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    Question

    Which of the following pair of symbols will define the

    relation between Quantity I and Quantity II Quantity 1: A boat covers 60 km upstream in 6 hours and the speed of the stream is 4 km/h. What is the speed of the boat in still water? Quantity 2: A boat covers 80 km downstream in 5 hours, and the speed of the stream is 5 km/h. What is the speed of the boat in still water?
    A Quantity 1 > Quantity 2 Correct Answer Incorrect Answer
    B Quantity 1 < Quantity 2 Correct Answer Incorrect Answer
    C Quantity 1 = Quantity 2 Correct Answer Incorrect Answer
    D Quantity I ≤ Quantity II Correct Answer Incorrect Answer
    E Quantity I ≥ Quantity II Correct Answer Incorrect Answer

    Solution

    For Quantity 1: Let the speed of the boat in still water be b. Upstream speed = b - 4 km/h 60/(b - 4) = 6 ⟹ b - 4 = 10 ⟹ b = 14 km/h Quantity 1 = 14 km/h For Quantity 2: Let the speed of the boat in still water be b. Downstream speed = b + 5 km/h 80/(b + 5) = 5 ⟹ b + 5 = 16 ⟹ b = 11 km/h Quantity 2 = 11 km/h Correct option: a) Quantity 1 > Quantity 2

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