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    Question

    Priya travels a certain distance in 3 hours. Then she

    increases her speed by 6 km/hr and travels for 7 hours. If the distance covered with increased speed is 90 km more than the distance covered with the original speed, find the total distance covered by Priya.
    A 500 km Correct Answer Incorrect Answer
    B 240 km Correct Answer Incorrect Answer
    C 140 km Correct Answer Incorrect Answer
    D 162 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the initial speed of Priya be ‘x’ km/hr

    According to the question,

    (x + 6) × 7 – 3x = 90

    Or, 7x + 42 – 3x = 90

    Or, 4x = 48

    Or, x = 12 km/hr

    Therefore, total distance covered by Priya = 7(x + 6) + 3x = 7×18 + 36 = 162 km

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