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5 persons working 8 hour a day can do a piece of work in 18 days. How many persons will complete it working 9 hours a day in 10 days ?
Most Upvoted Answer
5 persons working 8 hour a day can do a piece of work in 18 days. How ...
Problem
5 persons working 8 hour a day can do a piece of work in 18 days. How many persons will complete it working 9 hours a day in 10 days?
Explanation
Let's assume that the total work to be done is 1 unit.
So, 5 persons working for 8 hours a day can do the work in 18 days.
Let's calculate the total work done by them in 18 days:
Work done by 1 person in 1 hour = 1/((5*8)*18) = 1/720
Work done by 5 persons in 1 hour = 5/720 = 1/144
Work done by 5 persons in 9 hours = (1/144)*9 = 1/16
Now, we need to find out how many persons are required to do the work in 10 days working for 9 hours a day.
Let's assume that 'n' persons are required to do the work in 10 days working for 9 hours a day.
So, work done by 'n' persons in 1 hour = (1/16)*5 = 5/16
Work done by 'n' persons in 1 day = (5/16)*9 = 45/16
Work done by 'n' persons in 10 days = (45/16)*10 = 225/8
Therefore, the number of persons required to do the work in 10 days working for 9 hours a day is:
n = (1/((5*8)*10))*(1/(1/16)) = 2.25
So, we need 3 persons to do the work in 10 days working for 9 hours a day.
Answer
3 persons are required to complete the work working 9 hours a day in 10 days.
Community Answer
5 persons working 8 hour a day can do a piece of work in 18 days. How ...
5 x 8 = 40 hours work
total hours for the work = 18 x 4
= 720 hours
no of person needed to complete the work
9 hours a day in 10 days = 720/90
= 8 persons
8 persons will complete the work
total hours for the work = 18 x 4
= 720 hours
no of person needed to complete the work
9 hours a day in 10 days = 720/90
= 8 persons
8 persons will complete the work
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5 persons working 8 hour a day can do a piece of work in 18 days. How many persons will complete it working 9 hours a day in 10 days ?
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5 persons working 8 hour a day can do a piece of work in 18 days. How many persons will complete it working 9 hours a day in 10 days ? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 5 persons working 8 hour a day can do a piece of work in 18 days. How many persons will complete it working 9 hours a day in 10 days ? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 persons working 8 hour a day can do a piece of work in 18 days. How many persons will complete it working 9 hours a day in 10 days ?.
5 persons working 8 hour a day can do a piece of work in 18 days. How many persons will complete it working 9 hours a day in 10 days ? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 5 persons working 8 hour a day can do a piece of work in 18 days. How many persons will complete it working 9 hours a day in 10 days ? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 persons working 8 hour a day can do a piece of work in 18 days. How many persons will complete it working 9 hours a day in 10 days ?.
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