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150 workers were engaged to finish a job in a certain number of days. 4 workers dropped on second day,4 more dropped out on third day and so on.it took 8 more days to finish the work.find the number of days in which the work was completed.


Posted- 2330 days ago
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Answer This

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

According to the given information,

150x = 150 + 146 + 142 + …. (x + 8) terms

The series 150 + 146 + 142 + …. (x + 8) terms is an A.P. with first term 146, common difference –4 and number of terms as (x + 8)

However, x cannot be negative.

x = 17

Therefore, originally, the number of days in which the work was completed is 17.

Thus, required number of days = (17 + 8) = 25