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    Question

    The ratio of the speed of a boat in still water to its

    speed in downstream is 6:8. If the difference between the time taken by the boat to travel 288 km each in upstream and in downstream is 3 hours, then find the speed of the boat in still water.
    A 72 Correct Answer Incorrect Answer
    B 22 Correct Answer Incorrect Answer
    C 89 Correct Answer Incorrect Answer
    D 38 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the speed of the boat in still water and its speed in downstream be '6y' km/h and '8y' km/h. So, speed of the stream = 8y - 6y = '2y' km/h And, speed of the boat in upstream = 6y - 2y = '4y' km/h According to the question, Hence, speed of boat in still water is 6y = 12×6  = 72

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