document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=382486>Question 382486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> tim and brad are building a racecar.tim can build the car in 2 months less time than brad.together they can do the job in 7 months.how long will it take each of them if they work alone? give your answer to the nearest tenth...I would just like help setting this problem up to solve please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271052 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=271052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> tim and brad are building a racecar.tim can build the car in 2 months less time than brad.together they can do the job in 7 months.how long will it take each of them if they work alone? give your answer to the nearest tenth...<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "brad time = x months<BR>\n" );
document.write( "tim time = x-2 months<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "brad rate = 1/x job/month<BR>\n" );
document.write( "tim rate = 1/(x-2) job/month<BR>\n" );
document.write( "together rate = 1/7 job/month<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x-2) = 1/7<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"x\" and \"x-2\".<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Multiply thru by 7x(x-2) to get:<BR>\n" );
document.write( "7(x-2)+7x = x(x-2)<BR>\n" );
document.write( "7x-14 = x^2-2x<BR>\n" );
document.write( "x^2-9x+14 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(x-2)(x-14) = 0<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Only usable solution:<BR>\n" );
document.write( "x = 14 months (Time for \"brad\".)<BR>\n" );
document.write( "x-2 = 12 months (Time for \"tim\".)<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );