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

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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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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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Text solutionVerified

Solution: series will be like

150 + 146 + 142 + \dots\dots\dots . + n

work

= \frac{n}{2} (2 + 150 + (n - 1) (- 4))

= (152 n - 2 n^{2})

if all are working then
w

= 150 (n - 8)

152 n - 2 n^{2} = 150 n - 1200

2 n^{2} - 2 n - 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

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Question Text	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 Type	Text solution:1
Upvotes	150

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.

Text solutionVerified

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