document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150822>Question 150822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minutes. How long would it take the third pipe alone to fill the tank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110752 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=110752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minutes. How long would it take the third pipe alone to fill the tank?<BR>\n" );
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document.write( "Let x = time (in min) required by the 3rd pipe alone:<BR>\n" );
document.write( "Let the full tank = 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F10 ALIGN=MIDDLE  ALT=\"4%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F15 ALIGN=MIDDLE  ALT=\"4%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx ALIGN=MIDDLE  ALT=\"4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 30x to eliminate the denominators, results<BR>\n" );
document.write( "3x(4) + 2x(4) + 30(4) = 30x<BR>\n" );
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document.write( "12x + 8x + 120 = 30x<BR>\n" );
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document.write( "20x + 120 = 30x<BR>\n" );
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document.write( "120 = 30x - 20x<BR>\n" );
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document.write( "120 = 10x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F10 ALIGN=MIDDLE  ALT=\"120%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 12 min for the third pipe to fill it alone<BR>\n" );
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document.write( "Check solution using a calc<BR>\n" );
document.write( "(4/10) + (4/15) + (4/12) = <BR>\n" );
document.write( " .4 + .267 + .333 = 1<BR>\n" );
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