document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=440460>Question 440460</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Joe 2 hours longer than Bill to load a truck. If they load it together, they can do it in 10 hours. How long should it take Bill to do it alone?\r<BR>\n" );
document.write( "\n" );
document.write( "I need to describe the variable, variable phrases, write the equation, and solve. Thank you so much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304269 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=304269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It takes Joe 2 hours longer than Bill to load a truck. If they load it together, they can do it in 10 hours. How long should it take Bill to do it alone? <BR>\n" );
document.write( "I need to describe the variable, variable phrases, write the equation, and solve.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let x=hours Bill could load the truck doing it alone<BR>\n" );
document.write( "Then, 1/x=Bill's hourly work rate<BR>\n" );
document.write( "Joe's hourly work rate=1/x+2<BR>\n" );
document.write( "Hourly work rate working together=1/10<BR>\n" );
document.write( "The sum of individual work rates=work rate when working together<BR>\n" );
document.write( "1/x + 1/x+2 = 1/10<BR>\n" );
document.write( "LCD=x(x+2)(10)<BR>\n" );
document.write( "multiply each term by LCD to get rid of fractions<BR>\n" );
document.write( "10(x+2)+10x=x(x+2)<BR>\n" );
document.write( "10x+20+10x=x^2+2x<BR>\n" );
document.write( "x^2-18x-20=0<BR>\n" );
document.write( "solve by quadratic formula below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=1,  b=-18, c=-20<BR>\n" );
document.write( "x=(-(-18)+-sqrt((-18)^2-4*1*-20))/2(1)<BR>\n" );
document.write( "  =(18+-sqrt(404))/2<BR>\n" );
document.write( "  =(18+-20.1)/2<BR>\n" );
document.write( "x=19.05hrs<BR>\n" );
document.write( "x=-2.1hrs (reject)<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "It would take Bill 19.05 hours to complete loading the truck by himself </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );