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    Question

    A boat takes 15 hours to go downstream from point 'I' to

    point 'J' and 25 hours to return upstream. The distance between 'I' and 'J' is 150 km. How long would it take for the boat to cover 300 km in still water?
    A 25.05 hrs Correct Answer Incorrect Answer
    B 30.55 hrs Correct Answer Incorrect Answer
    C 37.5 hrs Correct Answer Incorrect Answer
    D 60.20 hrs Correct Answer Incorrect Answer

    Solution

    ATQ, Speed of the boat in still water 'b' and speed of the stream 's' Downstream speed equation: b + s = 150/15 = 10 km/h Upstream speed equation: b - s = 150/25 = 6 km/h Solving these, 2b = 16 = b = 8 km/h Time to travel 300 km in still water = 300/8 = 37.5 hrs The boat would take 37.5 hours to travel 300 km in still water.

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