document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184576>Question 184576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Student did a word processing job for $24. It took him 1 hour longer than he expected, and therefore he earned $4 per hour less than he anaticipated. 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 #138553 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=138553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Student did a word processing job for $24. It took him 1 hour longer than<BR>\n" );
document.write( " 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" );
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document.write( "Let t = time he expected to do the job (in hrs)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Ft ALIGN=MIDDLE  ALT=\"24%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amt per hr anticipated<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F%28%28t%2B1%29%29 ALIGN=MIDDLE  ALT=\"24%2F%28%28t%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = actual amt per hr<BR>\n" );
document.write( ";<BR>\n" );
document.write( "anticipated amt/hr = actual amt/hr + $4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Ft ALIGN=MIDDLE  ALT=\"24%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F%28%28t%2B1%29%29 ALIGN=MIDDLE  ALT=\"24%2F%28%28t%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 4<BR>\n" );
document.write( "Multiply equation by t(t+1), results:<BR>\n" );
document.write( "24(t+1) = 24t + 4t(t+1)<BR>\n" );
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document.write( "24t + 24 = 24t + 4t^2 + 4t<BR>\n" );
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document.write( "0 = 4t^2 + 24t - 24t + 4t - 24<BR>\n" );
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document.write( "4t^2 + 4t - 24 = 0; a quadratic equation<BR>\n" );
document.write( "Simplify, divide by 4<BR>\n" );
document.write( "t^2 + t - 6<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "(t+3)(t-2) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "t = 2 hrs expected to do the job<BR>\n" );
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document.write( "Check solution by finding the per hr amt<BR>\n" );
document.write( "24/2 = $12 per hr<BR>\n" );
document.write( "24/3 = $8 per hr<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "diff = $4 when he works one extra hr<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );