CAT Exam > CAT Questions > A building is to be completed within 40 days....
Start Learning for Free
A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?
Correct answer is '40'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A building is to be completed within 40 days. 40 workers started the w...
Let the no. of additional workers be x.
Work done (in man-hrs) = No. of workers * No. of days * Rate of working (in hrs)
Since 40% of the work has been completed in 25 days, the project can be completed on schedule (i.e. in 40 days) by doing the remaining 60% work in only 15 days.
Work done (in man-hrs) = No. of workers * No. of days * Rate of working (in hrs)
Since 40% of the work has been completed in 25 days, the project can be completed on schedule (i.e. in 40 days) by doing the remaining 60% work in only 15 days.
Therefore, 40 additional workers are needed. Answer: 40
Most Upvoted Answer
A building is to be completed within 40 days. 40 workers started the w...
Analysis:
To solve this problem, we need to find the number of additional workers required to complete the work on time. We are given the following information:
- The building needs to be completed within 40 days.
- Initially, there are 40 workers, each working 8 hours a day.
- After 25 days, 40% of the work is completed.
Solution:
Step 1: Calculate the total work:
Since 40% of the work is completed after 25 days, we can assume that the remaining 60% of the work needs to be completed in the remaining 15 days.
Therefore, the total work can be calculated as follows:
Total work = (100/40) * 15 = 37.5 units
Step 2: Calculate the work done by each worker:
Initially, there are 40 workers, each working 8 hours a day. So, the work done by each worker in a day can be calculated as follows:
Work done by each worker in a day = (1/40) * 8 = 0.2 units
Step 3: Calculate the total work done by all workers:
The total work done by all workers in 25 days can be calculated as follows:
Total work done by all workers in 25 days = (40 * 0.2) * 25 = 200 units
Step 4: Calculate the remaining work:
The remaining work can be calculated as follows:
Remaining work = Total work - Total work done by all workers in 25 days
= 37.5 - 200
= -162.5 units
The negative value indicates that the work is not completed within the given 25 days.
Step 5: Calculate the additional workers required:
To complete the remaining work within the remaining 15 days, we need to calculate the number of additional workers required. Let's assume the number of additional workers required is 'x'.
The work done by each worker in a day, when each worker works for 10 hours, can be calculated as follows:
Work done by each worker in a day = (1/40) * 10 = 0.25 units
The total work done by all workers in 15 days can be calculated as follows:
Total work done by all workers in 15 days = (40 + x) * 0.25 * 15
Since the total work should be equal to 37.5 units, we can equate the two expressions and solve for 'x':
(40 + x) * 0.25 * 15 = 37.5
10 + 0.25x = 37.5
0.25x = 27.5
x = 27.5 / 0.25
x = 110
Therefore, we need to add 110 additional workers to the existing workforce of 40 workers to complete the work on time with each worker working for 10 hours a day.
Step 6: Calculate the total number of workers:
To find the total number of workers required, we add the initial number of workers (40) to the number of additional workers required (110):
Total number of workers =
Free Test
FREE
| Start Free Test |
Community Answer
A building is to be completed within 40 days. 40 workers started the w...
23
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer?
Question Description
A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer?.
A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer?.
Solutions for A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer?, a detailed solution for A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer? has been provided alongside types of A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A building is to be completed within 40 days. 40 workers started the work, each worker working 8 hours a day. After 25 days, 40% of the work is completed. How many additional workers should be added to the workforce so that the work is completed on time with each worker working for 10 hours a day?Correct answer is '40'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup