document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002532>Question 1002532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When workers A and B work together, they can finish the flooring of a house in 6 days.When worker A works alone, he takes 5 days less than worker B to finish the flooring of the house. How many days does worker A and worker B needs to finish the flooring of the house if they work alone?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619404 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=619404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When workers A and B work together, they can finish the flooring of a house in 6 days.When worker A works alone, he takes 5 days less than worker B to finish the flooring of the house. How many days does worker A and worker B needs to finish the flooring of the house if they work alone? <BR>\n" );
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document.write( "Together rate:: 1/6 job/day<BR>\n" );
document.write( "Worker B rate:: 1/x job/day<BR>\n" );
document.write( "Worker A rate:: 1/(x-5) job/day<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x-5) = 1/6<BR>\n" );
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document.write( "6(x-5) + 6x = x(x-5)<BR>\n" );
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document.write( "12x - 30 = x^2 - 5x<BR>\n" );
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document.write( "x^2 -17x + 30 = 0<BR>\n" );
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document.write( "(x-15)(x-2) = 0<BR>\n" );
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document.write( "Realistic answer:<BR>\n" );
document.write( "x = 15<BR>\n" );
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document.write( "B time = x = 15 days to do the job alone<BR>\n" );
document.write( "A time = x-5 = 10 days to do the job alone<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------ </SPAN>\n" );
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