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      Question

      A translator ‘X’ and a translator ‘Y’ can

      translate a book in 12 hours and 18 hours, respectively. If both translators work together, then how much time do they need to translate 75% of the book?
      A 5.4 hrs Correct Answer Incorrect Answer
      B 10.5 hrs Correct Answer Incorrect Answer
      C 6.5 hrs Correct Answer Incorrect Answer
      D 12.4 hrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let total pages of the book be 36 {LCM of (12 and 18)} Efficiency of translator ‘X’ = (36/12) = 3 pages/hour Efficiency of translator ‘Y’ = (36/18) = 2 pages/hour Required time = {(0.75 × 36) / (3 + 2)} = 5.4 hours

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