document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=567792>Question 567792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student did a word-processing job for $42. It took him 8 hours longer than he expected, and therefore he earned $4 per hour less than he anticipated. How long did he expect that it would take 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 #366710 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=366710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A student did a word-processing job for $42.<BR>\n" );
document.write( " It took him 8 hours longer than he expected, and therefore he earned $4 per hour less than he anticipated.<BR>\n" );
document.write( " How long did he expect that it would take to do the job?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time he expected to do the job<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2Ft ALIGN=MIDDLE  ALT=\"42%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = his expected hourly pay<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let (t+8) = his actual time to do the job<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F%28%28t%2B8%29%29 ALIGN=MIDDLE  ALT=\"42%2F%28%28t%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = his actual hourly pay<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The equation<BR>\n" );
document.write( "expect hrly pay - actual hrly pay = $4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2Ft ALIGN=MIDDLE  ALT=\"42%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F%28%28t%2B8%29%29 ALIGN=MIDDLE  ALT=\"42%2F%28%28t%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "multiply by t(t+8), resulting in:<BR>\n" );
document.write( "42(t+8) - 42t = 4t(t+8)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "42t + 336 - 42t = 4t^2 + 32t<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "4t^2 + 32t - 336 = 0<BR>\n" );
document.write( "Simplify, divide by 4<BR>\n" );
document.write( "t^2 + 8t - 84 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(t+14)(t-6) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "t = 6 hrs was his anticipated time for the job<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this by finding the actual hourly pay<BR>\n" );
document.write( "42/6 = $7 an hr<BR>\n" );
document.write( "42/14= $3 an hr<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "differ: $4  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );