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 A contractor employed 60 men to do a piece of work in 76 days. After 50 days, he employed 10 more men and the work was finished 2 day earlier. How many days he would have been behind, if he had not employed additional men?
  • a)
    1 day
  • b)
    2 days
  • c)
    3 days
  • d)
    4 days
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A contractor employed 60 men to do a piece of work in 76 days. After 5...
Answer –b) 2 days Explanation : Total work = 60*50 + 70*24 Now days = D D*60 = 60*50 + 70*24
We get D = 78, so 2 more days
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Most Upvoted Answer
A contractor employed 60 men to do a piece of work in 76 days. After 5...
Answer –b) 2 days Explanation : Total work = 60*50 + 70*24 Now days = D D*60 = 60*50 + 70*24
We get D = 78, so 2 more days
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Community Answer
A contractor employed 60 men to do a piece of work in 76 days. After 5...
Given information:
- Number of men initially employed: 60
- Number of days initially allocated for the work: 76
- Additional men employed after 50 days: 10
- Time taken to finish the work after employing additional men: 74 days

To solve this problem, we can use the concept of man-days. A man-day refers to the amount of work done by one person in one day.

Step 1: Calculate the total man-days required to complete the work before employing additional men.
- Total man-days = Number of men * Number of days
- Total man-days = 60 * 76 = 4560

Step 2: Calculate the total man-days available after 50 days.
- Total man-days available after 50 days = Number of men * Number of days
- Total man-days available after 50 days = 60 * 50 = 3000

Step 3: Calculate the additional man-days contributed by the 10 new workers.
- Additional man-days contributed by 10 new workers = Number of men * Number of days
- Additional man-days contributed by 10 new workers = 10 * 24 (since they worked for 24 days) = 240

Step 4: Calculate the remaining man-days required to complete the work after 50 days.
- Remaining man-days required = Total man-days - Total man-days available after 50 days
- Remaining man-days required = 4560 - 3000 = 1560

Step 5: Calculate the man-days contributed by each worker per day.
- Man-days contributed by each worker per day = Remaining man-days required / Number of additional workers
- Man-days contributed by each worker per day = 1560 / 10 = 156

Step 6: Calculate the number of days required to finish the work with the additional men.
- Number of days required to finish the work with additional men = Remaining man-days required / (Number of men + Number of additional workers)
- Number of days required to finish the work with additional men = 1560 / (60 + 10) = 24

Step 7: Calculate the number of days the contractor would have been behind if he had not employed additional men.
- Difference in days = Number of days initially allocated - Number of days required with additional men
- Difference in days = 76 - 24 = 52

Therefore, if the contractor had not employed additional men, he would have been behind by 52 days. However, since he employed additional men, he finished the work 2 days earlier. Thus, the answer is option 'B', 2 days.
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A contractor employed 60 men to do a piece of work in 76 days. After 50 days, he employed 10 more men and the work was finished 2 day earlier. How many days he would have been behind, if he had not employed additional men?a)1 dayb)2 daysc)3 daysd)4 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A contractor employed 60 men to do a piece of work in 76 days. After 50 days, he employed 10 more men and the work was finished 2 day earlier. How many days he would have been behind, if he had not employed additional men?a)1 dayb)2 daysc)3 daysd)4 dayse)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 60 men to do a piece of work in 76 days. After 50 days, he employed 10 more men and the work was finished 2 day earlier. How many days he would have been behind, if he had not employed additional men?a)1 dayb)2 daysc)3 daysd)4 dayse)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 60 men to do a piece of work in 76 days. After 50 days, he employed 10 more men and the work was finished 2 day earlier. How many days he would have been behind, if he had not employed additional men?a)1 dayb)2 daysc)3 daysd)4 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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