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      Question

      Alok finishes 60% of a project in 30 days, while Neha

      finishes 20% of the same in 15 days. Alok worked for 25 days and then stopped. Find the time taken by Neha to complete the remaining project.
      A 75.5 days Correct Answer Incorrect Answer
      B 61.5 days Correct Answer Incorrect Answer
      C 52.5 days Correct Answer Incorrect Answer
      D 37.5 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Alok’s total time = 30 / 0.60 = 50 days

      Neha’s total time = 15 / 0.20 = 75 days

      Total work = LCM(50, 75) = 150 units

      Efficiency of Alok = 150 / 50 = 3 units/day

      Efficiency of Neha = 150 / 75 = 2 units/day

      Work done by Alok = 25 × 3 = 75 units

      Remaining work = 150 - 75 = 75 units

      Time by Neha = 75 / 2 = 37.5 days

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