Question 1184255
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Here are two other ways -- among many different possible ways -- of solving the problem.<br>
Look at different ways and find what "works" best for you....<br>
(1) After the first 3 days, there is enough work for the 6 men for another 5 days.<br>
When 2 men are taken off the job, there are 4 men left; the number of workers gets multiplied by a factor of 4/6=2/3.<br>
That means the amount of time remaining to finish the job gets multiplied by a factor of 3/2.  So the number of days needed to finish the job is 5(3/2)=7.5<br>
And so the job from start to finish takes 3+7.5 = 10.5 days.<br>
(2) The entire job takes 6*8 = 48 man-days to complete.<br>
The 6 men working for the first 3 days work a total of 6*3=18 man-days; there are 48-18=30 man-days of work remaining.<br>
The number of days it takes 4 men to do the remaining 30 man-days of work is 30/4=7.5.<br>
The total time for the job from start to finish is 3+7.5 = 10.5 days.<br>