document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272384>Question 272384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Working together, Ethel, Beryl, and Cora can dig a drainage ditch in 3.5 hours. Working alone, Coral can do it in 10 hours, while Ethel can do it 2 hours faster than Beryl. How long will it take Beryl to dig the ditch by herself? (Round your answer to two decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199284 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=199284\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Working together, Ethel, Beryl, and Cora can dig a drainage ditch in 3.5 hours.<BR>\n" );
document.write( " Working alone, Coral can do it in 10 hours, while Ethel can do it 2 hours faster than Beryl.<BR>\n" );
document.write( " How long will it take Beryl to dig the ditch by herself? (Round your answer to two decimal places.)<BR>\n" );
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document.write( "Let e = E digging alone<BR>\n" );
document.write( "Let b = B alone<BR>\n" );
document.write( "Let c = C alone<BR>\n" );
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document.write( "let the completed job = 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2Fe ALIGN=MIDDLE  ALT=\"3.5%2Fe\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2Fb ALIGN=MIDDLE  ALT=\"3.5%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2Fc ALIGN=MIDDLE  ALT=\"3.5%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "It says c can do it in 10 hrs, so we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2Fe ALIGN=MIDDLE  ALT=\"3.5%2Fe\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2Fb ALIGN=MIDDLE  ALT=\"3.5%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2F10 ALIGN=MIDDLE  ALT=\"3.5%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "It also says e = (b-2), so we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2F%28b-2%29 ALIGN=MIDDLE  ALT=\"3.5%2F%28b-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2Fb ALIGN=MIDDLE  ALT=\"3.5%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2F10 ALIGN=MIDDLE  ALT=\"3.5%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2F%28b-2%29 ALIGN=MIDDLE  ALT=\"3.5%2F%28b-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2Fb ALIGN=MIDDLE  ALT=\"3.5%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > + .35 = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2F%28b-2%29 ALIGN=MIDDLE  ALT=\"3.5%2F%28b-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2Fb ALIGN=MIDDLE  ALT=\"3.5%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 - .35<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2F%28b-2%29 ALIGN=MIDDLE  ALT=\"3.5%2F%28b-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5%2Fb ALIGN=MIDDLE  ALT=\"3.5%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > =.65<BR>\n" );
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document.write( "Multiply equation by: b(b-2); results:<BR>\n" );
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document.write( "b(3.5) + 3.5(b-2)  = .65b(b-2)<BR>\n" );
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document.write( "3.5b + 3.5b - 7  = .65b^2 - 1.3b<BR>\n" );
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document.write( "7b - 7 = .65b^2 - 1.3b<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( ".65b^2 - 1.3b - 7b + 7 = 0<BR>\n" );
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document.write( ".65b^2 - 8.3b + 7 = 0<BR>\n" );
document.write( "Solve this using the quadratic equation (a=.65, b=-8.3, c=7)<BR>\n" );
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document.write( "the solution that makes sense: b = 11.86 hrs, B working alone </SPAN>\n" );
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