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Circular track, same direction: time to first meet

The same question, asked 6 times: 21 Jul 2023 S3*, 27 Jul 2023 S1*, 9 Sep 2024 S1*, 9 Sep 2024 S2*, 10 Sep 2024 S1*, 26 Sep 2024 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    21 Jul 2023 S3

    62
    In a circular race of 1600 m, A and B start from the same point and at the same time with speeds of 27 km/h and 45 km/h, respectively. After how long will they meet again for the first time on the track when they are running in the same direction?

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  2. Question 2

    27 Jul 2023 S1

    56
    Sohan and Amit started a car race from the same point in the same direction and at the same time on a circular track of length 1125 m with speeds of 36 km/h and 54 km/h, respectively. After how much time (in seconds) will they meet for the first time since the start of the race?

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  3. Question 3

    9 Sep 2024 S1

    53
    In a circular race of 840840 m, A and B start running in the same direction at the same time from the same point at the speeds of 66 m/s and 1212 m/s, respectively. After how much time will they meet next?

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  4. Question 4

    9 Sep 2024 S2

    67
    Varun and Sandeep started for a car race from the same point, in the same direction and at the same time on a circular track of length 1635 m with the speeds of 90 km/h and 108 km/h, respectively. After how much time (in s) will they meet again for the first time?

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  5. Question 5

    10 Sep 2024 S1

    74
    In a circular race of 750 m, X and Y start from the same point and at the same time with speeds of 9 km/h and 13.5 km/h, respectively. If they are running in the same direction then, when will they meet again for the first time on the track?

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  6. Question 6

    26 Sep 2024 S1

    65
    Two athletes are participating in a race on a circular track of 220 m. Ravi runs at the speed of 22 m/s, while Kapil runs at the speed of 11 m/s. They start from the same point, at the same time and in the same direction. After how many seconds will they meet for the first time?

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