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Average speed over two parts of a journey at different speeds

This type of question, asked 2 times: 10 May 2023 S2, 15 May 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    10 May 2023 S2

    10
    A vehicle runs on a straight road of length 'L'. It travels half the distance with speed V and the remaining distance with speed V3\frac{V}{3}. Its average speed is

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  2. Question 2

    15 May 2026 S2

    103
    A person travelling in a straight line moves with uniform velocity V1V_1 for a distance xx and with a uniform velocity V2V_2 for the next 3x2\dfrac{3x}{2} distance. The average velocity in this motion is 507\dfrac{50}{7} m/s. If V1V_1 is 55 m/s then V2V_2 (in m/s) is

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