Question

    A man can row at 6 km/hr in still water. If the velocity

    of current is 3 km/hr and it takes him 1 hour to row to a place and come back, how far is the place?
    A 4 km Correct Answer Incorrect Answer
    B 2.25 km Correct Answer Incorrect Answer
    C 4.5 km Correct Answer Incorrect Answer
    D 4.2 km Correct Answer Incorrect Answer
    E 5.25 km Correct Answer Incorrect Answer

    Solution

    Let the distance be x km. Speed upstream = 6 – 3 = 3 km/hr Speed downstream = 6 + 3 = 9 km/hr ⇒ x/3 + x/9 = 1 ⇒ (6x + 2x)/18 = 1 ⇒ 8x = 18 ⇒ x = 18/8 = 2.25 km

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