PYQ Vault

Average speed over successive stretches covered at different speeds

This type of question, asked 7 times: 28 Jun 2022, 25 Jan 2023, 30 Jan 2023, 1 Feb 2023, 10 Apr 2023, 9 Apr 2024, 2 Apr 2025. All 8 questions below, oldest first.

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  1. Question 1

    28 Jun 2022

    120
    A car covers ABAB distance with first one-third at velocity v1 ms−1v_{1}{\text{ }ms}^{- 1}, second one-third at v2 ms−1v_{2}{\text{ }ms}^{- 1} and last one-third at v3 ms−1v_{3}{\text{ }ms}^{- 1}. If v3=3v1,v2=2v1v_{3}= 3v_{1},v_{2}= 2v_{1} and v1=11 ms−1v_{1}= 11{\text{ }ms}^{- 1} then the average velocity of the car is ____\_\_\_\_ ms−1ms^{- 1}.
  2. Question 2

    25 Jan 2023

    10
    A car travels a distance of ' xx ' with speed v1v_{1} and then same distance ' xx ' with speed v2v_{2} in the same direction. The average speed of the car is:

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  3. Question 3

    30 Jan 2023

    23
    A horse rider covers half the distance with 5 m/s5\text{ }m/s speed. The remaining part of the distance was travelled with speed 10 m/s10\text{ }m/s for half the time and with speed 15 m/s15\text{ }m/s for other half of the time. The mean speed of the rider averaged over the whole time of motion is x7 m/s\frac{x}{7}\text{ }m/s. The value of xx is
  4. Question 4

    30 Jan 2023

    96
    A vehicle travels 4 km4\text{ }km with speed of 3 km/h3\text{ }km/h and another 4 km4\text{ }km with speed of 5 km/h5\text{ }km/h, then its average speed is

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  5. Question 5

    1 Feb 2023

    9
    An object moves with speed v1,v2v_{1},v_{2} and v3v_{3} along a line segment AB,BCAB,BC and CDCD respectively as shown in figure. Where AB=BCAB = BC and AD=3ABAD = 3AB, then average speed of the object will be:

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  6. Question 6

    10 Apr 2023

    91
    A person travels xx distance with velocity v1v_{1} and then xx distance with velocity v2v_{2} in the same direction. The average velocity of the person is vv, then the relation between v,v1v,v_{1} and v2v_{2} will be:

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  7. Question 7

    9 Apr 2024

    2
    A particle moving in a straight line covers half the distance with speed 6 m/s6\text{ }m/s. The other half is covered in two equal time intervals with speeds 9 m/sm/s and 15 m/s15\text{ }m/s respectively. The average speed of the particle during the motion is:

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  8. Question 8

    2 Apr 2025

    25
    A person travelling on a straight line moves with a uniform velocity v1v_{1} for a distance x and with a uniform velocity v2v_{2} for the next 32x\frac{3}{2}x distance. The average velocity in this motion is 507 m/s\frac{50}{7}\text{ }m/s. If v1v_{1} is 5 m/s5\text{ }m/s then v2=v_{2} = ____\_\_\_\_ m/sm/s.