document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232546>Question 232546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pipe A can fill a tank in 5 hours. Pipe B can fill the tank in 2 hours less time than it takes pipe C to empty it. With all pipes open it takes 3 hours to fill the tank. How long will it take pipe C to empty the tank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171824 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pipe A can fill a tank in 5 hours. Pipe B can fill the tank in 2 hours less time than it takes pipe C to empty it. With all pipes open it takes 3 hours to fill the tank. How long will it take pipe C to empty the tank?<BR>\n" );
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document.write( "Let x = time required by pipe C to empty a full tank<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x-2) = time for Pipe B to fill the tank<BR>\n" );
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document.write( "Let the full tank = 1<BR>\n" );
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document.write( "Filling +, emptying -<BR>\n" );
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document.write( "Pipe A + Pipe B - Pipe C = a full tank<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"3%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fx ALIGN=MIDDLE  ALT=\"3%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 5x(x-2), results<BR>\n" );
document.write( "3x(x-2) + 5x(3) - 5(x-2)(3) = 5x(x-2)<BR>\n" );
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document.write( "3x^2 - 6x + 15x - 15(x-2) = 5x^2 - 10x<BR>\n" );
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document.write( "3x^2 - 6x + 15x - 15x + 30 = 5x^2 - 10x<BR>\n" );
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document.write( "3x^2 - 6x + 30 = 5x^2 - 10x<BR>\n" );
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document.write( "0 = 5x^2 - 3x^2 - 10x + 6x - 30<BR>\n" );
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document.write( "0 = 2x^2 - 4x - 30<BR>\n" );
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document.write( "Simplify divide by 2<BR>\n" );
document.write( "x^2 - 2x - 15 = 0<BR>\n" );
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document.write( "Factors to:<BR>\n" );
document.write( "(x-5)(x+3) = 0<BR>\n" );
document.write( "Positive solution<BR>\n" );
document.write( "x = 5 hrs, time pipe C needs to empty a full tank<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5 - 2 = 3 hrs for pipe B to fill the tank<BR>\n" );
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document.write( "Since pipe A fills in 5 hrs and pipe C empties in 5 hrs we're left with pipe B which fills it in 3 hrs<BR>\n" );
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