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      Question

      β€˜R’ and β€˜S’ can complete an assignment in 72

      days and 90 days respectively while β€˜R’, β€˜S’ and β€˜T’ together can complete the same assignment in 24 days. Find the time taken by β€˜T’ alone to complete 30% of the work.
      A 12 days Correct Answer Incorrect Answer
      B 18 days Correct Answer Incorrect Answer
      C 10 days Correct Answer Incorrect Answer
      D 22 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ Let total amount of work = 360 units (LCM of 72 and 90) Amount of work done by β€˜R’ in one day = 360/72 = 5 units Amount of work done by β€˜S’ in one day = 360/90 = 4 units Amount of work done by β€˜R’, β€˜S’ and β€˜T’ in one day = 360/24 = 15 units Amount of work done by β€˜T’ in one day = 15 – 5 – 4 = 6 units Desired time = (0.30 Γ— 360)/6 = 18 days

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