SSC CGL Exam > SSC CGL Questions > A contractor employed a certain number of wor...
Start Learning for Free
A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers?
Most Upvoted Answer
A contractor employed a certain number of workers to finish constructi...
**Problem Analysis:**
Let's assume the total work to be done is represented by 'W' and the number of workers initially employed is represented by 'x'. The scheduled time to finish the road is represented by 'T'.
According to the question, when a part of the work had been completed, the contractor realized that the work would get delayed by three-fourths of the scheduled time. So, the additional time required to complete the remaining work is (3/4)T.
To compensate for this delay, the contractor doubled the number of workers to 2x. With this increase in the number of workers, the work was completed on the scheduled time.
We need to find out how much work had been completed before increasing the number of workers.
**Solution:**
Let's assume the amount of work completed before increasing the number of workers is represented by 'C'.
Since the work was completed on the scheduled time, the time taken to complete the remaining work is (1/2)T.
We can use the concept of work done by a unit of worker in unit time to solve this problem.
**Work done by a unit of worker in unit time:**
Let's assume a unit of worker can complete 'W' amount of work in 'T' time. Therefore, the work done by a unit of worker in unit time is W/T.
**Work done by 'x' workers in 'T' time:**
The work done by 'x' workers in 'T' time is given by:
Work done by 'x' workers = x * (work done by a unit of worker in unit time) = x * (W/T).
**Work done by '2x' workers in (1/2)T time:**
The work done by '2x' workers in (1/2)T time is given by:
Work done by '2x' workers = 2x * (work done by a unit of worker in unit time) = 2x * (W/T).
**Work remaining after 'C' work has been completed:**
The work remaining after 'C' work has been completed is given by:
Work remaining = Total work - Work done = W - C.
**Work done by 'x' workers in (1/2)T time:**
The work done by 'x' workers in (1/2)T time is given by:
Work done by 'x' workers = x * (work done by a unit of worker in unit time) = x * (W/T).
**Equation based on given information:**
According to the question, the work remaining after 'C' work has been completed is equal to the work done by '2x' workers in (1/2)T time.
So, the equation can be written as:
W - C = 2x * (W/T).
**Solving the equation:**
W - C = 2x * (W/T).
Multiplying both sides by T:
T * (W - C) = 2x * W.
Expanding the equation:
T * W - T * C = 2x * W.
Rearranging the terms:
2x * W - T * W = T * C.
Factoring out W:
W * (2x - T) = T * C.
Dividing both sides by (2x - T):
W = (T * C) /
Let's assume the total work to be done is represented by 'W' and the number of workers initially employed is represented by 'x'. The scheduled time to finish the road is represented by 'T'.
According to the question, when a part of the work had been completed, the contractor realized that the work would get delayed by three-fourths of the scheduled time. So, the additional time required to complete the remaining work is (3/4)T.
To compensate for this delay, the contractor doubled the number of workers to 2x. With this increase in the number of workers, the work was completed on the scheduled time.
We need to find out how much work had been completed before increasing the number of workers.
**Solution:**
Let's assume the amount of work completed before increasing the number of workers is represented by 'C'.
Since the work was completed on the scheduled time, the time taken to complete the remaining work is (1/2)T.
We can use the concept of work done by a unit of worker in unit time to solve this problem.
**Work done by a unit of worker in unit time:**
Let's assume a unit of worker can complete 'W' amount of work in 'T' time. Therefore, the work done by a unit of worker in unit time is W/T.
**Work done by 'x' workers in 'T' time:**
The work done by 'x' workers in 'T' time is given by:
Work done by 'x' workers = x * (work done by a unit of worker in unit time) = x * (W/T).
**Work done by '2x' workers in (1/2)T time:**
The work done by '2x' workers in (1/2)T time is given by:
Work done by '2x' workers = 2x * (work done by a unit of worker in unit time) = 2x * (W/T).
**Work remaining after 'C' work has been completed:**
The work remaining after 'C' work has been completed is given by:
Work remaining = Total work - Work done = W - C.
**Work done by 'x' workers in (1/2)T time:**
The work done by 'x' workers in (1/2)T time is given by:
Work done by 'x' workers = x * (work done by a unit of worker in unit time) = x * (W/T).
**Equation based on given information:**
According to the question, the work remaining after 'C' work has been completed is equal to the work done by '2x' workers in (1/2)T time.
So, the equation can be written as:
W - C = 2x * (W/T).
**Solving the equation:**
W - C = 2x * (W/T).
Multiplying both sides by T:
T * (W - C) = 2x * W.
Expanding the equation:
T * W - T * C = 2x * W.
Rearranging the terms:
2x * W - T * W = T * C.
Factoring out W:
W * (2x - T) = T * C.
Dividing both sides by (2x - T):
W = (T * C) /
Attention SSC CGL Students!
To make sure you are not studying endlessly, EduRev has designed SSC CGL study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in SSC CGL.
|
Explore Courses for SSC CGL exam
|
|
Similar SSC CGL Doubts
Top Courses for SSC CGLView all
A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers?
Question Description
A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers?.
A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers?.
Solutions for A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers? in English & in Hindi are available as part of our courses for SSC CGL.
Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers? defined & explained in the simplest way possible. Besides giving the explanation of
A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers?, a detailed solution for A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers? has been provided alongside types of A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers? theory, EduRev gives you an
ample number of questions to practice A contractor employed a certain number of workers to finish construction of a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the number of workers and thus he managed to finish the road on the scheduled time. How much work had been completed, before increasing the number of workers? tests, examples and also practice SSC CGL tests.
|
|
Explore Courses for SSC CGL 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