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.

Explanation

Let the number of days in which 150 workers finish the work be x.


`150 x = 150+ 146 + 142+…(x+8)`


The above series is an AP with `a = 150, and d = -4, n = x+8`


`150x = ((x+8)/2)[2(150)+(x+8-1)(-4)]`


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