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    Question

    In the question, two quantities i.e. Quantity I and Quantity II are given. Solve the given quantities to establish the correct relation between them and choose the correct option

    Pawan, Qureshi, and Rittu can run 120 meters in 't'

    seconds, 't−2' seconds, and 't+3' seconds respectively. The speeds of Pawan and Rittu are in the ratio 5:4. Quantity I: In a 300-meter race between Qureshi and Rittu, what will be the distance between them at the moment the winner finishes the race? Quantity II: In a 320-meter race between Pawan and Rittu, what will be the distance between them at the moment the winner finishes the race?
    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 relation can be established Correct Answer Incorrect Answer

    Solution

    ATQ, 120 = 5 × t = 4 × (t + 3) 5t = 4t + 12 t = 12 Speed of Pawan = 120/12 = 10 m/s Speed of Qureshi = 120/(12 - 2) = 120/10 = 12 m/s Speed of Rittu = 120/(12 + 3) = 120/15 = 8 m/s Quantity I, Distance between Qureshi & Rittu, when winner finish the race = 300 - 300/12 × 8 = 300 - 200 = 100 m Quantity II, Distance between Pawan & Rittu, when winner finish the race = 320 - 320/10 × 8 = 320 - 256 = 64 m Hence, Quantity I > Quantity II

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