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      Question

      Person 'X' can finish a task in 40 days while 'Y' can do it

      in 50 days. How long will it take if both work together?
      A 36.36 days Correct Answer Incorrect Answer
      B 64.55 days Correct Answer Incorrect Answer
      C 22.22 days Correct Answer Incorrect Answer
      D 11.11 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work be 200 units (LCM of 40 and 50)

      Efficiency of 'X' = 200 Γ· 40 = 5 units/day

      Efficiency of 'Y' = 200 Γ· 50 = 4 units/day

      Required time = 200 Γ· (5 + 4) = 22.22 days

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