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    Question

    A man is travelling at a speed of 40 km/h such that he will

    take 90 minutes to reach his destination. But after completing half the journey, the man took a break of 15 minutes and then continued his journey. Find the speed at which the man must cover rest of the journey to reach his destination in original time.
    A 50 km/h Correct Answer Incorrect Answer
    B 72 km/h Correct Answer Incorrect Answer
    C 60 km/h Correct Answer Incorrect Answer
    D 48 km/h Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    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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