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Circular track: time to first meet from track length and relative speed

This type of question, asked 14 times: 17 Jul 2023 S1, 21 Jul 2023 S3, 24 Jul 2023 S2, 26 Jul 2023 S4, 27 Jul 2023 S1, 27 Jul 2023 S3, 9 Sep 2024 S1, 9 Sep 2024 S2, 10 Sep 2024 S1, 13 Sep 2024 S2, 18 Sep 2024 S2, 25 Sep 2024 S3, 26 Sep 2024 S1, 26 Sep 2024 S3. All 14 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    17 Jul 2023 S1

    64
    On a circular path of 693 m, Sujata and Anjali start walking from the same point but in the opposite directions at the speed of 2.85 km/h and 1.5 m/sec, respectively. When they will meet for the first time?

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  2. Question 2

    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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  3. Question 3

    24 Jul 2023 S2

    69
    In a circular race of 4225 m, X and Y start from the same point and at the same time at speeds of 54 km/h and 63 km/h. When will they meet again for the first time on the track when they are running in the opposite direction?

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  4. Question 4

    26 Jul 2023 S4

    75
    A circular running path is 1452 m in circumference. Two men start from the same point and walk in opposite direction at the speed of 7.5 km/h and 9 km/h, respectively. When will they meet for the first time?

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  5. Question 5

    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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  6. Question 6

    27 Jul 2023 S3

    71
    In a circular path of 600 m, Pankaj and Rohit start walking in opposite directions from the same point at the speeds of 2.85 m/s and 5.4 km/h, respectively. After how many minutes will they meet for the first time? (Rounded off to one decimal point)

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  7. Question 7

    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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  8. Question 8

    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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  9. Question 9

    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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  10. Question 10

    13 Sep 2024 S2

    55
    P and Q start running in opposite directions on a circular track from the same point. If their speeds are 10 m/s and 8 m/s, respectively, then after what time will they meet if the length of the track is 1620 m?

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  11. Question 11

    18 Sep 2024 S2

    62
    In a circular race of 4800m, A and B start from the same point and at the same time with speeds of 36 km/h and 54 km/h. When will they meet again for the first time on the track if they are running in the opposite direction?

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  12. Question 12

    25 Sep 2024 S3

    66
    Seema walks around a circular field at the rate of 3 rounds per hour, while Priya runs around it at the rate of 8 rounds per hour. They start in the same direction from the same point at 11:54 p.m. They shall first cross each other at:

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  13. Question 13

    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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  14. Question 14

    26 Sep 2024 S3

    73
    In a circular race of 1600 m in length, Bhaskar and Vinay start with speeds of 27 km/h and 45 km/h starting at the same time from the same point. When will they meet for the first time on the track when running in the opposite directions and the same direction, respectively?

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