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 #30361 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=30361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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( "Faster Pipe DATA:<BR>\n" );
document.write( " Time to do the job = x minutes;  Rate= (1/x) job/min \r<BR>\n" );
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document.write( "Slower Pipe Data:<BR>\n" );
document.write( " Time to do the job = x-10 minutes: Rate = 1/(x-10) job/min\r<BR>\n" );
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document.write( "Filling Together Data:<BR>\n" );
document.write( " Time to do the job = 12 minutes: Rate = 1/12 job/min\r<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( " rate + rate = rate together<BR>\n" );
document.write( "1/x + 1/(x-10) = 1/12\r<BR>\n" );
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document.write( "[x-10+x]/[x(x-10} = 1/12<BR>\n" );
document.write( "12(2x-10) = x^2-10x<BR>\n" );
document.write( "x^2-34x+120=0<BR>\n" );
document.write( "(x-30)(x-4)=0<BR>\n" );
document.write( "x= 30 minutes or x= 4 minutes<BR>\n" );
document.write( "Only the x=30 minute answer applies because the slower pipe time is then 20 min.<BR>\n" );
document.write( "Slower pipe time is 30 minutes.<BR>\n" );
document.write( "Faster pipe time is 20 minutes.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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