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    Question

    A boat travels 150 km downstream in 6 hours. The

    difference between its downstream speed and upstream speed is 3 km/h. What is the ratio of the boat's speed in still water to the speed of the stream?
    A 11:12 Correct Answer Incorrect Answer
    B 20:21 Correct Answer Incorrect Answer
    C 47:3 Correct Answer Incorrect Answer
    D 17:3 Correct Answer Incorrect Answer

    Solution

    ATQ;
    Downstream speed = 150 ÷ 6 = 25 km/h
    Let boat speed in still water = b, stream speed = s
    Downstream = b + s = 25
    Upstream = b – s
    Difference between downstream and upstream = (b + s) – (b – s) = 2s = 3
    Hence s = 1.5
    Then b = 25 – s = 23.5
    Required ratio = 23.5 : 1.5 = 47 : 3

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