document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=195111>Question 195111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two pipes are connected to a tank.  When working together, the two pipes can fill the tank in 4 hours. The larger pipe, working alone, can fill the tank in 6 less hours than the smaller one.  How long would the smaller one take to fill the tank alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146357 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=146357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two pipes are connected to a tank. When working together, the two pipes can fill <BR>\n" );
document.write( "the tank in 4 hours. The larger pipe, working alone, can fill the tank in 6 less<BR>\n" );
document.write( " hours than the smaller one. How long would the smaller one take to fill the tank alone?<BR>\n" );
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document.write( "Let t = time for the small pipe to fill the tank alone<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(t-6) = time for the large pipe to fill the tank alone<BR>\n" );
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document.write( "Let the full tank = 1<BR>\n" );
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document.write( "Each tank will fill a fraction of the tank. The two fractions = 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ft ALIGN=MIDDLE  ALT=\"4%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28%28t-6%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28%28t-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply by t(t-6)<BR>\n" );
document.write( "t(t-6)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ft ALIGN=MIDDLE  ALT=\"4%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + t(t-6)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28%28t-6%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28%28t-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = t(t-6)(1)<BR>\n" );
document.write( "Cancel out the denominators and you have:<BR>\n" );
document.write( "4(t-6) + 4t = t(t-6)<BR>\n" );
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document.write( "4t - 24 + 4t = t^2 - 6t<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "0 = t^2 - 6t - 8t + 24<BR>\n" );
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document.write( "t^2 - 14t + 24 = 0<BR>\n" );
document.write( "Factor this to<BR>\n" );
document.write( "(t-2)(t-12) = 0<BR>\n" );
document.write( "The only reasonable solution<BR>\n" );
document.write( "t = 12 hrs, the small pipe alone<BR>\n" );
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document.write( "Check solution in original equation, (large pipe alone:12-6 = 6hr)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F12 ALIGN=MIDDLE  ALT=\"4%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6%29 ALIGN=MIDDLE  ALT=\"4%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3%29 ALIGN=MIDDLE  ALT=\"2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( " </SPAN>\n" );
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