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      Question

      Pawan completes 40% of a task in 6 days. His efficiency

      is 100% greater than Qureshi's. How many days will it take for both Pawan and Qureshi, working together, to finish the entire task?
      A 10 days Correct Answer Incorrect Answer
      B 15 days Correct Answer Incorrect Answer
      C 12 days Correct Answer Incorrect Answer
      D 5 days Correct Answer Incorrect Answer

      Solution

      ATQ,
      Pawan’ alone can do the complete work in (6/0.4) = 15 days
      Efficiency of ‘Pawan’ = 2 × efficiency of ‘Qureshi’
      As, we know efficiency is inversely proportional to time taken when work done is constant.
      So, ‘Qureshi’ alone can complete the work = (15 × 2) = 30 days
      Let the total work be 30 units {LCM of 15 and 30}
      Efficiency of ‘Pawan’ = (30/15) = 2 units/day
      Efficiency of ‘Qureshi’ = (30/30) = 1 unit/day
      So, time taken by ‘Pawan’ and ‘Qureshi’ to complete the work together = (30/3) = 10 days

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