document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132269>Question 1132269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Phoebe and Karen 2 hours and 40 minutes in making a long gown.working alone Karen would need 4 hours longer than Phoebe to finish the job.How long will each of them to do the job alone?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749243 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=749243\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It takes Phoebe and Karen 2 hours and 40 minutes in making a long gown.<BR>\n" );
document.write( "working alone Karen would need 4 hours longer than Phoebe to finish the job.<BR>\n" );
document.write( "How long will each of them to do the job alone?<BR>\n" );
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document.write( "Change 2 hr 40 min to 2.667 hrs<BR>\n" );
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document.write( "let p = Phoebe's time working alone<BR>\n" );
document.write( "Karen takes 4 hrs longer, therfore<BR>\n" );
document.write( "(p+4) = time required by Karen alone<BR>\n" );
document.write( "Let the complete job = 1<BR>\n" );
document.write( ";<BR>\n" );
document.write( "each will do a fraction of the job, the two fractions add up to 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.667%2Fp ALIGN=MIDDLE  ALT=\"2.667%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.667%2F%28%28p%2B4%29%29 ALIGN=MIDDLE  ALT=\"2.667%2F%28%28p%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by p(p+4), cancel the denominators<BR>\n" );
document.write( "2.667(p+4) + 2.667p = p(p+4)<BR>\n" );
document.write( "2.667p + 10.667 + 2.667p = p^2 + 4p<BR>\n" );
document.write( "5.33p + 10.67 = p^2 + 4p<BR>\n" );
document.write( "arrange as a quadratic equation on the right<BR>\n" );
document.write( "0 = p^2 + 4p - 5.33p - 10.67<BR>\n" );
document.write( "p^2 - 1.33p - 10.67 = 0<BR>\n" );
document.write( "Use the quadratic formula; a=1; b=-1.33; c=-10.67<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "p = 4.0 hrs. for Pheobe alone<BR>\n" );
document.write( "and add 4:<BR>\n" );
document.write( "8 hrs for Karen alone<BR>\n" );
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document.write( "Check using your calc<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.667%2F4 ALIGN=MIDDLE  ALT=\"2.667%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.667%2F8 ALIGN=MIDDLE  ALT=\"2.667%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
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