document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052648>Question 1052648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "5 workers complete a job in 6 days. After 2 days, 3 workers left.<BR>\n" );
document.write( "how many more days will the job take the remaining workers. \r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667951 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=667951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5 workers complete the job in 6 days.\r<BR>\n" );
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document.write( "after 2 days, 3 workers leave.\r<BR>\n" );
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document.write( "how many more days for the remaining workers to complete the job?\r<BR>\n" );
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document.write( "the assumption here is that all the workers work at the same rate.\r<BR>\n" );
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document.write( "the basic formula is:\r<BR>\n" );
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document.write( "n * r * t = q\r<BR>\n" );
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document.write( "n = numbr of workers<BR>\n" );
document.write( "r = rate of each worker<BR>\n" );
document.write( "t = time<BR>\n" );
document.write( "q = quantity\r<BR>\n" );
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document.write( "you are given that n = 5 and t = 6 and q = 1\r<BR>\n" );
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document.write( "q = 1 means 1 job is to be completed.\r<BR>\n" );
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document.write( "the formula becomes:\r<BR>\n" );
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document.write( "5 * r * 6 = 1\r<BR>\n" );
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document.write( "solve for r to get r = 1/30\r<BR>\n" );
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document.write( "4 = 1/30 means when all 5 men work for 6 days, each worker completes 1/30 of the job per day.\r<BR>\n" );
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document.write( "when r = 1/30, 5 * r * 6 = 1 becomes 5 * 1/30 * 6 = 1 which becomes 1 = 1 which confirms the value for r is correct.\r<BR>\n" );
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document.write( "problem states you have 5 people working for 2 days and then 2 people working for the rest of the time.\r<BR>\n" );
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document.write( "you want to know how long is the rest of the time.\r<BR>\n" );
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document.write( "the formula becomes:\r<BR>\n" );
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document.write( "(5 * 1/30 * 2) + (2 * 1/30 * t) = 1\r<BR>\n" );
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document.write( "the formula says that 5 people working at the rate of 1/30 of the job per person per day for 2 days and then 2 people working at the rate of 1/30 of the job per person per day for t days will complete the job in t + 2 days.\r<BR>\n" );
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document.write( "you need to solve for t.\r<BR>\n" );
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document.write( "simplify the equation to get 10/30 + 2/30 * t = 1\r<BR>\n" );
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document.write( "subtract 10/30 from both sides of the equation to get 2/30 * t = 20/30\r<BR>\n" );
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document.write( "multiply both sides of the eqution by 30/2 to get t = 20/30 * 30/2\r<BR>\n" );
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document.write( "simplify to get t = 10.\r<BR>\n" );
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document.write( "the 2 people remaining will need to work an additional 10 days to complete the job.\r<BR>\n" );
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document.write( "the final equation becomes:\r<BR>\n" );
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document.write( "5 * 1/30 * 2 + 2 * 1/30 * 10 = 1\r<BR>\n" );
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document.write( "simplify to get 10/30 + 30/30 = 1 which becomes 1 = 1, confirming the solution is correct.\r<BR>\n" );
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document.write( "the total time it takes is 2 days when 5 people were working plus an additional 10 days when only 2 people were working for a total of 12 days to complete the job.,\r<BR>\n" );
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document.write( "you were asked how many more days to complete the job.\r<BR>\n" );
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document.write( "that would be 10 more days,\r<BR>\n" );
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document.write( " </SPAN>\n" );
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