document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473435>Question 473435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it in 8 hours. How long will it take to fill the vat if both pipes are left open? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324809 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=324809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A winery has a vat with two pipes leading to it.<BR>\n" );
document.write( " The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it in 8 hours.<BR>\n" );
document.write( "How long will it take to fill the vat if both pipes are left open?<BR>\n" );
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document.write( "let t = time required to fill the vat with both valves open<BR>\n" );
document.write( "let the completed job = 1, (a full vat)<BR>\n" );
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document.write( "Fill is plus, empty is minus<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F3 ALIGN=MIDDLE  ALT=\"t%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F8 ALIGN=MIDDLE  ALT=\"t%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 24 to clear the denominators, result:<BR>\n" );
document.write( "8t - 3t = 24<BR>\n" );
document.write( "5t = 24<BR>\n" );
document.write( " t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F5 ALIGN=MIDDLE  ALT=\"24%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " t = 4.8 hrs to fill it with both valves open<BR>\n" );
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document.write( "Check<BR>\n" );
document.write( "4.8/3 - 4.8/8 = <BR>\n" );
document.write( "1.6 - .6 = 1; confirms our solution of t = 4.8 </SPAN>\n" );
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