+=+1+%2F+2.4+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+2R+-+R+=+1+%2F+2.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4%2A4+ ALIGN=MIDDLE  ALT=\"2.4%2A4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2.4+%2B+19.2R+-+9.6R+=+4+ ALIGN=MIDDLE  ALT=\"+2.4+%2B+19.2R+-+9.6R+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9.6R+=+1.6+ ALIGN=MIDDLE  ALT=\"+9.6R+=+1.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+R+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-R+=+-1%2F6+ ALIGN=MIDDLE  ALT=\"+-R+=+-1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In minutes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-R+=+%28+-1%2F6+%29%2A60++ ALIGN=MIDDLE  ALT=\"+-R+=+%28+-1%2F6+%29%2A60++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-R+=+-10+ ALIGN=MIDDLE  ALT=\"+-R+=+-10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Pipe C drains the tank in 10 min<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+2R+-+R+=+1+%2F+2.4+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+2R+-+R+=+1+%2F+2.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+2%2A%281%2F6%29+-+1%2F6+=+1+%2F+2.4+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+2%2A%281%2F6%29+-+1%2F6+=+1+%2F+2.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+ ALIGN=MIDDLE  ALT=\"+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+%2B+4+-+2+=+5+ ALIGN=MIDDLE  ALT=\"+3+%2B+4+-+2+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+5+ ALIGN=MIDDLE  ALT=\"+5+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );