document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388532>Question 388532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> working together , two people can cut a large lawn in 5 hours. One person can do the job alone in 2 hours les than the other. how long would it take the fastest person to do the job? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274893 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=274893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> working together , two people can cut a large lawn in 5 hours. One person can do the job alone in 2 hours les than the other. how long would it take the fastest person to do the job?<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Two people  5 hours<BR>\n" );
document.write( "1/5 of job they do in 1 hour.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "let one of them take 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( "the other takes 2 hours less than the first = x-2 hours.<BR>\n" );
document.write( "so he can do 1/(x-2) of the job in 1 hour.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "1/x + 1/(x-2)= 1/5<BR>\n" );
document.write( "LCD = x(x-2)<BR>\n" );
document.write( "multiply by x(x-2)<BR>\n" );
document.write( "(x-2+x)/x(x-2)=1/5<BR>\n" );
document.write( "2(x-1)/x(x-2)=1/5<BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "10(x-1)=x(x-2)<BR>\n" );
document.write( "10x-10=x^2-2x<BR>\n" );
document.write( "x^2-12x+10<BR>\n" );
document.write( "solve using quadratic formula<BR>\n" );
document.write( "b^2-4ac= 104<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%2812%2Bsqrt%28104%29%29%2F2 ALIGN=MIDDLE  ALT=\"x1=%2812%2Bsqrt%28104%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x1= 11.09 hours<BR>\n" );
document.write( "the faster person will take 9.09 hours to do the job alone<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );