document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122892>Question 1122892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ben finish a job 2 hours longer than Daniel. After Ben had been working for 1 hour Daniel joined him and they completed the remaining portion of the job for 3 hours. How long would it take Ben 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 #739070 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=739070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ben finish a job 2 hours longer than Daniel.<BR>\n" );
document.write( " After Ben had been working for 1 hour Daniel joined him and they completed the remaining portion of the job for 3 hours.<BR>\n" );
document.write( " How long would it take Ben to do the job?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "d = time required by Daniel to complete the job<BR>\n" );
document.write( "\"Ben finish a job 2 hours longer than Daniel.\" <BR>\n" );
document.write( "(d+2) = time required by Ben <BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "After Ben had been working for 1 hour Daniel joined him and they completed the remaining portion of the job for 3 hours. \"<BR>\n" );
document.write( "Ben worked 4 hrs, Daniel worked 3 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28%28d%2B2%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28%28d%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fd ALIGN=MIDDLE  ALT=\"3%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by d(d+2)<BR>\n" );
document.write( "4d + 3(d+2) = d(d+2)<BR>\n" );
document.write( "4d + 3d + 6 = d^2 + 2d<BR>\n" );
document.write( "7d + 6 = d^2 + 2d<BR>\n" );
document.write( "form a quadratic equation on the right<BR>\n" );
document.write( "0 = d^2 + 2d - 7d - 6<BR>\n" );
document.write( "d^2 - 5d - 6 = 0<BR>\n" );
document.write( "Factors to <BR>\n" );
document.write( "(d-6)(d+1) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "d = 6 hrs Daniel working time alone<BR>\n" );
document.write( "and obviously<BR>\n" );
document.write( "8 hrs Ben working alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "check<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F8 ALIGN=MIDDLE  ALT=\"4%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F6 ALIGN=MIDDLE  ALT=\"3%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );