document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934291>Question 934291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this question: Pipe A can fill a tank in 5 h. Pipe B can fill it in 2 h less time than it takes Pipe C, a drainpipe, to empty the tank. With all three pipes open, it takes 3 h to fill the tank. How long would it take to pipe C to empty it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567345 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=567345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pipe A's rate of filling is:<BR>\n" );
document.write( "( 1 tank filled ) / ( 5 hrs )<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pipe C's time to<BR>\n" );
document.write( "empty the tank, so C's rate<BR>\n" );
document.write( "of emptying is:<BR>\n" );
document.write( "( minus 1 tank filled ) / ( t hrs )<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Pipe B's rate of filling is:<BR>\n" );
document.write( "( 1 tank filled ) / ( t - 2 hrs )<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "With all 3 pipes open, the rate of filling is:<BR>\n" );
document.write( "( 1 tank filled ) / ( 3 hrs ), so I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F5+%2B+1%2F%28+t-2+%29+-+1%2Ft+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F5+%2B+1%2F%28+t-2+%29+-+1%2Ft+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15%2At%2A%28+t-2+%29+ ALIGN=MIDDLE  ALT=\"+15%2At%2A%28+t-2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3t%2A%28+t-2+%29+%2B+15t+-+15%2A%28+t-2+%29+=+5t%2A%28+t-2+%29+ ALIGN=MIDDLE  ALT=\"+3t%2A%28+t-2+%29+%2B+15t+-+15%2A%28+t-2+%29+=+5t%2A%28+t-2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5t%2A%28+t-2+%29+-+3t%2A%28+t-2+%29+=+15t+-+15%2A%28+t-2+%29+ ALIGN=MIDDLE  ALT=\"+5t%2A%28+t-2+%29+-+3t%2A%28+t-2+%29+=+15t+-+15%2A%28+t-2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2t%2A%28+t-2+%29+=+15t+-+15t+%2B+30+ ALIGN=MIDDLE  ALT=\"+2t%2A%28+t-2+%29+=+15t+-+15t+%2B+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2t%5E2+-+4t+-+30+=+0+ ALIGN=MIDDLE  ALT=\"+2t%5E2+-+4t+-+30+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+-+2t+-+15+=+0+ ALIGN=MIDDLE  ALT=\"+t%5E2+-+2t+-+15+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+t+-+5+%29%2A%28+t+%2B+3+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+t+-+5+%29%2A%28+t+%2B+3+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+5+ ALIGN=MIDDLE  ALT=\"+t+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( can't use negative time )<BR>\n" );
document.write( "Pipe C can empty the tank in 5 hrs<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F5+%2B+1%2F%28+t-2+%29+-+1%2Ft+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F5+%2B+1%2F%28+t-2+%29+-+1%2Ft+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F5+%2B+1%2F%28+5-2+%29+-+1%2F5+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F5+%2B+1%2F%28+5-2+%29+-+1%2F5+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F5+%2B+1%2F3+-+1%2F5+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F5+%2B+1%2F3+-+1%2F5+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F3+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );