document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240503>Question 240503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If three pipes are all opened, they can fill an empty swimming pool in 3 hours. The largest pipe alone takes 1/3 the time that the smallest pipe takes and half the time the other pipe takes. How long would it take each pipe to fill the pool by itself? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176239 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=176239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If three pipes are all opened, they can fill an empty swimming pool in 3 hours.<BR>\n" );
document.write( " The largest pipe alone takes 1/3 the time that the smallest pipe takes and half the time the other pipe takes.<BR>\n" );
document.write( " How long would it take each pipe to fill the pool by itself?<BR>\n" );
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document.write( "To avoid those annoying fractions, do it like this<BR>\n" );
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document.write( "Let t = time required by the largest pipe alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3t = time of the smallest<BR>\n" );
document.write( "and<BR>\n" );
document.write( "2t = time of the other pipe<BR>\n" );
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document.write( "Let the completed job = 1 (a full pool)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ft ALIGN=MIDDLE  ALT=\"3%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%283t%29 ALIGN=MIDDLE  ALT=\"3%2F%283t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%282t%29 ALIGN=MIDDLE  ALT=\"3%2F%282t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 6t, results<BR>\n" );
document.write( "6(3) + 2(3) + 3(3) = 6t<BR>\n" );
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document.write( "18 + 6 + 9 = 6t<BR>\n" );
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document.write( "33 = 6t<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33%2F6 ALIGN=MIDDLE  ALT=\"33%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t - 5.5 hrs time of the largest pipe alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3(5.5) = 16.5 hrs time of the smallest pipe<BR>\n" );
document.write( "and<BR>\n" );
document.write( "2(5.5) = 11 hrs time of the other pipe<BR>\n" );
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document.write( "Check solution in the original equation, using a calc:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5.5 ALIGN=MIDDLE  ALT=\"3%2F5.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%2816.5%29 ALIGN=MIDDLE  ALT=\"3%2F%2816.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%2811%29 ALIGN=MIDDLE  ALT=\"3%2F%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".545 + .182 + .273 = .9997 ~ 1 </SPAN>\n" );
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