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      Question

      A woman is one-third as efficient as a man. How much time

      will 9 women take to complete a job that is 75% of the work done by 10 men in 12 days?
      A 30 days Correct Answer Incorrect Answer
      B 20 days Correct Answer Incorrect Answer
      C 35 days Correct Answer Incorrect Answer
      D 40 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the efficiency of each man be 3x units/day

      So, total work = 3x Γ— 10 Γ— 12 = 360x units

      And efficiency of a woman = 3x Γ· 3 = x units/day

      So, required time = (360x Γ— 0.75) Γ· (9 Γ— x) = 30 days

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