document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203092>Question 203092</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jeff takes 5 hr longer to build a fence than it takes Bill. When they work together, it takes them 6 hours? How long would it take Bill to do the job alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153224 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153224\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x=\"Bill's time\", so x+5=\"Jeff's time\"\r<BR>\n" );
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document.write( "if it takes h hours to complete a task; then in one hour, 1/h is the fraction of the task completed<BR>\n" );
document.write( "___ all of the fractions sum to 1, the whole task\r<BR>\n" );
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document.write( "(6 / x) + (6 / (x+5)) = 1\r<BR>\n" );
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document.write( "multiplying by x(x+5) ___ 6x + 30 + 6x = x^2 + 5x ___ 0 = x^2 - 7x - 30\r<BR>\n" );
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document.write( "factoring ___ 0 = (x - 10)(x + 3)\r<BR>\n" );
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document.write( "so, x = 10 (Bill) </SPAN>\n" );
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