Question

    A boat can travel 36 km downstream in 45 min. The ratio

    of the speed of the boat in still water to the speed of the stream is 5: 1. How much time will the boat take to cover 38 km upstream?
    A 1 hour 12 min Correct Answer Incorrect Answer
    B 1 hour 10 min Correct Answer Incorrect Answer
    C 1 hour 50 min Correct Answer Incorrect Answer
    D 2 hour 30 min Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Speed of downstream = D/T = 36 × (60/45) = 48 km/hr The ratio of the speed of the boat in still water to the speed of the stream = 5: 1 (5x, x) => 6x = 48 => x = 8 Speed of upstream = 5x – x = 4x = 32 km/hr Distance = 38 km Time = D/S = 38/32 = 1(1/5) hr = 1 hour 12 min

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