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A project manager hired 16 men to complete a project in 40 days. However after 30 days he realized that only 4/9 th of the work is complete. How many more men does he need to hire to complete the project on time ?
  • a)
    30
  • b)
    32
  • c)
    44
  • d)
    40
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A project manager hired 16 men to complete a project in 40 days. Howev...
16*30 / 4/9 = M * 10/5/9
16*30*9/ 4 = M *10*9/5
1080 = 18M
M = 1080/18 = 60
Men required = 60 – 16 = 44
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Community Answer
A project manager hired 16 men to complete a project in 40 days. Howev...
Given:
Number of men hired = 16
Number of days to complete the project = 40
Fraction of work completed in first 30 days = 4/9

Let's assume that the total work is represented by 9 units. Therefore, the work completed in the first 30 days is 4 units and the remaining work is 5 units.
The work done by 16 men in 30 days = 4 units
Therefore, the work done by 1 man in 30 days = 4/(16*30) = 1/120
To complete 1 unit of work, 120 men are required to work for 1 day.
Therefore, to complete 5 units of work in 10 days, the total number of men required = 5*120/10 = 60

Now, the total number of men required to complete the project on time = 16 + 60 = 76
Therefore, the number of additional men required to complete the project on time = 76 - 16 = 60

Hence, option (c) 44 is the correct answer.
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