document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550223>Question 550223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> out of four pipes when 1,2,3 pipes are opened tank filled in 12 minutes; when 2,3,4 pipes opened time taken is 15 minutes;when 1 and 4 are opened it taken 20 minutes. How much time will take when all the four pipes are opened?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358795 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=358795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> out of four pipes when 1,2,3 pipes are opened tank filled in 12 minutes;<BR>\n" );
document.write( " when 2,3,4 pipes opened time taken is 15 minutes;<BR>\n" );
document.write( "when 1 and 4 are opened it taken 20 minutes.<BR>\n" );
document.write( " How much time will it take when all the four pipes are opened?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the 4 pipes be: a, b, c, d<BR>\n" );
document.write( "Let a full tank = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"1,2,3 pipes are opened tank filled in 12 minutes\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fa ALIGN=MIDDLE  ALT=\"12%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fb ALIGN=MIDDLE  ALT=\"12%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fc ALIGN=MIDDLE  ALT=\"12%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"2,3,4 pipes are opened tank filled in 15 minutes\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Fb ALIGN=MIDDLE  ALT=\"15%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Fc ALIGN=MIDDLE  ALT=\"15%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > +  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Fd ALIGN=MIDDLE  ALT=\"15%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the 1st equation by 5, the 2nd equation by 4, results<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fa ALIGN=MIDDLE  ALT=\"60%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fb ALIGN=MIDDLE  ALT=\"60%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fc ALIGN=MIDDLE  ALT=\"60%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fd ALIGN=MIDDLE  ALT=\"60%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fb ALIGN=MIDDLE  ALT=\"60%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fc ALIGN=MIDDLE  ALT=\"60%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "-------------------------subtraction eliminates b and c<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fa ALIGN=MIDDLE  ALT=\"60%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fd ALIGN=MIDDLE  ALT=\"60%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "then<BR>\n" );
document.write( "\"1,4 pipes are opened tank filled in 20 minutes\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fa ALIGN=MIDDLE  ALT=\"20%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fd ALIGN=MIDDLE  ALT=\"20%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = 1<BR>\n" );
document.write( "multiply this equation by 3<BR>\n" );
document.write( "add to the above equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fa ALIGN=MIDDLE  ALT=\"60%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fd ALIGN=MIDDLE  ALT=\"60%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fa ALIGN=MIDDLE  ALT=\"60%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fd ALIGN=MIDDLE  ALT=\"60%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "-----------------------adding eliminates d find a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2Fa ALIGN=MIDDLE  ALT=\"120%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "4a = 120<BR>\n" );
document.write( "a = 120/4<BR>\n" );
document.write( "a = 30 min when the pipe 1 fills it alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F30 ALIGN=MIDDLE  ALT=\"20%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fd ALIGN=MIDDLE  ALT=\"20%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fd ALIGN=MIDDLE  ALT=\"20%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fd ALIGN=MIDDLE  ALT=\"20%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <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;\" ><BR>\n" );
document.write( "d = 3*20<BR>\n" );
document.write( "d = 60 min when pipe 4 fills it alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let's treat pipes 2&3 as a single pipe, call it bc<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F30 ALIGN=MIDDLE  ALT=\"12%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28bc%29 ALIGN=MIDDLE  ALT=\"12%2F%28bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ".4 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28bc%29 ALIGN=MIDDLE  ALT=\"12%2F%28bc%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=12%2F%28bc%29 ALIGN=MIDDLE  ALT=\"12%2F%28bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 - .4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28bc%29 ALIGN=MIDDLE  ALT=\"12%2F%28bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .6<BR>\n" );
document.write( ".6bc = 12<BR>\n" );
document.write( "bc = 12/.6<BR>\n" );
document.write( "bc = 20 min pipes 2&3 alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"How much time will it take when all the four pipes are opened?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F30 ALIGN=MIDDLE  ALT=\"t%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F20 ALIGN=MIDDLE  ALT=\"t%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F60 ALIGN=MIDDLE  ALT=\"t%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 60<BR>\n" );
document.write( "2t + 3t + t = 60<BR>\n" );
document.write( "6t = 60 <BR>\n" );
document.write( "t = 10 minutes all pipes together<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "see if this checks out using the 2nd original equation<BR>\n" );
document.write( "\"2,3,4 pipes are opened tank filled in 15 minutes\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F%2820%29 ALIGN=MIDDLE  ALT=\"15%2F%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F60 ALIGN=MIDDLE  ALT=\"15%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".75 + .25 = 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( ": </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );