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    Question

    Speed of a boat in still water to speed of boat in

    upstream is 16: 13. If the boat can travel 228 km in downstream in 6 hours, then find the time taken by the boat to cover 24 km in still water.
    A 30 minutes Correct Answer Incorrect Answer
    B 40 minutes Correct Answer Incorrect Answer
    C 45 minutes Correct Answer Incorrect Answer
    D 18 minutes Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let speed of boat in still water and speed of boat in upstream be ‘16x’ km/h and ‘13x’ km/h, respectively. Speed of stream = 16x – 13x = 3x km/h Speed of boat in downstream = 16x + 3x = 19 km/h So, 19x = 228/6 => x = 2 Speed of boat in still water = 16 × 2 = 32 km/h Desired time = 24/32 x 60 = 45 minutes

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