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    A train travels the first 200 km of a journey at a speed of 100 km/h and the remaining 150 km at a speed of 75 km/h. What is the average speed (in km/
    Question

    A train travels the first 200 km of a journey at a speed of 100 km/h and the remaining 150 km at a speed of 75 km/h. What is the average speed (in km/h) of the train for the entire journey?

    A.

    92.5

    B.

    87.5

    C.

    85

    D.

    90

    Correct option is B

    Given:
    First distance = 200 km
    Speed for the first distance = 100 km/h
    Second distance = 150 km
    Speed for the second distance = 75 km/h
    Formula Used:
    Average speed = Total distance ÷ Total time
    Time = Distance ÷ Speed
    Solution:
    Total distance = 200 + 150 = 350 km
    Time for first distance = 200 ÷ 100 = 2 hours
    Time for second distance = 150 ÷ 75 = 2 hours
    Total time = 2 + 2 = 4 hours
     Average speed = 350 ÷ 4 = 87.5 km/h
    ∴ The correct answer is 87.5 km/h.

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