Question

    The ratio of downstream speed to upstream speed of a

    boat is 5:3. If the boat can cover 160 km in still water in 10 hours, then find the difference between the speed of the boat in still water and the speed of the stream.
    A 10 km/h Correct Answer Incorrect Answer
    B 18 km/h Correct Answer Incorrect Answer
    C 24 km/h Correct Answer Incorrect Answer
    D 12 km/h Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the speed of the stream be 'y' km/h. Speed of the boat in still water = 160/10 =16 km/h Given,   3(16+y) = 5(16−y) 4 8+3y = 80−5y 48+3y+5y = 80 8y = 32 y = 32/8 = 4 km/h Therefore, required difference = 16−4 = 12 km/h

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