document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45662>Question 45662</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi again,\r<BR>\n" );
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document.write( "I need some assistance with this mixture problem:\r<BR>\n" );
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document.write( "It takes a pipe 10 minutes less than another one to fill a tank of water. Both pipes together can fill the tank in 12 minutes. How long will it take each one to fill the tank separately?\r<BR>\n" );
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document.write( "I am having trouble on how to start setting the equation up.\r<BR>\n" );
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document.write( "Thanks again,<BR>\n" );
document.write( "Lou </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #30346 by </B><A HREF=/tutors/aboutme.mpl?userid=Fermat><B>Fermat(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fermat><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=Fermat><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=30346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two pipes have fill rates of R1 and R2 m^3/min<BR>\n" );
document.write( "Let the volume of the tank be V m^3<BR>\n" );
document.write( "The time for pipe1 to fill the tank is,<BR>\n" );
document.write( "T1 = V/R1 min<BR>\n" );
document.write( "similiarly,<BR>\n" );
document.write( "T2 = V/R2<BR>\n" );
document.write( "The difference in times is 10 min, so we can write,<BR>\n" );
document.write( "T1 - T2 = 10<BR>\n" );
document.write( "(at the moment it doesn't matter whether you say T1-T2 or T2-T1, since we haven't said which of R1 and R2 is the greater. It will all work out in the end)<BR>\n" );
document.write( "substituting for T1 and T2,<BR>\n" );
document.write( "V/R1 - V/R2 = 10<BR>\n" );
document.write( "V(1/R1 - 1/R2) = 10<BR>\n" );
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document.write( "If pipe1 fills the tank at R1 m^3/min and pipe2 fills the tank at R2 m^3/min, then together they both fill the tank at a rate of (R1+R2) m^3/min.<BR>\n" );
document.write( "T3 = V/(R1+R2)<BR>\n" );
document.write( "12 = V/(R1 + R2)<BR>\n" );
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document.write( "You now have two equations in R1 and R2 from which you can solve for R1 and R2 separately, in terms of V.<BR>\n" );
document.write( "You should end up with T1 = 30 mins, T2 = 20 mins. </SPAN>\n" );
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