PYQ Vault

Chase: a faster runner catches a slower one who has a head start in time or distance

This type of question, asked 5 times: CDS 1 2017, CDS 2 2018, CDS 2 2022, CDS 1 2024, CDS 2 2025. All 5 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2017

    44
    A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 8 km/hour and that of the policeman is 10 km/hour, then how far will the thief have to run before he is overtaken ?

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  2. Question 2

    CDS 2 2018

    43
    A thief steals a car parked in a house and goes away with a speed of 40 kmph. The theft was discovered after half an hour and immediately the owner sets off in another car with a speed of 60 kmph. When will the owner meet the thief ?

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  3. Question 3

    CDS 2 2022

    36
    A person X starts from a place A and another person Y starts simultaneously from another place B which is d km away from A. They walk in the same direction. X walks at an average speed of u km/hr and Y walks at an average speed of v km/hr. How far will X have walked before he overtakes Y ?

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  4. Question 4

    CDS 1 2024

    55
    Two trains A and B leave Delhi for Hyderabad at 7:00 a.m. and 7:50 a.m. on the same day and travel at 80 kmph and 100 kmph respectively. After how many kilometers from Delhi will the two trains be together ?

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  5. Question 5

    CDS 2 2025

    52
    Two persons XX and YY leave place PP for place QQ at 7:00 a.m. and 7:10 a.m. respectively along the same path. XX walks at a speed of 4.8 km/hr and YY walks at a speed of 6 km/hr. How many kilometres from place PP will XX meet YY?

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