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    Question

    A boat takes 15 hours to travel 150 km upstream. When

    its speed is doubled, it covers 150 km downstream in 3 hours. Find the speed of the stream.
    A 10 km/h Correct Answer Incorrect Answer
    B 20 km/h Correct Answer Incorrect Answer
    C 30 km/h Correct Answer Incorrect Answer
    D 45 km/h Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Upstream speed of the boat = 150 ÷ 15 = 10 km/h Let the original speed of the boat in still water be 'x' km/h and speed of the stream be 'y' km/h. So, x - y = 10 ...... (I) Downstream speed of the boat when doubled = 150 ÷ 3 = 50 So, 2x + y = 50 ......... (II) On adding (I) and (II): 3x = 60 x = 20 So, 20 - y = 10 y = 10 Speed of the stream = 10 km/h

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