Question

    The ratio of the speed of the boat in upstream to that

    of in downstream is 5:9, respectively. If the speed of the current is 7 km/h, then find the speed of the boat in still water.
    A 25.9 km/h Correct Answer Incorrect Answer
    B 30.5 km/h Correct Answer Incorrect Answer
    C 24.5 km/h Correct Answer Incorrect Answer
    D 33.5 km/h Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to the question: Let the speed of the boat in still water = x km/h Speed of the boat downstream = (x+7) km/h Speed of the boat upstream = (x−7) km/h ATQ, (x−7):(x+7)=5:9 9(x−7)=5(x+7) 9x−63=5x+35 9x−5x=35+63 4x=98 x=24.5 km/h

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