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      Question

      The ratio of time taken by P, Q and R to complete work

      alone is 4:5:2 respectively. If all three together complete the work in 8 days, then find in how many days P alone will complete three-fourth of the same work?
      A 18 days Correct Answer Incorrect Answer
      B 9.3 days Correct Answer Incorrect Answer
      C 22.8 days Correct Answer Incorrect Answer
      D 19.5 days Correct Answer Incorrect Answer

      Solution

      Ratio of efficiency of P, Q & R = 5 : 4 : 10 So, let total work = (5x + 4x + 10x) Γ— 8 = 152x unit Required days = 152x Γ— 3/4 Γ— 1/5x = 22.8 days

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