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    Question

    The speed of a boat in still water is 30 km/hr. If the

    boat covers 160 km in upstream in 8 hours, then find the time taken by the boat to travel 120 km in downstream.
    A 2.5 hours Correct Answer Incorrect Answer
    B 5 hours Correct Answer Incorrect Answer
    C 3 hours Correct Answer Incorrect Answer
    D 3.5 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) = 160/8 = 20 km/hr Or, 30 – y = 20 Or, y = 30 – 20 = 10 km/hr Therefore, downstream speed of the boat = 30 + 10 = 40 km/hr Required time taken = 120/40 = 3 hours

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