document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143381>Question 143381</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395352495/algebrahomeworkh>algebra: structure and method: book1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Pipe A can fill a tank in 2 hours and Pipe B can fill ii in half the it takes Pipe C to empty it. When all 3 are opened, it takes 1.5 hours to fill the pool. How much time is required for Pipe C to empty the tank? PLEASE HELP! The answer is 6 hours, but I don't know how to get there. HELP MUCH APPRECIATED!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104374 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=104374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pipe A can fill a tank in 2 hours and Pipe B can fill it in half the time it takes<BR>\n" );
document.write( " Pipe C to empty it. When all 3 are opened, it takes 1.5 hours to fill the pool.<BR>\n" );
document.write( " How much time is required for Pipe C to empty the tank?<BR>\n" );
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document.write( "Let t = time required for Pipe C to empty the tank:<BR>\n" );
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document.write( "It says, \"Pipe B can fill it in half the time it takes Pipe C to empty it.\"<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( "Let .5t = time for Pipe B to fill the tank<BR>\n" );
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document.write( "Let the full pool = 1<BR>\n" );
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document.write( "Filling is positive, emptying is negative:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2F2 ALIGN=MIDDLE  ALT=\"1.5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2F.5t ALIGN=MIDDLE  ALT=\"1.5%2F.5t\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2Ft ALIGN=MIDDLE  ALT=\"1.5%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation 2t, to get rid of the denominators:<BR>\n" );
document.write( "1.5t + 1.5(4) - 1.5(2) = 2t(1)<BR>\n" );
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document.write( "1.5t + 6 - 3 = 2t<BR>\n" );
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document.write( "1.5t - 2t = +3 - 6<BR>\n" );
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document.write( "-.5t = -3<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%29%2F%28-.5%29 ALIGN=MIDDLE  ALT=\"%28-3%29%2F%28-.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = +6 hrs for the pipe to empty a full pool<BR>\n" );
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document.write( "Check solution using original equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2F2 ALIGN=MIDDLE  ALT=\"1.5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2F3 ALIGN=MIDDLE  ALT=\"1.5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2F6 ALIGN=MIDDLE  ALT=\"1.5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".75 + .5 - .25 = 1; confirms our solution </SPAN>\n" );
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