Question

33men can do a job in 30 days. If 44men started the job together after every day of the work, one person leaves the job what is the minimum number of the days requires to complete the job

Answer 1

Answer:

Total work is of 33*30 =990 man days or units

On 1st day 44 units, 2nd day 43 units, 3rd day 42 units and so on.. will be the work completed

Now we can find how many terms of the series 44+43+42+..... will sum upto 990 and

We find that sum of first 44 terms is (44/2)[2*1 + 43*1]=990

So starting with 44 men and reducing 1 man each day, it will take 44 days to complete the work.