PYQ Vault

Equal distances at different speeds: average speed, a missing speed or the distance

This type of question, asked 5 times: CDS 2 2016, CDS 2 2017, CDS 1 2018, CDS 1 2022, CDS 2 2026. All 5 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2016

    99
    A motorist travels to a place 150 km away at an average speed of 50 km/hour and returns at 30 km/hour. What is the average speed for the whole journey ?

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  2. Question 2

    CDS 2 2017

    40
    A boy went to his school at a speed of 12 km/hr and returned to his house at a speed of 8 km/hr. If he has taken 50 minutes for the whole journey, what was the total distance walked ?

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  3. Question 3

    CDS 1 2018

    48
    A car has an average speed of 60 km per hour while going from Delhi to Agra and has an average speed of yy km per hour while returning to Delhi from Agra (by travelling the same distance). If the average speed of the car for the whole journey is 48 km per hour, then what is the value of yy?

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  4. Question 4

    CDS 1 2022

    19
    A car travels from AA to BB at a speed of 40 km/hr, travels back from BB to AA at a speed of 30 km/hr and again goes from AA to BB at a speed of 60 km/hr. What is the average speed of the car?

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  5. Question 5

    CDS 2 2026

    94
    A cyclist pedals from her house to her office at a speed of 3 kmph and back from the office to her house at 6 kmph. What is the average speed ?

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