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A building contractor undertook to finish a certain work in 162 days and employed 150 men. After 72 days, he found that he had already done 2/3 of the work. How many men can be discharged now, so that the work finish in time?
- a)80
- b)75
- c)90
- d)70
- e)65
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A building contractor undertook to finish a certain work in 162 days a...
M1 = 150, M2 = 150 – n, D1 = 72, D2 = 90
W1= 2/3 and W2 = 1/3
According to the formula,
(M1D1) / W1 = (M2D2) / W2
⇒ [150 x 72] / 2 = [(150 – n) x 90] / 1
⇒ (150 x 72) / (2 x 60) = (150 – n)
⇒ (150 – n) = 60
∴ n = 150 – 60 = 90
W1= 2/3 and W2 = 1/3
According to the formula,
(M1D1) / W1 = (M2D2) / W2
⇒ [150 x 72] / 2 = [(150 – n) x 90] / 1
⇒ (150 x 72) / (2 x 60) = (150 – n)
⇒ (150 – n) = 60
∴ n = 150 – 60 = 90
Most Upvoted Answer
A building contractor undertook to finish a certain work in 162 days a...
Given data:
Total number of days for work completion = 162 days
Number of men employed = 150
Number of days of work already done = 72 days
Fraction of work completed = 2/3
Number of men to be discharged to finish the work in time =?
Approach:
Let's assume that the total work is W
So, the work done in 72 days = (2/3)W
Therefore, the remaining work is (1/3)W
Let's assume that x number of men can be discharged now, so that the work finish in time.
So, the remaining work has to be completed in (162-72) = 90 days
We know that the total work done by 150 men in one day = 150M
Where M is the work done by one man in one day
Let's assume that after x men are discharged, the total number of men left to complete the remaining work is y
So, the work done by y men in one day = yM
According to the problem, the remaining work has to be completed in 90 days
So, (1/3)W = 90 * yM
Also, we know that the work done in first 72 days + work done in next (90-x) days = Total work to be completed
(2/3)W + (90-x) * yM = W
Solving these two equations, we can get the value of y, which will give us the number of men required to complete the remaining work in 90 days.
Calculation:
(1/3)W = 90 * yM
W = 270 * yM
(2/3)W + (90-x) * yM = W
(1/3)W = (90-x) * yM
Substituting the value of W from the first equation in the second equation, we get:
270yM/3 = (90-x) * yM
x = 90 - 270/3 = 90 - 90 = 0
Therefore, no men can be discharged now. All the 150 men are required to complete the remaining work in 90 days.
Hence, the correct option is (c) 90.
Total number of days for work completion = 162 days
Number of men employed = 150
Number of days of work already done = 72 days
Fraction of work completed = 2/3
Number of men to be discharged to finish the work in time =?
Approach:
Let's assume that the total work is W
So, the work done in 72 days = (2/3)W
Therefore, the remaining work is (1/3)W
Let's assume that x number of men can be discharged now, so that the work finish in time.
So, the remaining work has to be completed in (162-72) = 90 days
We know that the total work done by 150 men in one day = 150M
Where M is the work done by one man in one day
Let's assume that after x men are discharged, the total number of men left to complete the remaining work is y
So, the work done by y men in one day = yM
According to the problem, the remaining work has to be completed in 90 days
So, (1/3)W = 90 * yM
Also, we know that the work done in first 72 days + work done in next (90-x) days = Total work to be completed
(2/3)W + (90-x) * yM = W
Solving these two equations, we can get the value of y, which will give us the number of men required to complete the remaining work in 90 days.
Calculation:
(1/3)W = 90 * yM
W = 270 * yM
(2/3)W + (90-x) * yM = W
(1/3)W = (90-x) * yM
Substituting the value of W from the first equation in the second equation, we get:
270yM/3 = (90-x) * yM
x = 90 - 270/3 = 90 - 90 = 0
Therefore, no men can be discharged now. All the 150 men are required to complete the remaining work in 90 days.
Hence, the correct option is (c) 90.
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A building contractor undertook to finish a certain work in 162 days and employed 150 men. After 72 days, he found that he had already done 2/3 of the work. How many men can be discharged now, so that the work finish in time?a)80b)75c)90d)70e)65Correct answer is option 'C'. Can you explain this answer?
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A building contractor undertook to finish a certain work in 162 days and employed 150 men. After 72 days, he found that he had already done 2/3 of the work. How many men can be discharged now, so that the work finish in time?a)80b)75c)90d)70e)65Correct answer is option 'C'. 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 building contractor undertook to finish a certain work in 162 days and employed 150 men. After 72 days, he found that he had already done 2/3 of the work. How many men can be discharged now, so that the work finish in time?a)80b)75c)90d)70e)65Correct answer is option 'C'. 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 building contractor undertook to finish a certain work in 162 days and employed 150 men. After 72 days, he found that he had already done 2/3 of the work. How many men can be discharged now, so that the work finish in time?a)80b)75c)90d)70e)65Correct answer is option 'C'. Can you explain this answer?.
A building contractor undertook to finish a certain work in 162 days and employed 150 men. After 72 days, he found that he had already done 2/3 of the work. How many men can be discharged now, so that the work finish in time?a)80b)75c)90d)70e)65Correct answer is option 'C'. 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 building contractor undertook to finish a certain work in 162 days and employed 150 men. After 72 days, he found that he had already done 2/3 of the work. How many men can be discharged now, so that the work finish in time?a)80b)75c)90d)70e)65Correct answer is option 'C'. 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 building contractor undertook to finish a certain work in 162 days and employed 150 men. After 72 days, he found that he had already done 2/3 of the work. How many men can be discharged now, so that the work finish in time?a)80b)75c)90d)70e)65Correct answer is option 'C'. Can you explain this answer?.
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