document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=707434>Question 707434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dale and Roger complete a job in 6 hours. It would take Dale 9 hours longer than Roger to do the job alone. How long would it take Roger alone? my teacher got 9hours but im not getting 9hrs. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435699 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=435699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = time it takes for Roger to do the job alone\r<BR>\n" );
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document.write( "So x+9 = time it takes for Dale to do the job alone\r<BR>\n" );
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document.write( "1/x + 1/(x+9) = 1/6\r<BR>\n" );
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document.write( "x+9/(x(x+9)) + x/(x(x+9)) = 1/6\r<BR>\n" );
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document.write( "(x+9 + x)/(x(x+9)) = 1/6\r<BR>\n" );
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document.write( "(2x+9)/(x(x+9)) = 1/6\r<BR>\n" );
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document.write( "6(2x+9) = 1*x(x+9)\r<BR>\n" );
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document.write( "12x + 54 = x^2 + 9x\r<BR>\n" );
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document.write( "0 = x^2 + 9x - 12x - 54\r<BR>\n" );
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document.write( "x^2 - 3x - 54 = 0\r<BR>\n" );
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document.write( "(x - 9)(x + 6) = 0\r<BR>\n" );
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document.write( "x-9 = 0 or x+6 = 0\r<BR>\n" );
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document.write( "x = 9 or x = -6\r<BR>\n" );
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document.write( "Ignore the negative answer.\r<BR>\n" );
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document.write( "So Roger can do the job in 9 hours if he does it alone\r<BR>\n" );
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document.write( "Dale can do the job in 18 hours if he does it alone<BR>\n" );
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