PYQ Vault

Race with two different head-start conditions: time of a runner

This type of question, asked 2 times: 24 Jul 2023 S3, 11 Sep 2024 S1. All 2 questions below, oldest first.

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  1. Question 1

    24 Jul 2023 S3

    59
    In a 200-m linear race, if A gives B a start of 25 m, then A wins the race by 10 seconds. Alternatively, if A gives B a start of 45 m, the race ends in a dead heat. How long does A take to run 200m?

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  2. Question 2

    11 Sep 2024 S1

    74
    Atul gives Vishu a head-start of 20 seconds in a 900 m race and beats him by 135 m. While running the same race again Atul gives a start of 189 m and beats him by 8 seconds. In how much time can Vishu complete the full race of 900 m?

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