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    A person covers a total distance of 270 km by bike. In the first 4 hours, the speed is 50 km/h, and it decreases to 35 km/h in the remaining journey.
    Question

    A person covers a total distance of 270 km by bike. In the first 4 hours, the speed is 50 km/h, and it decreases to 35 km/h in the remaining journey. What is the average speed of the bike?

    A.

    39 km/h

    B.

    45 km/h

    C.

    48 km/h

    D.

    42 km/h

    Correct option is B


    Given:
    Total Distance = 270 km
    In the first 4 hours, its speed is 50 km/h and it decreases to 35 km/h in the remaining journey.
    Formula Used:
    Average Speed = Total Distance/Total Time
    Solution:
    Total Distance = 270 km
    In the first 4 hours, its speed is 50 km/h
    ⇒ Distance covered = 50 × 4 = 200 km
    Remaining distance covered in 35 km/h
    ⇒ Time = (270 - 200)/35
    ⇒ 2 h
    Total Time = 4 + 2 = 6 h
    Average speed = 270/6
    ⇒ 45 km/h
    ∴ The average speed of the bike is 45 km/h.

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