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    A person travels in a car for 600 km at an average speed of 50 km/h and 100 km at 100 km/h, and finally reaches his destination by travelling 50 km at
    Question

    A person travels in a car for 600 km at an average speed of 50 km/h and 100 km at 100 km/h, and finally reaches his destination by travelling 50 km at a speed of 25 km/h. Determine the average speed during the whole journey.

    A.

    50 km/h

    B.

    75 kmh

    C.

    58.33 km/h

    D.

    25 km/h

    Correct option is A

    Given:

    The total distance covered is 600 km, 100 km, and 50 km.

    ​The speeds for each segment of the journey are 50 km/h, 100 km/h, and 25 km/h respectively.

    Formula used:

     Average Speed=Total DistanceTotal  Time \text{ Average Speed}=\frac{\text{Total Distance}}{Total \  Time}​​

    Solution:

    ​Total distance = 600  + 100  + 50  = 750 km

    Total time = 12 hours + 1 hour + 2 hours = 15 hours

    Average speed = 75015\frac{750}{15}​ = 50 km/h

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