document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184361>Question 1184361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jack, Kay, and Lynn deliver advertising flyers in a small town. If each person works alone, it takes Jack 2 hours to deliver all the flyers, and it takes Lynn 5 hours longer than Kay. Working together, they can deliver all the flyers in 60% of the time it takes Kay working alone. How long does it take Kay to deliver all the flyers alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815024 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=815024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jack, Kay, and Lynn deliver advertising flyers in a small town.<BR>\n" );
document.write( " If each person works alone, it takes Jack 2 hours to deliver all the flyers, and it takes Lynn 5 hours longer than Kay. <BR>\n" );
document.write( " Working together, they can deliver all the flyers in 60% of the time it takes Kay working alone.<BR>\n" );
document.write( " How long does it take Kay to deliver all the flyers alone?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let x = time required by K working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( ".6x = time required all working together<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(x+5) = time required by Lynn alone<BR>\n" );
document.write( "also<BR>\n" );
document.write( " 2 hrs = Jack's time alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "jack + Kay + Lynn = completed job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.6x%29%2F2 ALIGN=MIDDLE  ALT=\"%28.6x%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.6x%29%2Fx ALIGN=MIDDLE  ALT=\"%28.6x%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.6x%29%2F%28x%2B5%29 ALIGN=MIDDLE  ALT=\"%28.6x%29%2F%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 2x(x+5)<BR>\n" );
document.write( ".6x(x(x+5) + .6x(2(x+5) + .6x(2x) = 2x(x+5)<BR>\n" );
document.write( ".6x^2(x+5) + 1.2x(x+5) + 1.2x^2 = 2x^2 + 10x<BR>\n" );
document.write( "divide thru by x<BR>\n" );
document.write( ".6x(x+5) + 1.2(x+5) + 1.2x = 2x + 10<BR>\n" );
document.write( ".6x^2 + 3x + 1.2x + 6 + 1.2x - 2x = 10<BR>\n" );
document.write( ".6x^2 + 3.4x = 10 - 6<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( ".6x^2 + 3.4x - 4 = <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using the quadratic formula a=.6, b=3.4, b=-4<BR>\n" );
document.write( "x=1 is the positive solution<BR>\n" );
document.write( "Kay works 1 hr alone to complete the job </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );