document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=849367>Question 849367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Twenty people working 9 hours per day are needed to complete a large sorting job within ten days. How many hours per day would eighteen people need to have worked to complete the job within the same time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511495 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=511495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/10 as many people would take 10 times<BR>\n" );
document.write( "longer to do the same job, so<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F10%29%2A20+=+2+ ALIGN=MIDDLE  ALT=\"+%281%2F10%29%2A20+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > people take <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+90%2A10+=+900+ ALIGN=MIDDLE  ALT=\"+90%2A10+=+900+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "hours to do the same job<BR>\n" );
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document.write( "The rate that the 20 people work is ( 1 job ) / ( 90hrs )<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F90+ ALIGN=MIDDLE  ALT=\"+1%2F90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The rate that the 2 people work is ( 1 job ) / ( 900 hrs )<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F900+ ALIGN=MIDDLE  ALT=\"+1%2F900+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Let ( 1 job ) / ( h hours ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fh+ ALIGN=MIDDLE  ALT=\"+1%2Fh+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the rate that<BR>\n" );
document.write( "18 people work<BR>\n" );
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document.write( "I can then say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F90+-+1%2F900+=+1%2Fh+ ALIGN=MIDDLE  ALT=\"+1%2F90+-+1%2F900+=+1%2Fh+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+900h+ ALIGN=MIDDLE  ALT=\"+900h+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10h+-+h+=+900+ ALIGN=MIDDLE  ALT=\"+10h+-+h+=+900+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9h+=+900+ ALIGN=MIDDLE  ALT=\"+9h+=+900+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+100+ ALIGN=MIDDLE  ALT=\"+h+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "( 100 hrs ) / ( 10 days ) = 10 hrs / day<BR>\n" );
document.write( "So, 18 people need to work 10 hrs a day to<BR>\n" );
document.write( "finish the job in 10 days\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );