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    Question

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

    upstream is 9:4. If the boat can travel 560 km in downstream in 5 hours, then find the time taken by the boat to cover 24 km in still water.
    A 30 minutes Correct Answer Incorrect Answer
    B 20 minutes Correct Answer Incorrect Answer
    C 15 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 ‘9x’ km/h and ‘4x’ km/h, respectively. Speed of stream = 9x – 4x = 5x km/h Speed of boat in downstream = 9x + 5x = 14x km/h So, 14x = 560/5 = 112 Or, x = 8 Speed of boat in still water = 9 × 8 = 72 km/h Desired time = 24/72 = 20 minutes

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