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    Question

    The downstream speed of a boat is 6 km/hr more than its

    upstream speed and the ratio of the speed of the boat in still water to the speed of the stream is 11:3. Find the total time taken by boat to travel 42 km downstream and 32 km upstream?
    A 7 hrs Correct Answer Incorrect Answer
    B 8 hrs Correct Answer Incorrect Answer
    C 9 hrs Correct Answer Incorrect Answer
    D 9.5 hrs Correct Answer Incorrect Answer
    E 10 hrs Correct Answer Incorrect Answer

    Solution

    Let the speed of boat in still water be x km/hr and that of stream be y km/hr. ATQ, ⇒ (x + y) – (x – y) = 6 ⇒ y = 3 km/hr ⇒ x = 3 × 11/3 = 11 km/hr Required time = [42/(11+3)] + [32/(11−3)] = 7 hr

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