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    Question

    A Motorboat takes 24 hours for travelling downstream

    from a point A to point B and coming back to point C, which is 1/3rd of distance between A and B. if the speed of the stream is 15 km/hr and the speed of the Motorboat in still water is 30 km/hr, then find out the distance between B and C?
    A 180 km Correct Answer Incorrect Answer
    B 240 km Correct Answer Incorrect Answer
    C 145.5 km Correct Answer Incorrect Answer
    D 266.66 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total distance AB be D km BC = 1/3rd of D Time taken to cover AB + Time taken to cover BC = 24 hours D/((30+15)) + D/(3(30-15))  = 24 D/45 + D/45 = 24 D = 540km ∴ Distance between A and B = 540 km And Distance Between C and B = 540 × 1/3 = 180km.

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