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saumya shivhare Grade: 11
        

150 workers were engaged to finish a job in a certain number of days. 4 workers dropped out on second day, 4 more workers 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

6 years ago

Answers : (1)

SAGAR SINGH - IIT DELHI
879 Points
										

 


Dear student,




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


 





































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Sagar Singh


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6 years ago
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