document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=611352>Question 611352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 400-gallon water storage tank is filled by a single inlet pipe, and two identical outlet pipes can be used to supply water to the surrounding fields (see the figure). It takes 4 hours to fill an empty tank when both outlet pipes are open. When one outlet pipe is closed, it takes 3 hours to fill the tank. Find the flow rates (in gallons per hours) in and out of the pipes. <BR>\n" );
document.write( "Inlet?<BR>\n" );
document.write( "Outlet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384916 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=384916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A 400-gallon water storage tank is filled by a single inlet pipe, and two identical outlet pipes can be used to supply water to the surrounding fields (see the figure). It takes 4 hours to fill an empty tank when both outlet pipes are open. When one outlet pipe is closed, it takes 3 hours to fill the tank. Find the flow rates (in gallons per hours) in and out of the pipes. <BR>\n" );
document.write( "Inlet?<BR>\n" );
document.write( "Outlet?<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Let i by the rate of the inlet pipe.<BR>\n" );
document.write( "Let t be the rate of one of the outlet pipes.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "i - 2t = 1/4<BR>\n" );
document.write( "i - t = 1/3<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Subtract and solve for \"t\":<BR>\n" );
document.write( "t = (1/3-(1/4)<BR>\n" );
document.write( "t = 1/12 job/hr (flow rate of each of the outlet pipes)<BR>\n" );
document.write( "Each outlet pipe removes 400/12 = 33 1/3 gallons per hour<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Solve for \"i\":<BR>\n" );
document.write( "i - t = 1/3<BR>\n" );
document.write( "i  = 1/12 + 1/3<BR>\n" );
document.write( "i = 15/36 = 5/12 job/hr (flow rate of the input pipe)<BR>\n" );
document.write( "The input pipe feeds (5/12)400 = 166 2/3 gallons per hour.<BR>\n" );
document.write( "==============================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );