If 10 men can construct a building in 40 days. How long will it take 20 men to do this work?

Answer: 20 days
Explanation

This is a classic inverse proportion problem:
More men → Less time required.

Given:
  • 10 men take 40 days

  • 20 men will take ? days

Since the number of men and the number of days are inversely proportional:


text{Men}_1 times text{Days}_1 = text{Men}_2 times text{Days}_2
10 times 40 = 20 times x
400 = 20x Rightarrow x = frac{400}{20} = 20

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