Quant Exam > Quant Questions > A Contractor employed a certain number of wor...
Start Learning for Free
A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?
- a)200/3%
- b)100/3%
- c)300/3%
- d)Can’t be determined
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A Contractor employed a certain number of workers to finish constructi...
D * x +(100- D) * 2x= 150x
⇒ D = 50 days
work done in 50 days = 50x
Total work = 150x
50x/150x * 100 = 100/3
⇒ D = 50 days
work done in 50 days = 50x
Total work = 150x
50x/150x * 100 = 100/3
Most Upvoted Answer
A Contractor employed a certain number of workers to finish constructi...
Not be determined
Let's assume that the contractor initially employed x workers to finish the building in t time. Let's also assume that the total work required to finish the building is 1 unit. Therefore, each worker would complete 1/(xt) units of work in 1 unit of time.
After completing a part of the work, the contractor realized that the work would get delayed by half of the scheduled time, which means that he had completed only half of the work. Therefore, the amount of work completed before increasing the number of workers is 1/2 unit.
When the contractor doubled the number of workers, the rate of work completion also doubled. Therefore, each worker would now complete 2/(xt) units of work in 1 unit of time.
Let's assume that the contractor increased the number of workers to y. Therefore, we can write the following equation:
(1/2) = (1/x)t ----> equation 1 (since half of the work was completed initially)
1 = (2/y)t ----> equation 2 (since the work was completed on the scheduled time after doubling the workers)
From equation 1, we get:
t = (1/2)(x) ----> equation 3
Substituting equation 3 in equation 2, we get:
1 = (2/y)(1/2)(x)
y = 4x
Therefore, the contractor increased the number of workers to 4x.
Now, let's calculate the amount of work completed by the initial x workers before doubling the workers:
Amount of work completed by x workers = (work done by 1 worker in 1 unit of time) x (number of workers) x (time taken)
= (1/(xt)) x (x) x ((1/2)(x))
= (1/2) unit
Therefore, the amount of work completed before increasing the number of workers is 1/2 unit.
Now, let's calculate the percentage of work completed before increasing the number of workers:
Percentage of work completed = (amount of work completed / total work required) x 100
= (1/2 / 1) x 100
= 50%
Therefore, the answer is option (d) "Cannot be determined" since the percentage of work completed before increasing the number of workers is independent of the initial number of workers and the scheduled time.
Let's assume that the contractor initially employed x workers to finish the building in t time. Let's also assume that the total work required to finish the building is 1 unit. Therefore, each worker would complete 1/(xt) units of work in 1 unit of time.
After completing a part of the work, the contractor realized that the work would get delayed by half of the scheduled time, which means that he had completed only half of the work. Therefore, the amount of work completed before increasing the number of workers is 1/2 unit.
When the contractor doubled the number of workers, the rate of work completion also doubled. Therefore, each worker would now complete 2/(xt) units of work in 1 unit of time.
Let's assume that the contractor increased the number of workers to y. Therefore, we can write the following equation:
(1/2) = (1/x)t ----> equation 1 (since half of the work was completed initially)
1 = (2/y)t ----> equation 2 (since the work was completed on the scheduled time after doubling the workers)
From equation 1, we get:
t = (1/2)(x) ----> equation 3
Substituting equation 3 in equation 2, we get:
1 = (2/y)(1/2)(x)
y = 4x
Therefore, the contractor increased the number of workers to 4x.
Now, let's calculate the amount of work completed by the initial x workers before doubling the workers:
Amount of work completed by x workers = (work done by 1 worker in 1 unit of time) x (number of workers) x (time taken)
= (1/(xt)) x (x) x ((1/2)(x))
= (1/2) unit
Therefore, the amount of work completed before increasing the number of workers is 1/2 unit.
Now, let's calculate the percentage of work completed before increasing the number of workers:
Percentage of work completed = (amount of work completed / total work required) x 100
= (1/2 / 1) x 100
= 50%
Therefore, the answer is option (d) "Cannot be determined" since the percentage of work completed before increasing the number of workers is independent of the initial number of workers and the scheduled time.
Free Test
FREE
| Start Free Test |
Community Answer
A Contractor employed a certain number of workers to finish constructi...
D * x +(100- D) * 2x= 150x
⇒ D = 50 days
work done in 50 days = 50x
Total work = 150x
50x/150x * 100 = 100/3
⇒ D = 50 days
work done in 50 days = 50x
Total work = 150x
50x/150x * 100 = 100/3
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?.
A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A Contractor employed a certain number of workers to finish constructing a building in a certain scheduled time. Some time later, when a part of work had been completed, he realized that the work would get delayed by half of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the building on the scheduled time. How much work he had been completed, before increasing the number of workers?a)200/3%b)100/3%c)300/3%d)Can’t be determinede)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup