Question

    The speed of a boat in still water is 25 km/hr. If the boat covers 160 km in upstream in 10 hours, then find the time taken by the boat to travel 204 km in downstream.

    A 6 hours Correct Answer Incorrect Answer
    B 5 hours Correct Answer Incorrect Answer
    C 3 hours Correct Answer Incorrect Answer
    D 4 hours Correct Answer Incorrect Answer

    Solution

    Let the speed of the boat in still water and the speed of the current be ‘x’ km/hr and ‘y’ km/hr, respectively Upstream speed of the boat = (x – y) = 160/10 = 16 km/hr Or, 25 – y = 16 Or, y = 25 – 16 = 9 km/hr Therefore, downstream speed of the boat = 25 + 9 = 34 km/hr Required time taken = 204/34 = 6 hours

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