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      Question

      β€˜X’ and β€˜Y’ can do a task together in 15 days.

      If β€˜X’ alone takes 25 days to complete it, then how much time will β€˜Y’ take to finish the task alone?
      A 50/19 days Correct Answer Incorrect Answer
      B 26/11 days Correct Answer Incorrect Answer
      C 75/2 days Correct Answer Incorrect Answer
      D 11/5 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let total work = 75 units. {LCM (15 and 25)}

      Combined efficiency = 75 Γ· 15 = 5 units/day

      Efficiency of 'X' = 75 Γ· 25 = 3 units/day

      Efficiency of 'Y' = 5 - 3 = 2 units/day

      Time taken by 'Y' alone = 75 Γ· 2 = (75/2) days

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