document.write( "Question 1184255: Hi
\n" ); document.write( "6 men do a job in 8 days. After 3 days 2 of the men are taken off the job. Find the time it takes for the job to be completed from start to finish. \r
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Algebra.Com's Answer #814798 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "One approach is to figure out how much work ONE man does in ONE day (the unit rate of work per person).  Once you know that, the rest falls into place easily.\r
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document.write( "6 men do the entire job in 8 days\r
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document.write( "That means 6 men do 1/8 of a job in one day\r
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document.write( "And one man does  (1/6)*(1/8) = 1/48 job in one day\r
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document.write( "How much work is done in the first three days?
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document.write( "3days * 6men * (1/48 job/day/man) = 18/48 job \r
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document.write( "This leaves (48/48) - (18/48) = 30/48 of the job to do by the remaining 4 men:\r
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document.write( "Say it takes  N more days...
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document.write( "4 * (1/48) * N =  30/48\r
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document.write( "N = (30/48) * (48/4) = 7.5 days\r
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document.write( "Therefore, the entire job takes  3 days + 7.5 days =  days.\r
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document.write( "Check:  3men * 6days * (1/48 job/day/man) + 7.5days * 4men * (1/48 job/day/man) = 48/48 = 1 job (ok)\r
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