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    Question

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

    upstream is 10:7. If the boat can travel 260 km in downstream in 5 hours, then find the time taken by the boat to cover 26 km in still water.
    A 39 minutes Correct Answer Incorrect Answer
    B 45 minutes Correct Answer Incorrect Answer
    C 75 minutes Correct Answer Incorrect Answer
    D 48 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 lsquo;10xrsquo; km/h and lsquo;7xrsquo;
    km/h, respectively.
    Speed of stream = 10x ndash; 7x = 3x km/h
    Speed of boat in downstream = 10x + 3x = 13x km/h
    So, 13x = 260/5
    =gt; x = 4
    Speed of boat in still water = 10 times; 4 = 40 km/h
    Desired time = 26/40 x 60 = 39 minutes

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