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    Question

    Armaan is traveling at a speed of 40 km/h, and it takes

    him 90 minutes to reach his office. However, after completing half of the journey, Armaan took a breakfast break of 15 minutes and then continued his journey. Determine the speed at which Armaan must cover the rest of the journey to reach his office in the original time.
    A 60 km/h Correct Answer Incorrect Answer
    B 65 km/h Correct Answer Incorrect Answer
    C 55 km/h Correct Answer Incorrect Answer
    D 40 km/h Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Total distance to be covered = 40 × (90/60) = 60 km Time taken to cover half the distance at original speed = {(60 ÷ 2) ÷ 40} × 60 = 45 minutes Time remaining = 90 – 45 – 15 = 30 minutes Required speed = 30 ÷ 30 × 60 = 60 km/h

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