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    Question

    The following questions contain three statements statement I, statement II and statement III. You have to determine which statement/s is/are necessary to answer the question and give an answer as.

    What is the speed of boat A in still water?

    Statement I: Boat A takes 4 hours to travel 48 km downstream, while the speed of the current is 3 km/h. Statement II: Boat A takes 6 hours to travel 54 km upstream against the same current.               
    A Statement I alone is sufficient to answer the question Correct Answer Incorrect Answer
    B Statement II alone is sufficient to answer the question Correct Answer Incorrect Answer
    C Either statement I alone or statement II alone is sufficient to answer the question Correct Answer Incorrect Answer
    D Both statements together are necessary to answer the question Correct Answer Incorrect Answer
    E Both statements together are not sufficient to answer the question Correct Answer Incorrect Answer

    Solution

    Statement I: Boat A takes 4 hours to travel 48 km downstream. Speed of current = 3 km/h. Let the speed of the boat in still water be B km/h. Downstream speed = B+3 km/h. Using the formula:

    From this equation, we get = B = 12−3 = 9 km/h This statement alone is sufficient to find the speed of the boat.

    Statement II: Boat A takes 6 hours to travel 54 km upstream. Upstream speed = B−3 km/h. Using the formula: From this equation, we get = B = 9+3 = 12 km/h This statement alone is also sufficient to find the speed of the boat.

    Hence, Both Statement I alone and Statement II alone are sufficient to answer the question. Therefore, Either statement I or II alone is sufficient.

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