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    Question

    Speed of a boat in still water is 25% less than its

    downstream speed. If the upstream speed of the boat is 24 km/h, find the downstream distance covered by the boat in 150 minutes.
    A 120 km Correct Answer Incorrect Answer
    B 100 km Correct Answer Incorrect Answer
    C 145 km Correct Answer Incorrect Answer
    D 165 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the speed of boat in still water be 'v' km/h and speed of stream be 'y' km/h
    v = 0.75 ├Ч (v + y)
    Or, 4v = 3v + 3y
    Or, v = 3y
    Upstream speed of boat = 3y тИТ y = 2y km/h
    So, 2y = 24
    Or, y = 12
    Downstream speed of boat = 3y + y = 4y = 4 ├Ч 12 = 48 km/h
    Required distance = 48 ├Ч (150 ├╖ 60) = 120 km

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