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    • Question

      If ‘X’ finishes a project in 24 days whereas ‘X’

      and ‘Y’ working together can finish it in 15 days, then determine the time ‘Y’ alone will take to finish the project.
      A 25 days Correct Answer Incorrect Answer
      B 40 days Correct Answer Incorrect Answer
      C 12 days Correct Answer Incorrect Answer
      D 27 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work = 120 units {LCM (24 and 15)}

      Efficiency of ‘Y’ = (120/24) = 5 units/day

      Efficiency of ‘X’ and ‘Y’ together = (120/15) = 8 units/day

      Efficiency of ‘Y’ = (8 – 5) = 3 units/day

      Time taken by ‘Y’ to complete the project alone = (120/3) = 40 days

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