document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1080759>Question 1080759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 16 workers complete their work in 38 days. In how many days will it take if 5 of the workers increase their work load by 60%?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #694875 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=694875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p*r*t = q\r<BR>\n" );
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document.write( "p = numnber of people<BR>\n" );
document.write( "r = rate that each person works<BR>\n" );
document.write( "t = time<BR>\n" );
document.write( "q = quantity of work produced.\r<BR>\n" );
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document.write( "in your problem, you start with 16 * r * 38 = 1\r<BR>\n" );
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document.write( "p = 16<BR>\n" );
document.write( "r = rate that each person works per day<BR>\n" );
document.write( "t = 38 days<BR>\n" );
document.write( "q = 1 job\r<BR>\n" );
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document.write( "solve for r in this equation to get r = 1/(16 * 38) = 1/608\r<BR>\n" );
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document.write( "each worker completes 1/608 of the job per day.\r<BR>\n" );
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document.write( "16 * 1/608 * 38 = 1 job completed.\r<BR>\n" );
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document.write( "5 of the workers increases their workload by 60%\r<BR>\n" );
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document.write( "1.6 * 1/608 = 1.6/608\r<BR>\n" );
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document.write( "now you have 11 of the workers completing 1/608 of the job per day and you have 5 of the workers completing 1.6/608 of the job per day.\r<BR>\n" );
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document.write( "you want to solve for time.\r<BR>\n" );
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document.write( "when they work together, the worker's rates are additive.\r<BR>\n" );
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document.write( "p * r * t = q becomes:\r<BR>\n" );
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document.write( "(11 * 1/608) + 5 * (1.6/608) * t = 1\r<BR>\n" );
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document.write( "solve for t to get t = 1 / (11 * 1/608) + 5 * 1.6/608) = 32\r<BR>\n" );
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document.write( "the job will be completed in 32 days\r<BR>\n" );
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document.write( "the 5 workers will complete 5 * 1.6/608 * 32 = .4210526316 of the job in 32 days.\r<BR>\n" );
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document.write( "the 11 workers will comlete 11 * 1/608 * 32 = .5789473684 of the job in 32 days.\r<BR>\n" );
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document.write( "combine their efforts and the whole job is completed in 32 days.,\r<BR>\n" );
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document.write( " </SPAN>\n" );
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