document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=357292>Question 357292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Betty and Karen have been hired to paint the house in a new development. Working together the women can paint a house in two-thirds the lime that it takes Karen working alone. Betty takes 6h to paint a house alone. How long does it take Karen to paint a house working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255156 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=255156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Working together the women can paint a house in two-thirds the lime that it takes Karen working alone. Betty takes 6h to paint a house alone. How long does it take Karen to paint a house working alone?<BR>\n" );
document.write( "...<BR>\n" );
document.write( "let karen take x hours to do the job alone.<BR>\n" );
document.write( "so she does 1/x of the job in  1 hour.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Betty takes 6 hours working alone<BR>\n" );
document.write( "so she does 1/6 of the job in 1hour.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Both together they do 1/6 + 1/x of the job in 1 hour<BR>\n" );
document.write( "= (x+6)/6x of the job in 1 hour.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "both together they take 2/3 *x = 2x/3 hours<BR>\n" );
document.write( "or they do 3/2x of the job in 1 hour.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "(x+6)/6x = 3/2x<BR>\n" );
document.write( "2x(x+6)=3x<BR>\n" );
document.write( "2x^2+12x=18x<BR>\n" );
document.write( "2x^2= 6x<BR>\n" );
document.write( "divide by 2x<BR>\n" );
document.write( "x= 3 <BR>\n" );
document.write( "Karen takes 3 hours to do the job alone.<BR>\n" );
document.write( "....<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
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