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    Find the average speed when the first half of a journey is done at a speed of 60 km/h and the second half ata speed of 40 km/h.
    Question

    Find the average speed when the first half of a journey is done at a speed of 60 km/h and the second half ata speed of 40 km/h.

    A.

    52 km/h

    B.

    45 km/h

    C.

    50 km/h

    D.

    48 km/h

    Correct option is D

    Given:
    Speed for the first half of the journey = 60 km/h
    Speed for the second half of the journey = 40 km/h
    Formula Used:
    The formula for the average speed when the distance is the same but speeds are different is:
    Average speed=2×Speed1×Speed2Speed1+Speed2\text{Average speed} = \frac{2 \times \text{Speed}_1 \times \text{Speed}_2}{\text{Speed}_1 + \text{Speed}_2}​​
    Solution:
     the speed for the first half of the journey be 60 km/h
    the speed for the second half be 40 km/h.
    Using the formula for average speed:
    Average speed=2×60×4060+40 Average speed=2×2400100 Average speed=4800100=48km/h\text{Average speed} = \frac{2 \times 60 \times 40}{60 + 40} \\ \ \\\text{Average speed} = \frac{2 \times 2400}{100} \\ \ \\\text{Average speed} = \frac{4800}{100} = 48 \text{km/h}​​
    Thus, the average speed for the entire journey is 48 km/h.

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