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    As part of his journey, a person travels 120 km at 80 km/h, the next 100 km at 40 km/h, and comes back to the starting point at 75 km/h. The average s
    Question

    As part of his journey, a person travels 120 km at 80 km/h, the next 100 km at 40 km/h, and comes back to the starting point at 75 km/h. The average speed of the person throughout the journey (approximately) is:

    A.

    63.46 km/h

    B.

    58.74 km/h

    C.

    68.15 km/h

    D.

    49.58 km/h

    Correct option is A

    Given:
    The person travels 120 km at 80 km/h, 100 km at 40 km/h, and returns 220 km at 75 km/h.
    Formula Used:
    Average Speed = Total DistanceTotal Time\frac{\text{Total Distance}}{\text{Total Time}}​​
    Solution:
    Total Distance = 120 + 100 + 220 = 440 km
    Time for first part = 12080\frac{120}{ 80}​ = 1.5 hours
    Time for second part = 10040\frac{100}{ 40}​ = 2.5 hours
    Time for return =22075 \frac{220}{ 75}​ ≈ 2.93 hours
    Total Time ≈ 1.5 + 2.5 + 2.93 ≈ 6.93 hours
    Average Speed ≈4406.93 \frac{440}{ 6.93}​ ≈ 63.5 km/h

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