document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=910353>Question 910353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Together John and Michael can paint a wall in 31 minutes. Alone John needs 11 minutes longer to paint the wall than Michael needs. How much time does John need to paint the wall by himself? Give your answer to the nearest tenth of a minute. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #552453 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=552453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/x+1/(x+11)=1/31<BR>\n" );
document.write( "(31*x*(x+11))/x+(31*x*(x+11))/(x+11)=(31*x*(x+11))/31<BR>\n" );
document.write( "(31*(x+11))+31*x=x*(x+11)<BR>\n" );
document.write( "31*x+341+31*x=x^2+11*x<BR>\n" );
document.write( "62*x+341=x^2+11*x<BR>\n" );
document.write( "x^2-51*x-341=0<BR>\n" );
document.write( "Can it be factored?<BR>\n" );
document.write( "What factors of -341 add up to -51?<BR>\n" );
document.write( "Nevertheless, we will complete the square<BR>\n" );
document.write( "x^2-51*x=341<BR>\n" );
document.write( "Add it.<BR>\n" );
document.write( "x^2-51*x+(-51/2)=341+(-51/2)<BR>\n" );
document.write( "Square it.<BR>\n" );
document.write( "x^2-51*x+(2601/4)=341+(2601/4)<BR>\n" );
document.write( "x^2-51*x+(650.25)=341+(650.25)<BR>\n" );
document.write( "x^2-51*x+(650.25)=991.25<BR>\n" );
document.write( "(x-25.5)^2=991.25<BR>\n" );
document.write( "(x-25.5)^2=991.25<BR>\n" );
document.write( "We will continue.<BR>\n" );
document.write( "x+-25.5=(+-)31.484123<BR>\n" );
document.write( "x=25.5(+-)31.484123<BR>\n" );
document.write( "Positive useful answer:<BR>\n" );
document.write( "x=25.5+31.484123<BR>\n" );
document.write( "One worker is x=56.984123 Michael rounded 57<BR>\n" );
document.write( "x+11=11+56.984123<BR>\n" );
document.write( "x+11=67.984123<BR>\n" );
document.write( "Other worker =67.984123 John rounded 68<BR>\n" );
document.write( "check<BR>\n" );
document.write( "1/x+1/(x+11)=1/31<BR>\n" );
document.write( "1/56.984123+1/(56.984123+11)=1/31<BR>\n" );
document.write( "1/56.984123+1/67.984123=1/31<BR>\n" );
document.write( "0.17548748e-1+0.14709317e-1=0.32258065e-1<BR>\n" );
document.write( "0.32258065e-1=0.32258065e-1<BR>\n" );
document.write( "ok\r<BR>\n" );
document.write( "\n" );
document.write( "Useless answer:<BR>\n" );
document.write( "x=25.5-31.484123<BR>\n" );
document.write( "Useless answer is x=-5.98412298<BR>\n" );
document.write( " x =-5.98412298<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 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );