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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. - CBSE (Arts) Class 11 - Mathematics

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Question

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.

Solution

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 150, 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

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 9: Sequences and Series
Q: 32 | Page no. 200
Solution 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. Concept: Concept of Series.
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