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    Question

    A boat takes 28 hours for travelling downstream from

    point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 6km/hr and the speed of the boat in still water is 9 km/hr, what is the distance between A and B? 
    A 120 km Correct Answer Incorrect Answer
    B 40 km Correct Answer Incorrect Answer
    C 61 km Correct Answer Incorrect Answer
    D 64 km Correct Answer Incorrect Answer
    E 96 km Correct Answer Incorrect Answer

    Solution

    Downstream speed = 9+6 = 15 Upstream speed = 9-6 = 3 Now total time is 28 hours If distance between A and B is d, then distance BC = d/2 Now distance/speed = time, so d/15 + (d/2)/3= 28 Solve, d = 120 km

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