Linear/Circular Race

Total Questions: 67

21. Two athletes X and Y are jogging on a circular path whose circumference is 500 m. Athlete X jogs at a speed of 18 km/h and Y jog at 9 km/h, jogging in opposite directions. The time at which they will meet for the first time is: [SSC MTS 29/10/2024 (Evening)]

Correct Answer: (a) 66.66 s
Solution:

22. A and B start running on a circular race track whose length is 3240 m. A and B start from the same point and at the same time, but in opposite directions. If A runs at a speed of 10 m/s and they cross each other 3 minutes after they start running, then what is B's speed (in m/s)? [SSC MTS 05/11/2024 (Afternoon)]

Correct Answer: (d) 8
Solution:

23. In a circular race of 840 m, A and B start running in the same direction at the same time from the same point at the speeds of 6 m/s and 12 m/s, respectively. After how much time will they meet next? [SSC CGL 09/09/2024 (1st Shift)]

Correct Answer: (a) 140 s
Solution:

24. 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? [SSC CGL 11/09/2024 (1st Shift)]

Correct Answer: (c) 3 minutes 20 seconds
Solution:

According to the question,

25. 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 ? [SSC CGL 13/09/2024 (2nd Shift)]

Correct Answer: (d) 90 seconds
Solution:

26. Arvind and Chetan started running simultaneously from the same point in the same direction on a circular track of length 210 m. If Arvind takes 180 seconds to complete one round, and Chetan takes 420 seconds to complete one round, after how much time will they meet for the first time at the starting point on the track ? [SSC CGL 17/09/2024 (3rd Shift)]

Correct Answer: (c) 21 minutes
Solution:

27. 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: [SSC CGL 25/09/2024 (3rd Shift)]

Correct Answer: (c) 12 : 06 a.m.
Solution:

28. 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? [SSC CGL 26/09/2024 (3rd Shift)]

Correct Answer: (a) 1 minute 20 seconds and 5 minutes 20 seconds
Solution:

29. Arun and Bhaskar run a race of 3 km. First, Arun gives Bhaskar a head start of 400 m and beats him by 30 seconds. While coming back, Arun gives Bhaskar a lead of 2.5 minutes and gets beaten by 500 m. What is the difference between the times in minutes in which Arun and Bhaskar can run the race for one side separately? [SSC CHSL 04/07/2024 (2nd Shift)]

Correct Answer: (b) 1.5 min
Solution:

30. In a 100-m race. A beats B by 20 m and B beats C by 5 m. In the same race, find the distance by which A beats C. [SSC CHSL 04/07/2024 (4th Shift)]

Correct Answer: (b) 24 m
Solution: