document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318665>Question 318665</A>: <I><SPAN STYLE=\"word-break: break-all;\"> word problem from chapter on quadratic equations: Pipe A can fill a tank in 4 hrs.  If pipe B works alone, it takes 3 hrs longer to fill the tank than if both pipes work together.  How long will it take for pipe B to fill the tank if it works alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228288 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=228288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Pipe A can fill a tank in 4 hrs. If pipe B works alone,<BR>\n" );
document.write( " it takes 3 hrs longer to fill the tank than if both pipes work together.<BR>\n" );
document.write( " How long will it take for pipe B to fill the tank if it works alone?<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Let b = time required by pipe B working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(b-3) = time required when A & B are working together<BR>\n" );
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document.write( "Let the completed job = 1 (a full tank)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28b-3%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28%28b-3%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28b-3%29%29%2Fb ALIGN=MIDDLE  ALT=\"%28%28b-3%29%29%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 4b, results:<BR>\n" );
document.write( "b(b-3) + 4(b-3) = 4b<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b^2 - 3b + 4b - 12 = 4b<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "b^2 - 3b + 4b - 4b - 12 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b^2 - 3b - 12 = 0<BR>\n" );
document.write( "Use the quadratic formula to find b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "in this equation, x=b; a=1; b=-3; c=-12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%28-%28-3%29+%2B-+sqrt%28-3%5E2-4%2A1%2A-12%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"b+=+%28-%28-3%29+%2B-+sqrt%28-3%5E2-4%2A1%2A-12%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%283+%2B-+sqrt%289+-%28-48%29%29%29%2F2+ ALIGN=MIDDLE  ALT=\"b+=+%283+%2B-+sqrt%289+-%28-48%29%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%283+%2B-+sqrt%2857%29%29%2F2+ ALIGN=MIDDLE  ALT=\"b+=+%283+%2B-+sqrt%2857%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the positive solution is what we want here<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%283+%2B+7.55%29%2F2+ ALIGN=MIDDLE  ALT=\"b+=+%283+%2B+7.55%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.55%2F2 ALIGN=MIDDLE  ALT=\"10.55%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 5.275 hrs is the time for B to fill the pool alone<BR>\n" );
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document.write( ":<BR>\n" );
document.write( "see if that's true, (2.275 hrs for both working together)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.275%2F4 ALIGN=MIDDLE  ALT=\"2.275%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.275%2F5.275 ALIGN=MIDDLE  ALT=\"2.275%2F5.275\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( ".56875 +  .43128 = 1.000; confirms our solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );