document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=241501>Question 241501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A swimming pool holds 600 cubic meters of water. It can be drained at the rate of 9 minutes faster than it can be filled. If it takes half an hour to fill it than to drain it, find the drainage rate. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176997 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=176997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A swimming pool holds 600 cubic meters of water.<BR>\n" );
document.write( " It can be drained at the rate of 9 minutes faster than it can be filled.<BR>\n" );
document.write( " If it takes half an hour to fill it than to drain it, find the drainage rate.<BR>\n" );
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document.write( "I couldn't make any sense of this problems until I add \"gal/min\" so it reads:<BR>\n" );
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document.write( "A swimming pool holds 600 cubic meters of water.<BR>\n" );
document.write( " It can be drained at the rate of 9 gal/min faster than it can be filled.<BR>\n" );
document.write( " If it takes a half an hour more to fill it than to drain it, find the drainage rate.<BR>\n" );
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document.write( "Let r = rate in gal/min to drain it<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(r-9) = rate in gal/min to fill it<BR>\n" );
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document.write( "Fill time - drain time = half-hour<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F%28r-9%29 ALIGN=MIDDLE  ALT=\"600%2F%28r-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2Fr ALIGN=MIDDLE  ALT=\"600%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 30 min<BR>\n" );
document.write( "Multiply equation by r(r-9), results<BR>\n" );
document.write( "600r - 600(r-9) = 30r(r-9)<BR>\n" );
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document.write( "600r - 600r + 5400 = 30r^2 - 270r<BR>\n" );
document.write( "Arrange as quadratic equation<BR>\n" );
document.write( "30r^2 - 270r - 5400 = 0<BR>\n" );
document.write( "Simplify, divide by 30<BR>\n" );
document.write( "r^2 - 9r - 180 = 0<BR>\n" );
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document.write( "Use the quadratic formula to find r: a=1; b=-9; c= -180<BR>\n" );
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document.write( "The positive solution<BR>\n" );
document.write( "r = 18.651 gal/min to drain it<BR>\n" );
document.write( ";<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F9.651 ALIGN=MIDDLE  ALT=\"600%2F9.651\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F18.651 ALIGN=MIDDLE  ALT=\"600%2F18.651\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "62.17 - 32.17 = 30 minutes </SPAN>\n" );
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