document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081944>Question 1081944</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 80 men can finish the job in 60 days. At the 16th day, 5 men were laid off and at the 45th day, 10 men were hired. How many days were they delayed finishing 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 #853796 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3832)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=853796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Let's say hypothetically that the job is to move 9600 stones. <BR>\n" );
document.write( "I got this value by multiplying the numbers in the first sentence, then doubling the result.<BR>\n" );
document.write( "It turns out that this value can be changed to any thing else you want; the final answer at the end will be the same. I picked 9600 so that I would get an integer when dividing in the next paragraph.\r<BR>\n" );
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document.write( "9600 stones<BR>\n" );
document.write( "80 men<BR>\n" );
document.write( "9600/80 = 120 stones per person<BR>\n" );
document.write( "Each person is responsible for moving 120 stones. Each person can do it in 60 days, so the rate is 120/60 = 2 stones per day.\r<BR>\n" );
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document.write( "At the end of the 15th day, each person has moved 15*2 = 30 stones.<BR>\n" );
document.write( "So that is 80*30 = 2400 stones that have been moved so far.<BR>\n" );
document.write( "There are 9600-2400 = 7200 stones remaining.\r<BR>\n" );
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document.write( "5 men are laid off, so there are 80-5 = 75 men remaining.<BR>\n" );
document.write( "The time gap from day 16 to day 44 is 44-16+1 = 29 days.<BR>\n" );
document.write( "In those 29 days, 75 men move 75*2*29 = 4350 stones<BR>\n" );
document.write( "7200-4350 = 2850 stones remain at the end of day 44.\r<BR>\n" );
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document.write( "On day 45, there are 10 new workers to bring the count to 75+10 = 85 workers.\r<BR>\n" );
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document.write( "x = number of days to move the remaining stones<BR>\n" );
document.write( "85*2*x = 170x = number of stones to move<BR>\n" );
document.write( "170x = 2850<BR>\n" );
document.write( "x = 2850/170<BR>\n" );
document.write( "x = 285/17<BR>\n" );
document.write( "x = 16.765 approximately\r<BR>\n" );
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document.write( "44+x = 44+16.765 = 60.765 days (roughly) is the time it takes for the entire job to be completed. <BR>\n" );
document.write( "This rounds to roughly 61 days.<BR>\n" );
document.write( "This is in contrast to the estimated 60 day window.<BR>\n" );
document.write( "61-60 = 1 is the amount they go over.\r<BR>\n" );
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document.write( "Answer: Approximately 1 day late<BR>\n" );
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