document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=343393>Question 343393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> IT CAN TAKE 12 HOURS TO FILL A SWIMMING POOL USING 2 PIPES.IF THE PIPE OF LARGER DIAMETER IS USED FOR 4 HOURS,THE PIPE OF SMALLER DIAMETER IS USED FOR 9 HOURS,ONLY HALF OF THE POOL CAN BE FILLED.HOW LONG WOULD IT TAKE FOR EACH PIPE TO FILL THE POOL SEPERATELY? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245839 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=245839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> IT CAN TAKE 12 HOURS TO FILL A SWIMMING POOL USING 2 PIPES.<BR>\n" );
document.write( "IF THE PIPE OF LARGER DIAMETER IS USED FOR 4 HOURS,THE PIPE OF SMALLER<BR>\n" );
document.write( " DIAMETER IS USED FOR 9 HOURS, ONLY HALF OF THE POOL CAN BE FILLED.<BR>\n" );
document.write( "HOW LONG WOULD IT TAKE FOR EACH PIPE TO FILL THE POOL SEPARATELY?<BR>\n" );
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document.write( "Let a = larger pipe time to fill the pool by itself<BR>\n" );
document.write( "Let b = smaller pipe time to fill it<BR>\n" );
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document.write( "Let a full pool = 1<BR>\n" );
document.write( "then<BR>\n" );
document.write( "half full pool = .5<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"It can take 12 hr to fill a swimming pool using 2 pipes\"<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;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"If the larger pipe is used for 4 hrs and the smaller pipe for 9 hrs, only half<BR>\n" );
document.write( "the pool will be filled\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fa ALIGN=MIDDLE  ALT=\"4%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fb ALIGN=MIDDLE  ALT=\"9%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .5<BR>\n" );
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document.write( "Use elimination, multiply the above equation by 3, subtract the 1st equation<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=27%2Fb ALIGN=MIDDLE  ALT=\"27%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.5<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;\" > = 1<BR>\n" );
document.write( "------------------------------subtraction eliminates a find b<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;\" > = .5<BR>\n" );
document.write( "15 = .5b<BR>\n" );
document.write( "b = 30 hrs for the small pipe alone<BR>\n" );
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document.write( "Find a using the 1st equation<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%2F30 ALIGN=MIDDLE  ALT=\"12%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 30a<BR>\n" );
document.write( "30(12) + 12a = 30a<BR>\n" );
document.write( "360 = 30a - 12a<BR>\n" );
document.write( "360 = 18a<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F18 ALIGN=MIDDLE  ALT=\"360%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 20 hrs for the large pipe alone<BR>\n" );
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document.write( "Confirm this in the 2nd equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F20 ALIGN=MIDDLE  ALT=\"4%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F30 ALIGN=MIDDLE  ALT=\"9%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( ".2 + .3 = .5<BR>\n" );
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document.write( "Summarize: the large pipe requires 20 hr alone, the small pipe 30 hrs alone </SPAN>\n" );
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