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    • Question

      Leela and Laila, working together, can complete a task

      in 18 days. Given that Laila is 125% more efficient than Leela, how long would it take for Laila to finish the task by herself?
      A 26 days Correct Answer Incorrect Answer
      B 30 days Correct Answer Incorrect Answer
      C 28 days Correct Answer Incorrect Answer
      D 21 days Correct Answer Incorrect Answer

      Solution

      Let the efficiency of Leela alone = 4 units/day Then, efficiency of Laila alone = 4 + 4 X 1.25 = 9 units/day So, total work = (4 + 9) X 18 = 234 units And so, time taken by Laila alone to complete the work = 234 ÷ 9 = 26 days Hence, option a.

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