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      Question

      Priya completes 30% of a task in 9 days. Her efficiency is

      50% greater than Meera's. How many days will it take for both Priya and Meera, working together, to finish the entire task?
      A 18 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,
      Priya alone can complete the full task in (9/0.3) = 30 days.
      Efficiency of Priya = 1.5Ă— efficiency of Meera.
      So, Meera alone can complete the work in (30Ă—1.5) = 45 days.
      Let the total work be 90 units
      (LCM of 30 and 45)
      (LCM of 30 and 45).
      Efficiency of Priya = 90/30 = 3 units/day
      Efficiency of Meera = 90/45 = 2 units/day
      Together, their efficiency = (3+2) = 5 units/day.
      Total time required = 90/5 = 18 days.

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