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      Question

      A is five times as efficient as B and can finish a piece

      of work in 36 days less than B. B can finish this work in how many days?
      A 40 days Correct Answer Incorrect Answer
      B 42 days Correct Answer Incorrect Answer
      C 52 days Correct Answer Incorrect Answer
      D 45 days Correct Answer Incorrect Answer

      Solution

      Ratio of efficiency of A and B = 5: 1
      A will take 1/5 of time as compared to B.
      Say, B takes 5x days and A takes x days.
      ∴ 5x – x = 36 ⇒ x = 9
      ∴ B takes 9 × 5 = 45 days to do the work.

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