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      Question

      R and S take 10 days and 15 days respectively to complete a task alone. If they alternate work every day starting with R, how much time will it take to finish the job?

      A 12 days Correct Answer Incorrect Answer
      B 18 days Correct Answer Incorrect Answer
      C 22 days Correct Answer Incorrect Answer
      D 32 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Total work = 30 units (LCM of 10 and 15)

      R’s efficiency = (30 Γ· 10) = 3 units/day

      S’s efficiency = (30 Γ· 15) = 2 units/day

      In 2 days = 3 + 2 = 5 units

      Time = (30 Γ· 5) Γ— 2 = 12 days

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