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      Question

      Efficiencies of workers A, B, and C are in the ratio 5:7:8

      respectively. If B and C can do the work in 9 days, then in how many days can A and B finish the work together?
      A 14.29 days Correct Answer Incorrect Answer
      B 26.55 days Correct Answer Incorrect Answer
      C 19.25 days Correct Answer Incorrect Answer
      D 11.25 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let efficiencies of A, B, and C be 5x, 7x, and 8x units/day respectively.

      Total work = (7x + 8x) Γ— 9 = 135x units

      Required time = 135x Γ· (5x + 7x) = 135x Γ· 12x = 11.25 days

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