Question

    In the question, two quantities I and II are given. You

    have to solve both the quantities to establish the correct relation between Quantity-I and Quantity-II and choose the correct option. Quantity I : A boat running downstream covers a distance of 20 km in 4 hrs, while for covering the same distance upstream it takes 5 hrs. Speed of boat in still water. (in kmph) Quantity II : A boat can cover a distance of 48 km in 3 hrs in still water. If speed of current is 4kmph, then the difference between time of boat to cover the same distance upstream (in hrs)
    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 or No relation Correct Answer Incorrect Answer
    E Quantity-I ≥ Quantity-II Correct Answer Incorrect Answer

    Solution

    Quantity I: Rate downstream = 20/4 = 5 kmph Rate upstream = 20/5 = 4 kmph Speed of boat in still water = 1/2 × (4+5) = 4.5 kmph Quantity II: Speed in still water = 48/3 = 16 kmph Speed of current = 4 kmph Time taken to cover distance upstream = 48/(16-4) = 4 hr Difference in time = 4 – 3 = 1 hr Therefore, Quantity I > Quantity II

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