document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=351037>Question 351037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A roofer and his assistant working together can finish a roofing job in 4 hours. The roofer working alone could finish the job in 6 hours less than the assistant working alone. How long would it take the assistant 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 #250919 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=250919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=roofer's time and x+6 the assistants time to do the job.<BR>\n" );
document.write( "In an hr roofer can do 1/x of the job and the asst. 1/(x+6) of the job.<BR>\n" );
document.write( "1/x + 1/x+6 = 1/4<BR>\n" );
document.write( "4(x+6)+4x=x(x+6) multiply each side by 4x(x+6)<BR>\n" );
document.write( "4x+24+4x=x^2+6x<BR>\n" );
document.write( "x^2-2x-24=0<BR>\n" );
document.write( "(x-6)(x+4)=0<BR>\n" );
document.write( "x=6 hrs<BR>\n" );
document.write( "x+6=12 hrs the assistant working alone.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
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