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      Question

      'Sunil', 'Arjun', and 'Rahul' can complete a task

      individually in 45, 60, and 90 days respectively. All began the work together, but Sunil and Arjun left 11 and 6 days before work completion respectively. Calculate the total time to finish the task. (Calculate approximate value)
      A 65 days Correct Answer Incorrect Answer
      B 13 days Correct Answer Incorrect Answer
      C 78 days Correct Answer Incorrect Answer
      D 27 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work be 180 units (LCM of 45, 60, 90)

      Efficiency of Sunil = 180 / 45 = 4 units/day

      Efficiency of Arjun = 180 / 60 = 3 units/day

      Efficiency of Rahul = 180 / 90 = 2 units/day

      Let total time = n days

      (4 + 3 + 2)(n - 11) + (3 + 2)(5) + 2(6) = 180

      Or, 9n - 99 + 25 + 12 = 180

      Or, 9n = 242

      So, n = 242 / 9 = 26.88 ≈ 27 days

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