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.

In a factory, 150 workers were engaged to finish a piece of work in a

1.	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» 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

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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.

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