Linear/Circular Race

Total Questions: 67

11. In a 1000 m race, Arjun, Balaji and Charan are running. Arjun beats Balaji by 100 m, and Balaji beats Charan by 100 m. In the next 1000 m race (the speeds are the same as in the previous), Balaji gives Charan a trail of 100 m, and Arjun gives Balaji a trail of 100 m. Find the distance by which the winner is ahead of the person just behind him. [SSC CGL 13/12/2022 (1st Shift)]

Correct Answer: (d) 20 m
Solution:

12. In a 1500 m race, if vehicle P gives vehicle Q a start of 200 m, then vehicle P wins the race by 8 sec. Alternatively, if vehicle P gives vehicle Q a start of 400 m, the race ends in a dead heat. How long does vehicle P take to run 1500 m ? [SSC CGL 07/12/2022 (1st Shift)]

Correct Answer: (a) 44 sec
Solution:

Let the speed of P is x m/s
and the speed of Q is y m/s.

13. In a circular race of 2500 m, a man and a woman start from a point towards opposite directions with speeds of 37 km/h and 35 km/h, respectively. After how much time from the start of the race will they meet for the first time? [SSC CHSL 02/06/2022 (Morning)]

Correct Answer: (c) 2 min 5 sec
Solution:

14. In a 200 m walk race, Zakia walks at an average speed of 5 km/h. She gives a start of 20 m to Veena and still beats her by 18 seconds. What is the average speed of Veena (in km/h)? [SSC MTS 20/10/2021 (Morning)]

Correct Answer: (c) 4
Solution:

15. In the 100 m race A beats B by 10 m and B beats C by 10m. By what distance A beats C (in m) ? [SSC MTS 9/08/2019 (Afternoon)]

Correct Answer: (a) 19
Solution:

16. Tarun gives Hari a head-start of 60 seconds in a 2400 m race and still beats him by 40 seconds. If the speed of Hari is 6 m/s, find the speed of Tarun. [SSC CHSL Tier II (18/11/2024)]

Correct Answer: (a) 8 m/s
Solution:

17. In a circular race of 1500 m, P and Q start from the same point and at the same time, at speeds of 20 km/h and 35 km/h, respectively. After what time will they meet for the first time on the track if they are running in the same direction? [SSC MTS 30/09/2024 (Evening)]

Correct Answer: (d) 360 sec
Solution:

18. In a 5-km race, A beats B by 750 metres and C by 1260 metres. By how many metres does B beat C in the same race ? [SSC MTS 08/10/2024 (Afternoon)]

Correct Answer: (b) 600 metres
Solution:

19. Three students of class VII participated in a race during a school sports day. In a 1 km race, A wins the race with B by 100 m, and in a 300 m race, B beats C by 50 m. Then in the race of 1 km, with what margin will A beat C ? [SSC MTS 15/10/2024 (Afternoon)]

Correct Answer: (d) 250 m
Solution:

20. Ajit walks around a circular field at the speed of two rounds per hour, while Mohit runs around it at the speed of 10 rounds per hour. They start in the same direction from the same point at 6.30 a.m. Find the time at which they cross each other. [SSC MTS 16/10/2024 (Morning)]

Correct Answer: (d) 06 : 40 : 00
Solution: