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      Question

      Two boats X and Y start towards each other from two

      places, 189 km apart. Speed of the boat X and Y in still water are 12 km/hr and 15 km/hr respectively. If X proceeds down and Y up the stream, they will meet after.
      A 4 hours Correct Answer Incorrect Answer
      B 5 hours Correct Answer Incorrect Answer
      C 6 hours Correct Answer Incorrect Answer
      D 7 hours Correct Answer Incorrect Answer
      E 8 hours Correct Answer Incorrect Answer

      Solution

      Let the speed of the stream be x km/hr and both the boats meet after t hours According to the question, ⇒ (12 + x) t + (15 – x) t = 189 ⇒ 12t + 15t = 189 ⇒ 27t = 189 ⇒ t = 189/27 = 7 hours

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