Linear/Circular Race

Total Questions: 67

1. M and N walk along a circular track. They start at 5:00 a.m. from the same point in the opposite directions. M and N walk at a speed of 5 rounds per hour and 2 rounds per hour, respectively. How many times will they cross each other before 6.30 a.m. on the same day? [SSC CGL 12/09/2024 (1st Shift)]

Correct Answer: (a) 10
Solution:

2. In a circular path of 619 m, Preeti and Rani start walking in opposite directions from the same point at the speed of 2.85 km/h and 5.4 km/h, respectively. When will they meet for the first time approximately? [Matriculation Level 20/06/2024 (Shift-1)]

Correct Answer: (c) After 4.50 minutes
Solution:

3. Two friends P and Q simultaneously start running from the same point around a circular track. They run in the same direction. P runs at 6 m/sec and Q runs at b m/sec. If they cross each other at exactly two points on the circular track and b is a natural number less than 6, then how many values can b take? [SSC CGL 14/07/2023 (3rd shift)]

Correct Answer: (b) 1
Solution:

4. In a 150-m race, if R gets a 5-metre head start, then he would beat S by 35 metres. If S gets a 25-metre head start in a 100-metre race, then______ would win the race by_______metres. [Graduate Level 20/06/2024 (Shift-3)]

Correct Answer: (d) S; 5.44
Solution:

5. Ram and Shyam are racing along a circular track. The speed of Ram is thrice the speed of Shyam. The length of the circular track is 1440 m. After the start of the race from the same point simultaneously, Ram meets Shyam for the first time at the end of the 8th minute. If Ram and Shyam start the race again from the same starting point simultaneously, then the time taken by Shyam to finish the race is: (given that the length of the race is same as the length of the track) [SSC CGL 26/07/2023 (2nd shift)]

Correct Answer: (b) 16 min
Solution:

6. In a race, there are 4 members in a team. Each member has to cover 5 km one after another. If the total time taken is 30 minutes, then what would have been the average speed? [SSC CGL 06/12/2022 (4th Shift)]

Correct Answer: (b) 40 km/hr
Solution:

7. A and B are running on a circular track of length 1400 metres. The speed of A is 33 m/sec and the speed of B is 47 m/sec. They start from the same point at the same time in the opposite direction. After how much time will they meet for the second time? [SSC CHSL 17/08/2023 (2nd Shift)]

Correct Answer: (c) 35 sec
Solution:

8. In a 120 metre race, P beats S by 6 metres. If S starts with a head start of 7.5 metres and it is a 100 metre race, then who wins the race and how many metres? (Correct to 2 decimal places) [SSC CHSL 14/08/2023 (3rd Shift)]

Correct Answer: (a) S, 2.63
Solution:

9. Savitha and Pranika decided to run a 2250 m long race on a track as long as the length of the race. But Savitha gave Pranika a 396 m head start and also allowed her to start 9 seconds before Savitha started running. Pranika ran at 6 m/per second and Savitha caught up with Pranika 250 seconds after Savitha started running. What was Savitha's speed (in m/s) during the race? [SSC CHSL 11/08/2023 (4th Shift)]

Correct Answer: (b) 7.8
Solution:

10. Two people A and B started running from the same point on a circular track of length 400 m in opposite directions with initial speeds of 10 m/s and 40 m/s, respectively. Whenever they meet, A's speed doubles and B's speed halves. After what time from the start will they meet for the third time? [SSC CHSL 09/08/2023 (4th Shift)]

Correct Answer: (c) 26 sec
Solution: