document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914924>Question 914924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jenny can cut and split a cord of firewood in 3 fewer hours than Tim can. When they work together it takes them 2 hours. How long would it take each of them 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 #555370 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=555370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/x+1/(x+3)=1/2<BR>\n" );
document.write( "(2*x*(x+3))/x+(2*x*(x+3))/(x+3)=(2*x*(x+3))/2<BR>\n" );
document.write( "(2*(x+3))+2*x=x*(x+3)<BR>\n" );
document.write( "2*x+6+2*x=x^2+3*x<BR>\n" );
document.write( "4*x+6=x^2+3*x<BR>\n" );
document.write( "x^2-1*x-6=0<BR>\n" );
document.write( "Can it be factored?<BR>\n" );
document.write( "What factors of -6 add up to -1?<BR>\n" );
document.write( "Nevertheless, we will complete the square<BR>\n" );
document.write( "x^2-1*x=6<BR>\n" );
document.write( "Add it.<BR>\n" );
document.write( "x^2-1*x+(-1/2)=6+(-1/2)<BR>\n" );
document.write( "Square it.<BR>\n" );
document.write( "x^2-1*x+(1/4)=6+(1/4)<BR>\n" );
document.write( "x^2-1*x+(0.25)=6+(0.25)<BR>\n" );
document.write( "x^2-1*x+(0.25)=6.25<BR>\n" );
document.write( "(x-0.5)^2=6.25<BR>\n" );
document.write( "(x-0.5)^2=6.25<BR>\n" );
document.write( "We will continue.<BR>\n" );
document.write( "x+-0.5=(+-)2.5<BR>\n" );
document.write( "x=0.5(+-)2.5<BR>\n" );
document.write( "Positive useful answer:<BR>\n" );
document.write( "x=0.5+2.5<BR>\n" );
document.write( "One worker is x=3<BR>\n" );
document.write( "x+3=3+3<BR>\n" );
document.write( "x+3=6<BR>\n" );
document.write( "Other worker =6<BR>\n" );
document.write( "check<BR>\n" );
document.write( "1/x+1/(x+3)=1/2<BR>\n" );
document.write( "1/3+1/(3+3)=1/2<BR>\n" );
document.write( "1/3+1/6=1/2<BR>\n" );
document.write( "6/18+3/18=1/2<BR>\n" );
document.write( "9/18=1/2<BR>\n" );
document.write( "0.5=0.5<BR>\n" );
document.write( "ok\r<BR>\n" );
document.write( "\n" );
document.write( "Useless answer:<BR>\n" );
document.write( "x=0.5-2.5<BR>\n" );
document.write( "Useless answer is x=-2.0<BR>\n" );
document.write( " x =-2.0<BR>\n" );
document.write( " This answer is useless because it is Negative<BR>\n" );
document.write( "For real life cases involving time, distance and other measurements, we reject the negative results<BR>\n" );
document.write( "codewtp<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );