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      Question

      'D' and 'P' can do a work alone in 40 days and 50 days

      respectively. If the efficiency of 'D' is increased by 60% and 'P' decreases its efficiency by 50%, then find the number of days taken by them to complete the work while working together.
      A 25 days Correct Answer Incorrect Answer
      B 20 days Correct Answer Incorrect Answer
      C 30 days Correct Answer Incorrect Answer
      D 15 days Correct Answer Incorrect Answer

      Solution

      Let total work be 200x units (LCM of 40 and 50) So, efficiency of 'D' = (200x/40) = 5x units/day So, efficiency of 'P' = (200x/50) = 4x units/day New efficiency of 'D' = 5x X 1.6 = 8x units/day New efficiency of 'P' = 4x X 0.5 = 2x units/day So, required efficiency = 8x + 2x = 10x units/day Therefore, required time = (200x/10x) = 20 days

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