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A contractor undertook a project of building a canal 150 m long in 110 days and employed 160 men. However he found that after half the number of days 80 % of the work was completed. How many men will he discharge now so that the work will be finished in time? (in numerical value)
Correct answer is '120'. Can you explain this answer?
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Verified Answer
A contractor undertook a project of building a canal 150 m long in 110...
160 men in 55 days (i.e. half of 110 days) completed 80 % of the work.
Suppose for the remaining 55 days, ‘m’ men completed the work,
∴ (160 × 55) / 80 = (m × 55) / 20
thus, m = 40.
thus, m = 40.
Thus 160 – 40 = 120 men will be discharged.
Most Upvoted Answer
A contractor undertook a project of building a canal 150 m long in 110...
Given information:
- Length of the canal to be built: 150 m
- Time taken to complete the project: 110 days
- Number of men initially employed: 160
- After half the number of days, 80% of the work was completed
The contractor needs to determine how many men he should discharge in order to finish the remaining work within the given time frame.
Solution:
Step 1: Calculate the work completed after half the number of days
- Half the number of days: 110/2 = 55 days
- Work completed after 55 days: 80% of the total work
- Work completed after 55 days = 0.8 * 150 = 120 m
Step 2: Calculate the remaining work
- Remaining work = Total work - Work completed after 55 days
- Remaining work = 150 - 120 = 30 m
Step 3: Calculate the work done per day
- Work done per day = Total work / Total number of days
- Work done per day = 150 / 110 = 1.36 m/day
Step 4: Calculate the number of days required to complete the remaining work
- Number of days required to complete the remaining work = Remaining work / Work done per day
- Number of days required to complete the remaining work = 30 / 1.36 = 22.06 days (approximately)
Step 5: Determine the number of men to be discharged
- Number of men initially employed: 160
- Number of days required to complete the remaining work: 22.06 days
- Number of men to be discharged = (Number of days required * Number of men initially employed) / Total number of days
- Number of men to be discharged = (22.06 * 160) / 110 = 32 (approximately)
Therefore, the contractor should discharge approximately 32 men in order to finish the remaining work within the given time frame.
- Length of the canal to be built: 150 m
- Time taken to complete the project: 110 days
- Number of men initially employed: 160
- After half the number of days, 80% of the work was completed
The contractor needs to determine how many men he should discharge in order to finish the remaining work within the given time frame.
Solution:
Step 1: Calculate the work completed after half the number of days
- Half the number of days: 110/2 = 55 days
- Work completed after 55 days: 80% of the total work
- Work completed after 55 days = 0.8 * 150 = 120 m
Step 2: Calculate the remaining work
- Remaining work = Total work - Work completed after 55 days
- Remaining work = 150 - 120 = 30 m
Step 3: Calculate the work done per day
- Work done per day = Total work / Total number of days
- Work done per day = 150 / 110 = 1.36 m/day
Step 4: Calculate the number of days required to complete the remaining work
- Number of days required to complete the remaining work = Remaining work / Work done per day
- Number of days required to complete the remaining work = 30 / 1.36 = 22.06 days (approximately)
Step 5: Determine the number of men to be discharged
- Number of men initially employed: 160
- Number of days required to complete the remaining work: 22.06 days
- Number of men to be discharged = (Number of days required * Number of men initially employed) / Total number of days
- Number of men to be discharged = (22.06 * 160) / 110 = 32 (approximately)
Therefore, the contractor should discharge approximately 32 men in order to finish the remaining work within the given time frame.
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Community Answer
A contractor undertook a project of building a canal 150 m long in 110...
Use (M*H*D)/work = constant
160*55/.8 = x*55/.2
> x= 40
No of persons discharged = 160-40 = 120
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A contractor undertook a project of building a canal 150 m long in 110 days and employed 160 men. However he found that after half the number of days 80 % of the work was completed. How many men will he discharge now so that the work will be finished in time? (in numerical value)Correct answer is '120'. Can you explain this answer?
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A contractor undertook a project of building a canal 150 m long in 110 days and employed 160 men. However he found that after half the number of days 80 % of the work was completed. How many men will he discharge now so that the work will be finished in time? (in numerical value)Correct answer is '120'. 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 contractor undertook a project of building a canal 150 m long in 110 days and employed 160 men. However he found that after half the number of days 80 % of the work was completed. How many men will he discharge now so that the work will be finished in time? (in numerical value)Correct answer is '120'. 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 contractor undertook a project of building a canal 150 m long in 110 days and employed 160 men. However he found that after half the number of days 80 % of the work was completed. How many men will he discharge now so that the work will be finished in time? (in numerical value)Correct answer is '120'. Can you explain this answer?.
A contractor undertook a project of building a canal 150 m long in 110 days and employed 160 men. However he found that after half the number of days 80 % of the work was completed. How many men will he discharge now so that the work will be finished in time? (in numerical value)Correct answer is '120'. 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 contractor undertook a project of building a canal 150 m long in 110 days and employed 160 men. However he found that after half the number of days 80 % of the work was completed. How many men will he discharge now so that the work will be finished in time? (in numerical value)Correct answer is '120'. 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 contractor undertook a project of building a canal 150 m long in 110 days and employed 160 men. However he found that after half the number of days 80 % of the work was completed. How many men will he discharge now so that the work will be finished in time? (in numerical value)Correct answer is '120'. Can you explain this answer?.
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A contractor undertook a project of building a canal 150 m long in 110 days and employed 160 men. However he found that after half the number of days 80 % of the work was completed. How many men will he discharge now so that the work will be finished in time? (in numerical value)Correct answer is '120'. Can you explain this answer?, a detailed solution for A contractor undertook a project of building a canal 150 m long in 110 days and employed 160 men. However he found that after half the number of days 80 % of the work was completed. How many men will he discharge now so that the work will be finished in time? (in numerical value)Correct answer is '120'. Can you explain this answer? has been provided alongside types of A contractor undertook a project of building a canal 150 m long in 110 days and employed 160 men. However he found that after half the number of days 80 % of the work was completed. How many men will he discharge now so that the work will be finished in time? (in numerical value)Correct answer is '120'. Can you explain this answer? theory, EduRev gives you an
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