CBSE Class 11-science Answered
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.
Asked by preeti18 | 29 Nov, 2010, 05:10: PM
Expert Answer
Dear student
Let the initialy the work was to be completed in x days with 150 workers working on it
But every day 4 workers are being dropped from the work hence
work took 8 more days to be finished so x+8 days are taken to finish it
So the work is of 150x man days
i.e 150x =150+(150-4)+(150-8)+(150-12)+......+(150-4(x+8))
150x=150x+150x8-4(1+2+3+....+(x+8)terms)
So, 600=(x+8)(x+9)
or x2+17x-528=0
or x = -33 or 16
No. of days must be positive so x = 16
So the work took 24 days in the revised arrangement
Regards
Team Topper
Answered by | 30 Nov, 2010, 10:12: AM
Application Videos
-
Sum of infinite terms of an Arithmetic-Geometric Progre ...
Video contains the question based on how to find the sum of infinite terms ...
Concept Videos
-
Concepts of sequence and series - Introduction
Introduce the concept of sequences and series, their types and specific typ... -
Arithmetic Progressions
This video covers examples on condition for a sequence to be an arithmetic ... -
Relationship between A.M. and G.M.
This video explains the geometric Mean of two numbers and inserting numbers... -
Special Sequences and Series
This video covers examples related to Summation of a series containing squa... -
Arithmetic Mean
This video explains the arithmetic mean of two numbers, inserting n numbers...
CBSE 11-science - Maths
Asked by cubesneha.2005 | 07 Feb, 2024, 12:55: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by hridayjayaram085 | 31 Jan, 2024, 10:53: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by prashantbharati75 | 29 Sep, 2023, 09:30: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by Bhaveshkr211 | 30 Jul, 2023, 05:20: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sakshirana374 | 24 Jul, 2022, 05:39: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sanjuktamukherjee165 | 24 Oct, 2021, 11:04: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by rahulksinha200 | 16 Oct, 2021, 02:08: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by Vibhorjarora798 | 21 Aug, 2021, 05:43: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by shivangkarol | 16 Jun, 2021, 01:18: PM
ANSWERED BY EXPERT
