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    Question

    Quantity I : The rate at which the train must run to reduce the time to 30 minutes. A train takes 40 minutes for a journey if it runs at 72 km/hr.

    Quantity II : The speed of the train, Shailendra travelled 400 km by train and 300 km by taxi. It took him 4 hrs and 10 min. However, if he travels 360 km by train and 540 km by taxi, he takes 56 minutes more.

    A Quantity I > Quantity II Correct Answer Incorrect Answer
    B Quantity I < Quantity II Correct Answer Incorrect Answer
    C Quantity I ≥ Quantity II Correct Answer Incorrect Answer
    D Quantity I ≤ Quantity II Correct Answer Incorrect Answer
    E Quantity I = Quantity II or no relation Correct Answer Incorrect Answer

    Solution

    Quantity I: Distance = 72 × 40/60 = 48 km Speed = 48/(30/60) = 96 km/hr Quantity II: Let the speed of train is x km/hr and speed of taxi is y km/hr 400/x + 300/y = 25/6 4/x + 3/y = 1/24 ……….. (1) 360/x + 540/y = 51/10 120/x + 180/y = 17/10 …………. (2) By solving 1 and 2, We get x = 150 km/hr and y = 200 km/hr so Quantity II = 150 km/hr Hence, Quantity I < Quantity II

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