Question

In a factory, 150 workers were engaged to finish a piece of work in a certain number of days. However, if 4 workers are dropped everyday, except the first day, it will take 8 more days to finish the work. Find the number of days in which the work was to be completed.

Answer 1

series will be like `150+146+142+..........+n`
work `= n/2(2+150+ (n-1)(-4))`
`= (152n-2n^2)`
if all are working then
w`= 150(n-8)`
`152n-2n^2 = 150n - 1200`
`2n^2 - 2n - 1200=6`
`n^2 - n-600=0`
`(n-25)(n+24)=0`
`n=25,-24`
as no of days cant be negative so n=`25`
answer