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      Question

      Two men A and B started a job in which A was thrice as

      good as B and therefore took 60 days less than B to finish the job. How many days will they take to finish the job, if they start working together?
      A 15 days Correct Answer Incorrect Answer
      B 20 days Correct Answer Incorrect Answer
      C 22.5 days Correct Answer Incorrect Answer
      D 25 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

                            A              B Efficiency     3        :      1 Time              1       :      3 Difference in time = 60 days ⇒  3x - x = 60 ⇒  x = 30 days So, Total Work = 30 × 3 = 90 A and B can do work together in days = 90/4 = 22.5 days ∴  The required answer is 22.5 days.

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