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      Question

      'P' is 25% less efficient than 'Q'. 'Q' takes 20 days less

      than 'P' to complete the same task. Find how much time 'Q' will take to complete the work if he works at 75% of his efficiency.
      A 50 days Correct Answer Incorrect Answer
      B 28 days Correct Answer Incorrect Answer
      C 80 days Correct Answer Incorrect Answer
      D 65 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the efficiency of 'Q' be '10x' units/day

      So, efficiency of 'P' = 10x × 0.75 = '7.5x' units/day

      So, ratio of efficiency of time taken by 'P' and 'Q' = 10x : 7.5x = 4 : 3

      Let time taken by 'P' and 'Q' be '4y' days and '3y' days

      So, 4y - 3y = 20

      So, y = 20

      Time taken by Q to finish the work = 3 × 20 = 60 days

      So, required time = 60 ÷ 0.75 = 80 days

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