document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384360>Question 384360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> together it takes john and carl 6hours and 25 minutes to sort recycyle material.  Alone, John would require 6 more hours than carl.  how long would it take carl to do the job alone?<BR>\n" );
document.write( "(x+6) John<BR>\n" );
document.write( "x carl<BR>\n" );
document.write( "385 is 6 hours & 25 min converted to minutes<BR>\n" );
document.write( "1/(x+6) + 1/x = 385<BR>\n" );
document.write( "LCD is 385x(x+6)<BR>\n" );
document.write( "385x +385x + 2310=385x^2+2310x<BR>\n" );
document.write( "770x+2310=385x^2+2310x\r<BR>\n" );
document.write( "\n" );
document.write( "how do i foil or what next???<BR>\n" );
document.write( "=385x^2-1540x-2310  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #272105 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=272105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> together it takes john and carl 6hours and 25 minutes to sort recycyle material.  Alone, John would require 6 more hours than carl.  how long would it take carl to do the job alone?\r<BR>\n" );
document.write( "\n" );
document.write( "...<BR>\n" );
document.write( "(Please note either you do the working in minutes or hours. not both)I have converted 6 hours 25 minutes to hours 6 5/12= 77/12<BR>\n" );
document.write( "carl x hours<BR>\n" );
document.write( "so he does 1/x of the job in 1 hour<BR>\n" );
document.write( "..<BR>\n" );
document.write( "John = x+6 hours<BR>\n" );
document.write( "so he does 1/(x+6)of the job in 1 hour<BR>\n" );
document.write( "..<BR>\n" );
document.write( "together they will do 1/x + 1/(x+6) job in 1 hour<BR>\n" );
document.write( "=x+6+x/(x(x+6))<BR>\n" );
document.write( "=(2x+6)/(x^2+6x) of the job in 1 hour<BR>\n" );
document.write( "...<BR>\n" );
document.write( "they will take (x^2+6x) /(2x+6) hours together to do the job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B6x%29+%2F%282x%2B6%29=+77%2F12 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B6x%29+%2F%282x%2B6%29=+77%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "12(x^2+6x)=77(2x+6)<BR>\n" );
document.write( "12x^2+72x=154x+462<BR>\n" );
document.write( "12x^2+72x-154x-462=<BR>\n" );
document.write( "12x^2-82x-462=0<BR>\n" );
document.write( "/2<BR>\n" );
document.write( "6x^2-41x-231=0<BR>\n" );
document.write( "solve for x using quadratic formula<BR>\n" );
document.write( "discriminant =7225<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%2829%2Bsqrt%287225%29%29%2F%2812%29 ALIGN=MIDDLE  ALT=\"x1=%2829%2Bsqrt%287225%29%29%2F%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x1=10.50 hours <BR>\n" );
document.write( "Carl takes 10.50 hours to complete the job alone<BR>\n" );
document.write( "x2 will be negative so ignored.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );