document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331214>Question 331214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small swimming pool can be filled with two pipes in three hours. If the larger pipe takes eight hours less to fill the pool, find the time in which it will be filled by each pipe singly </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237536 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=237536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A small swimming pool can be filled with two pipes in three hours.<BR>\n" );
document.write( " If the larger pipe takes eight hours less to fill the pool, find the time in<BR>\n" );
document.write( " which it will be filled by each pipe singly<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = time required by the large pipe alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+8) = time required by the small pipe alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1;  (a full pool)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28%28x%2B8%29%29 ALIGN=MIDDLE  ALT=\"3%2F%28%28x%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fx ALIGN=MIDDLE  ALT=\"3%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by x(x+8), results<BR>\n" );
document.write( "3x + 3(x+8) = x(x+8)<BR>\n" );
document.write( "3x + 3x + 24 = x^2 + 8x<BR>\n" );
document.write( "Arrange as quadratic equation<BR>\n" );
document.write( "0 = x^2 + 8x - 6x - 24 <BR>\n" );
document.write( "x^2 + 2x - 24 = 0<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "(x+6)(x-4) = 0<BR>\n" );
document.write( "Positive solution<BR>\n" );
document.write( "x = 4 hrs, the large pipe alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4 + 8 = 12 hrs, the small pipe alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F12 ALIGN=MIDDLE  ALT=\"3%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1; confirms our solution<BR>\n" );
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