Question 1081944
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Let's say hypothetically that the job is to move 9600 stones. 
I got this value by multiplying the numbers in the first sentence, then doubling the result.
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.


9600 stones
80 men
9600/80 = 120 stones per person
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.


At the end of the 15th day, each person has moved 15*2 = 30 stones.
So that is 80*30 = 2400 stones that have been moved so far.
There are 9600-2400 = 7200 stones remaining.


5 men are laid off, so there are 80-5 = 75 men remaining.
The time gap from day 16 to day 44 is 44-16+1 = 29 days.
In those 29 days, 75 men move 75*2*29 = 4350 stones
7200-4350 = 2850 stones remain at the end of day 44.


On day 45, there are 10 new workers to bring the count to 75+10 = 85 workers.


x = number of days to move the remaining stones
85*2*x = 170x = number of stones to move
170x = 2850
x = 2850/170
x = 285/17
x = 16.765 approximately


44+x = 44+16.765 = 60.765 days (roughly) is the time it takes for the entire job to be completed. 
This rounds to roughly 61 days.
This is in contrast to the estimated 60 day window.
61-60 = 1 is the amount they go over.



Answer: Approximately 1 day late
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