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    Question

    The difference between the time taken by a boat to

    travel 360 km upstream and 240 km downstream is 10 hours. The speed of the boat and the stream are ‘5x’ km/hr and ‘x’ km/hr, respectively. Find x.
    A 2 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Speed of boat = 5x km/hr Speed of stream = x km/hr Difference in time = 10 hours Time upstream = 360 / (4x) Time downstream = 240 / (6x) Equation: (360 / 4x) - (240 / 6x) = 10 Simplifying: (1080 / 12x) - (480 / 12x) = 10 600 / 12x = 10 600 = 120x x = 5

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