The time taken to do a piece of work is inversely proportional to the number of men employed. if it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?

  • A 15 days
  • B 12 days
  • C 5 days
  • D 9 days

The correct answer is D. 9 days

Let t be the time taken to do the work and m be the number of men employed. Since the time taken to do a piece of work is inversely proportional to the number of men employed, we can write the relationship as t = k/m, where k is the constant of proportionality. From the given information, we know that if it takes 45 men to do a piece of work in 5 days, then 5 = k/45. Solving for k, we find that k = 225.

Now, if 25 men are employed to do the same piece of work, then the time taken would be t = k/m = 225/25 = 9 days. So, it will take 25 men 9 days to do the same piece of work.

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