document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=426337>Question 426337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes one day to fill the vat with this large pipe; two days with that' The third pipe needs but one day more; The fourth pipe fills the vat in four. If all four pipes together fun, How many HOURS before the task is done? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296610 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=296610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It takes one day to fill the vat with this large pipe; two days with that'<BR>\n" );
document.write( " The third pipe needs but one day more; The fourth pipe fills the vat in four.<BR>\n" );
document.write( " If all four pipes together run, How many HOURS before the task is done?<BR>\n" );
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document.write( "Let's use hrs for this, since it wants the solution in hours<BR>\n" );
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document.write( "Let t = time required by all 4 pipes working together<BR>\n" );
document.write( "Let the completed job = 1; (a full vat)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F24 ALIGN=MIDDLE  ALT=\"t%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F48 ALIGN=MIDDLE  ALT=\"t%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F72 ALIGN=MIDDLE  ALT=\"t%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F96 ALIGN=MIDDLE  ALT=\"t%2F96\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "The common denominator is 288, multiply thru by that, results:<BR>\n" );
document.write( "12t + 6t + 4t + 3t = 288<BR>\n" );
document.write( "25t = 288<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=288%2F25 ALIGN=MIDDLE  ALT=\"288%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 11.52 hrs for all four to complete the task<BR>\n" );
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document.write( "Let's check that to be sure<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11.52%2F24 ALIGN=MIDDLE  ALT=\"11.52%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11.52%2F48 ALIGN=MIDDLE  ALT=\"11.52%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11.52%2F72 ALIGN=MIDDLE  ALT=\"11.52%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11.52%2F96 ALIGN=MIDDLE  ALT=\"11.52%2F96\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( ".48 + .24 + .16 + .12 = 1; confirms our solution of 11.52 hrs<BR>\n" );
document.write( " </SPAN>\n" );
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