document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166720>Question 166720</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780495105107/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A student did a word processing job for $24. It took him 1hour 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? PLEASE HELP ME UNDERSTAND WORD PROBLEMS. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122854 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=122854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume the student expected to make D dollars/hour and work for H hours.<BR>\n" );
document.write( "That student expected to earn $24. So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+=+D+%2A+H+ ALIGN=MIDDLE  ALT=\"24+=+D+%2A+H+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2FH+=+D ALIGN=MIDDLE  ALT=\"24%2FH+=+D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The problem tells you the student had to work longer for the same money. The student worked <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%2B1 ALIGN=MIDDLE  ALT=\"H%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours and earned the same $24. The student  ended up getting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D-4 ALIGN=MIDDLE  ALT=\"D-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars per hour.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+=+%28D-4%29%2A%28H%2B1%29 ALIGN=MIDDLE  ALT=\"24+=+%28D-4%29%2A%28H%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subbing in the expected return<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+=+%2824%2FH+-+4%29+%28H+%2B+1%29 ALIGN=MIDDLE  ALT=\"24+=+%2824%2FH+-+4%29+%28H+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+=+%2824+-+4H%29%2FH+%2A+%28H%2B1%29 ALIGN=MIDDLE  ALT=\"24+=+%2824+-+4H%29%2FH+%2A+%28H%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24H+=+%2824-4H%29%28H%2B1%29 ALIGN=MIDDLE  ALT=\"24H+=+%2824-4H%29%28H%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24H+=+24H+-+4H%5E2+%2B+24+-+4H ALIGN=MIDDLE  ALT=\"24H+=+24H+-+4H%5E2+%2B+24+-+4H\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4H%5E2+%2B4H+-24+=+0+ ALIGN=MIDDLE  ALT=\"4H%5E2+%2B4H+-24+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5E2+%2BH+-6+=+0 ALIGN=MIDDLE  ALT=\"H%5E2+%2BH+-6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28H%2B3%29%28H-2%29=0 ALIGN=MIDDLE  ALT=\"%28H%2B3%29%28H-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the student expected to work 2 hours or -3 hours. Since one cannot work -3 hours, the student expected to work 2 hours at $12/hour. Instead, the student worked 3 hours at $8/hour. A difference of $4 per hour\r<BR>\n" );
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document.write( "As far as \"how do I do word problems goes\", look for pertinent info. Many problems will give you more data -- some of it may be irrelevant. This problem gave you only good data, and no more or no less than required to solve.\r<BR>\n" );
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document.write( "The \"trick' in this one is to know that wages= WageRate * HoursWorked<BR>\n" );
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