document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211575>Question 211575</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780495558880/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with this \"filling storage tanks\" word problem? Two pipes ure used to fill a water storage tank. The first pipe can fill the tank in 4hrs, and the two pipes together can fill the tank in 2 hrs less time than the second pipe alone. How long would it take for the second pipe to fill the tank? please show me all the steps and please get back before Tues 10am. <BR>\n" );
document.write( "Thanks guys </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159872 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=159872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two pipes are used to fill a water storage tank. <BR>\n" );
document.write( "The first pipe can fill the tank in 4 hrs, and the two pipes together can fill<BR>\n" );
document.write( " the tank in 2 hrs less time than the second pipe alone.<BR>\n" );
document.write( " How long would it take for the second pipe to fill the tank<BR>\n" );
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document.write( "Let t = time for the 2nd pipe to fill it alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t-2) = two hrs less<BR>\n" );
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document.write( "Let the completed job (full tank) = 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t-2%29%2F4 ALIGN=MIDDLE  ALT=\"%28t-2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t-2%29%2Ft ALIGN=MIDDLE  ALT=\"%28t-2%29%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by 4t, results:<BR>\n" );
document.write( "t(t-2) + 4(t-2) = 4t<BR>\n" );
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document.write( "t^2 - 2t + 4t - 8 = 4t<BR>\n" );
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document.write( "Arrange as a quadratic equation:<BR>\n" );
document.write( "t^2 - 2t + 4t - 4t - 8 = 0<BR>\n" );
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document.write( "t^2 - 2t - 8 = 0<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "(t-4)(t+2) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "t = 4 hrs is 2nd pipe time alone<BR>\n" );
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document.write( "Check solution in  original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-2%29%2F4 ALIGN=MIDDLE  ALT=\"%284-2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-2%29%2F4 ALIGN=MIDDLE  ALT=\"%284-2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F4 ALIGN=MIDDLE  ALT=\"2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F4 ALIGN=MIDDLE  ALT=\"2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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