UPSC Exam  >  UPSC Questions  >  A contract is to be completed in 56 days if 1... Start Learning for Free
A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After30 days, 2/5 of the work is completed. How many additional persons should be deployed so that thework will be completed in the scheduled time, each person’s now working 9 hours a day.
  • a)
    160
  • b)
    150
  • c)
    24
  • d)
    56
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A contract is to be completed in 56 days if 104 persons work, each wor...
Option D
Explanation :Persons worked = 104Number of hours each person worked per day = 8Number of days they worked = 30Work completed = 2/5Remaining days = 56 ‐ 30 = 26Remaining Work to be completed = 1 ‐ 2/5 = 3/5Let the total number of persons who do the remaining work = xNumber of hours each person needs to be work per day = 9More days, less persons(indirect proportion) More hours, less persons(indirect proportion)More work, more persons(direct proportion)Hence we can write asDays 30:26Hours 8:9 ::x:104Work 35:25⇒30×8×3/5×104=26×9×2/5×x⇒x=(30×8×3/5×104)/(26×9×2/5)=(30×8×3×104)/(26×9×2)=(30×8×104)/(26×3×2)=(30×8×4)/(3×2)=5×8×4=160Number of additional persons required = 160 ‐ 104 = 56
View all questions of this test
Most Upvoted Answer
A contract is to be completed in 56 days if 104 persons work, each wor...

Calculation of Work Completed:
- Total work to be completed in 56 days = 1 contract
- Work completed in 30 days = 2/5 of the contract

Calculation of Work Remaining:
- Work remaining after 30 days = 1 - 2/5 = 3/5 of the contract

Person-Hours Required:
- If 104 persons complete 3/5 of the contract in 30 days, then the total person-hours required = (104 * 8 * 30 * 3/5)

Calculation of Additional Persons:
- Let x be the additional number of persons required to complete the remaining work in 26 days
- Total person-hours with additional persons = (104 + x) * 9 * 26

Setting up the Equation:
- Equate the two expressions for total person-hours required:
(104 * 8 * 30 * 3/5) = (104 + x) * 9 * 26
Solve for x to find the additional persons required

Calculation:
- Solving the equation, x = 56

Therefore, 56 additional persons should be deployed to complete the work in the scheduled time with each person working 9 hours a day.
Explore Courses for UPSC exam

Similar UPSC Doubts

Top Courses for UPSC

A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After30 days, 2/5 of the work is completed. How many additional persons should be deployed so that thework will be completed in the scheduled time, each person’s now working 9 hours a day.a)160b)150c)24d)56Correct answer is option 'D'. Can you explain this answer?
Question Description
A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After30 days, 2/5 of the work is completed. How many additional persons should be deployed so that thework will be completed in the scheduled time, each person’s now working 9 hours a day.a)160b)150c)24d)56Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After30 days, 2/5 of the work is completed. How many additional persons should be deployed so that thework will be completed in the scheduled time, each person’s now working 9 hours a day.a)160b)150c)24d)56Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After30 days, 2/5 of the work is completed. How many additional persons should be deployed so that thework will be completed in the scheduled time, each person’s now working 9 hours a day.a)160b)150c)24d)56Correct answer is option 'D'. Can you explain this answer?.
Solutions for A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After30 days, 2/5 of the work is completed. How many additional persons should be deployed so that thework will be completed in the scheduled time, each person’s now working 9 hours a day.a)160b)150c)24d)56Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After30 days, 2/5 of the work is completed. How many additional persons should be deployed so that thework will be completed in the scheduled time, each person’s now working 9 hours a day.a)160b)150c)24d)56Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After30 days, 2/5 of the work is completed. How many additional persons should be deployed so that thework will be completed in the scheduled time, each person’s now working 9 hours a day.a)160b)150c)24d)56Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After30 days, 2/5 of the work is completed. How many additional persons should be deployed so that thework will be completed in the scheduled time, each person’s now working 9 hours a day.a)160b)150c)24d)56Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After30 days, 2/5 of the work is completed. How many additional persons should be deployed so that thework will be completed in the scheduled time, each person’s now working 9 hours a day.a)160b)150c)24d)56Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After30 days, 2/5 of the work is completed. How many additional persons should be deployed so that thework will be completed in the scheduled time, each person’s now working 9 hours a day.a)160b)150c)24d)56Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev