A work can be finished in 11 days by N number of people and that was finished 3 days earlier after 13 more men joined. Find the total number of Worked Peoples,
Answers
No of men employed = N
No of days to finish the work = 9 days
No of men after increase = (N + 10)
No of days to finish the work = 6 days
Equating mandays
9N = (N+10)*6
9N — 6N = 60
3N = 60
N = 20
No of men employed = 20
Given,
N people do a work in 11 days.
N+13 people do the same work in 8 days.
To find,
The total number of people who worked.
Solution,
We can simply solve the mathematical problem by the following procedure.
It is given that,
N people do a work in 11 days and N+13 people can do the work in 8 days.
Thus,
We can say that,
1 person can do the same work in 11*N days or (N+13)*8 days.
Equating the work which can be done by 1 person,
⇒ N*11 = (N+13)*8
⇒ 11N = 8N + 104
⇒ 3N = 104
⇒ N = 31.33
Note;
It must be noted that the number of men cannot be in decimals. Thus, there is an error in the numbers given in the question. Otherwise, the question is to be solved in the given way.