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    Question

    The ratio of the speed of boat ‘A’ in still water,

    the speed of boat ‘B’ in still water and the speed of the current is 7:5:2, respectively. If the time taken by boat ‘A’ to travel (7D – 40) km downstream is equal to the time taken by boat ‘B’ to travel (D + 70) km upstream, then find the value of ‘D’.
    A 60.5 Correct Answer Incorrect Answer
    B 65.5 Correct Answer Incorrect Answer
    C 62.5 Correct Answer Incorrect Answer
    D 61.5 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let, the speeds of boat ‘A’ and boat ‘B’, in still water and the speed of the current be 7x km/hr, 5x km/hr and 2x km/hr, respectively. According to the question, (7D – 40)/(7x + 2x) = (D + 70)/(5x – 2x) Or, 21D – 120 = 9D + 630 Or, 12D = 750 Or, D = 62.5

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