Question 1207487
the formula used is r * p * t = q


r = rate of each person
p = number of persons
t = time
q = quantity of work.


a basic assumption critical to solving this problem is that each person working on the job works at the same average rate, regardless of the number of people working on the job.


you are given that, when 8 people are working on the job, the job takes 8 days to complete.


the formula becomes r * 8 * 15 = 1


8 is the number of people working on the job.
t is the time it takes to compolete the job.
q is the quantity completed, which is 1 cultivated piece of land.


solve for r to get r = (1/96) = .0104166667.


after working for 3 days, 6 more people were added to the job.


the amount of work completed in 3 days is .0104166667 * 8 * 3 = .25.


that says that 25% of the job was completed in 3 days.


there is 75% of the job to be completed with the additional 6 people that are employed.


the formula becomss .0104166667 * 14 * t = .75


solve for t to get t = 5.142857143 days.


the total time to complete the job is that plus 3 = 8.142857143 days.