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      Question

      'P' and 'Q' can complete a task in 36 days together. If

      'P' alone can do it in 60 days, how long would 'Q' take to finish the task alone?
      A 90 days Correct Answer Incorrect Answer
      B 75 days Correct Answer Incorrect Answer
      C 65 days Correct Answer Incorrect Answer
      D 45 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work be 180 units. {LCM (36 and 60)} So, combined efficiency of 'P' and 'Q' = 180 ├╖ 36 = 5 units/day Efficiency of 'P' = 180 ├╖ 60 = 3 units/day So, efficiency of 'Q' = 5 - 3 = 2 units/day So, time taken by 'Q' to do the work alone = 180 ├╖ 2 = 90 days

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