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A group of 60 men can complete a piece of work in a certain number of days. If 10 more men join them, then the work can be completed in 8 days less. How many days will be required to complete the same work by 100 men?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A group of 60 men can complete a piece of work in a certain number of ...
Let the amount of work done by 1 man in 1 day be w.
Let the total number of days taken initially to complete the work be d.
Let the amount of total work be W.
So, 60dw = W ...(i)
Now, when 70 men do the work, it takes 8 days less.
So, 70w(d - 8) = W ...(ii)
Equating (i) and (ii), we get:
60d = 70(d - 8)
d = 56
So, W = w × 60 × 56
Now, let 100 men take D days to complete the work.
So, 100 × D × w = W = w × 60 × 56
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A group of 60 men can complete a piece of work in a certain number of days. If 10 more men join them, then the work can be completed in 8 days less. How many days will be required to complete the same work by 100 men?a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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