document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216558>Question 216558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I'm sure questions like this have been answered many times before, but am at work and not enough time to sort through all the problems! Eep!\r<BR>\n" );
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document.write( "The problem is: A distillate flows into an empty 64-gallon drum at spout A and out of the drum at spout B. If the rate of flow through A is 2 gallons/hour, how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours?\r<BR>\n" );
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document.write( "Thank you so much!<BR>\n" );
document.write( "Lauren </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163531 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "So what you are saying is that you don't have enough time to do the work required to research what you want, but we have plenty of time to repeat time and effort previously spent.  I guess you must feel the value of your time is much greater than that of any of us.\r<BR>\n" );
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document.write( "If spout B were closed, then spout A would fill the 64 gallon drum in 32 hours.  That means that spout A fills <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{32}\"> of the tank per hour.  We don't know what fraction of the tank spout B empties per hour, so let's just call it <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{x}\">.  We want the tank to fill at a rate of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{96}\"> per hour.  So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{1}{32}\ -\ \frac{1}{x}\ =\ \frac{1}{96}\">\r<BR>\n" );
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document.write( "Just solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> which will be the number of hours it would take spout B to empty a full tank if spout A were closed.  Divide <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> into 64 to get the gallons per hour rate for spout B.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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