document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=377620>Question 377620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a problem on my homework that has very little detail in the textbook. I need to know a formula for the following: Two pipes working together can fill a tank in 12hrs. Working alone, the larger one can fill the tank in 18hrs less than the smaller one. How long does it take for the smaller tank working alone? Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268310 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "the larger one can fill the tank in 18hrs less than the smaller one.<BR>\n" );
document.write( "Let x represent the time for the smaller alone, <BR>\n" );
document.write( "then (x-18hr)would be the time for the larger alone<BR>\n" );
document.write( "Per hour is the Equalizer<BR>\n" );
document.write( "1/x + 1/(x-18) = 1/12 Mulitiplying each term by 12x(x-18)so all denominators = 1<BR>\n" );
document.write( "12(x-18) + 12x = x(x-18)<BR>\n" );
document.write( "solving for x<BR>\n" );
document.write( "12x - 12*18 +12x = x^2 - 18x<BR>\n" );
document.write( "24x - 12*18 = x^2 - 18x<BR>\n" );
document.write( "x^2 - 42x + 216 = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2842+%2B-+sqrt%28+900%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%2842+%2B-+sqrt%28+900%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 6  Cannot use<BR>\n" );
document.write( "x = 36hr, the time for the smaller alone.  18hr for the larger alone (36-18)<BR>\n" );
document.write( "CHECKING our Anwer<BR>\n" );
document.write( "1/36 + 1/18 = 2/72 + 4/72 = 6/72 = 1/12 </SPAN>\n" );
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