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    Question

    Speed of a boat in still water is three times the speed

    of the boat in upstream. If the boat takes 30 minutes to cover 40 km in downstream, then find the speed of the boat in still water.
    A 49 km/h Correct Answer Incorrect Answer
    B 47 km/h Correct Answer Incorrect Answer
    C 43 km/h Correct Answer Incorrect Answer
    D 48 km/h Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let speed of the boat in still water be ‘3x’ km/h. Speed of the boat in upstream = 3x ÷ 3 = ‘x’ km/h Speed of the stream = 3x – x = ‘2x’ km/h Speed of the boat in downstream = 3x + 2x = ‘5x’ km/h ATQ; (40/30) × 60 = 80 So, 5x = 80 Or, x = 16 So, speed of the boat in still water = 3 × 16 = 48 km/h

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