document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167938>Question 167938</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The intake pipe can fill a certain tank in 6 h when the outlet pipe is closed, but with the outlet pipe open it takes 9 h.  How long would it take to the outlet pipe to empty a full tank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123806 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=123806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The intake pipe can fill a certain tank in 6 h when the outlet pipe is closed,<BR>\n" );
document.write( " but with the outlet pipe open it takes 9 h.  How long would it take to the<BR>\n" );
document.write( " outlet pipe to empty a full tank?<BR>\n" );
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document.write( "Let t = time for the outlet pipe to empty the tank.<BR>\n" );
document.write( "Let the full tank = 1<BR>\n" );
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document.write( "Filling is positive, draining is negative<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F6 ALIGN=MIDDLE  ALT=\"9%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ft ALIGN=MIDDLE  ALT=\"9%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 6t, to get rid of the denominators:<BR>\n" );
document.write( "9t - 6(9) = 6t<BR>\n" );
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document.write( "9t - 54 = 6t<BR>\n" );
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document.write( "9t - 6t = 54<BR>\n" );
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document.write( "3t = 54<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F3 ALIGN=MIDDLE  ALT=\"54%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 18 hrs to empty the full tank<BR>\n" );
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document.write( "Check solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F6 ALIGN=MIDDLE  ALT=\"9%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F18 ALIGN=MIDDLE  ALT=\"9%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 </SPAN>\n" );
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