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      Question

      β€˜D’ can type a document in 45 days, but β€˜D’ and

      β€˜E’ together can do it in 27 days. If β€˜E’ worked for 15 days alone and then left, in how many days will β€˜D’ finish the rest?
      A 20 days Correct Answer Incorrect Answer
      B 38 days Correct Answer Incorrect Answer
      C 12 days Correct Answer Incorrect Answer
      D 35 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let total work = 135 {L.C.M of 45 and 27}

      Efficiency of β€˜D’ = 135 Γ· 45 = 3 units/day

      Combined efficiency of β€˜D’ and β€˜E’ = 135 Γ· 27 = 5 units/day

      So, efficiency of β€˜E’ = 5 – 3 = 2 units/day

      Work done by β€˜E’ in 15 days = 2 Γ— 15 = 30 units

      Remaining work = 135 – 30 = 105 units

      Time taken by β€˜D’ = 105 Γ· 3 = 35 days

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