document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=573666>Question 573666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tank can be filled using hose A alone in 3 hours, using hoses A and B together in 72 minutes, and using hoses A, B and C together in 40 minutes. How many minutes will it take to fill the same tank using only hose C?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368853 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=368853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A tank can be filled using hose A alone in 3 hours, using hoses A and B together in 72 minutes, and using hoses A, B and C together in 40 minutes.<BR>\n" );
document.write( " How many minutes will it take to fill the same tank using only hose C?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find how long for B to fill it alone<BR>\n" );
document.write( "Let a full tank = 1<BR>\n" );
document.write( "Convert 3 hrs to 180 min<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%2F180 ALIGN=MIDDLE  ALT=\"72%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%2FB ALIGN=MIDDLE  ALT=\"72%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 180B, results<BR>\n" );
document.write( "72B + 180(72) = 180B<BR>\n" );
document.write( "12960 = 180B - 72B<BR>\n" );
document.write( "12960 = 108B<BR>\n" );
document.write( "B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12960%2F108 ALIGN=MIDDLE  ALT=\"12960%2F108\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B = 120 minutes, B alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find C<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F180 ALIGN=MIDDLE  ALT=\"40%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F120 ALIGN=MIDDLE  ALT=\"40%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2FC ALIGN=MIDDLE  ALT=\"40%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 360C, results:<BR>\n" );
document.write( "2C(40) + 3C(40) + 360(40) = 360C<BR>\n" );
document.write( "80C + 120C + 14400 = 360C<BR>\n" );
document.write( "14400 = 360C - 200C <BR>\n" );
document.write( "14400 = 160C<BR>\n" );
document.write( "C = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14400%2F160 ALIGN=MIDDLE  ALT=\"14400%2F160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C = 90 minutes for C alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check that using decimals<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F180 ALIGN=MIDDLE  ALT=\"40%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F120 ALIGN=MIDDLE  ALT=\"40%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F90 ALIGN=MIDDLE  ALT=\"40%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".22 + .33 + .44 = .99 ~ 1 a full tank </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );