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    Question

    Two boats X and Y start towards each other from two

    places, 155 km apart. Speed of the boat X and Y in still water are 14 km/hr and 17 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, ⇒ (14 + x) t + (17 – x) t = 155 ⇒ 14t + 17t = 155 ⇒ 31t = 155 ⇒ t = 155/31 = 5 hours

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