Linear/Circular Race

Total Questions: 67

31. In a 2 km linear race, if P completes the race in 200 second and Q in 220 seconds, then the distance by which P beats Q is: [SSC CHSL 09/07/2024 (1st Shift)]

Correct Answer: (a) 181⁹⁄₁₁ metres
Solution:

32. In a 200-m race, if A gives B a head start of 35 m, then A wins the race by 20 sec. Alternatively, if A gives B a head start of 55 m, the race ends in a dead heat. How long does A takes to run 200 m? [Matriculation Level 21/06/2024 (Shift-1)]

Correct Answer: (b) 145 sec
Solution:

So, A will take 145 seconds to
cover a distance of 200 meters.

33. In a 3000 m race, if vehicle A gives vehicle B a start of 400 m, then vehicle A wins the race by 10 s. If vehicle A gives vehicle B a start of 750 m, then the race ends in a dead heat. How long does vehicle A take to run 3000 m ? [Matriculation Level 21/06/2024 (Shift-1)]

Correct Answer: (a) 64.3 s
Solution:

34. In a 300 m race, A beats B by 22.5 m or 6 seconds. Which of the following options is equal to B's time over the course? [Matriculation Level 21/06/2024 (Shift-4)]

Correct Answer: (d) 80 sec
Solution:

35. In a circular race of 2,500 m, Reeta and Geeta start running in the same direction from the same point and at the same time with speeds of 36 km/h and 54 km/h, respectively. After how much time will they meet for the first time on the track? [Higher Secondary 25/06/2024 (Shift-4)]

Correct Answer: (d) 500 second
Solution:

36. In a race of 400 m, Bhim gave Saral a head start by 20 m at the start of the race. Saral took 48 seconds to complete the race. What was the speed (in m/s) of Bhim if Saral defeated Bhim by a margin of 2 seconds? [Higher Secondary 26/06/2024 (Shift-2)]

Correct Answer: (b) 8
Solution:

Time taken by saral to complete the race = 48 sec
So, time taken by Bhim to complete the race = (48+2) sec
Now, Distance covered by Bhim = 400m
Hence, required speed
= 40048 + 2 = 40050 = 8m/s

37. A and B are participants in a 1,800 m circular race. A is running at a speed of 24 km/h and B is running at a speed of 15 km/h. If both start from the same point and at the same time and run in the same direction, find the time when they will meet again. (up to two decimal points) [Higher Secondary 26/06/2024 (Shift-2)]

Correct Answer: (b) 720 sec
Solution:

38. Reema runs 5/4 times as fast as Rekha. In view of this, Reema allows Rekha a lead of 50 metres to Rekha in a friendly race competition. What is the distance from the starting point where both Reema and Rekha meet? [SSC CPO 03/10/2023 (2nd Shift)]

Correct Answer: (d) 250 m
Solution:

39. In a 1200 m race, Rakesh reaches the final point in 36 seconds and Rajesh reaches in 40 sec. By how much distance does Rakesh beat Rajesh? [SSC CPO 05/10/2023 (3rd Shift)]

Correct Answer: (d) 120 m
Solution:Total distance of race = 1200 m
Rakesh reaches the final points in 36 seconds.
Rajesh reaches the final points in 40 seconds.
Rajesh's speed = 1200/40 = 30 m/s
Distance covered by Rajesh in 36 seconds = 30 × 36 = 1080 m.
Rakesh beats Rajesh by = 1200 - 1080 = 120m

40. In a 5 km race, S gave a 500 m head start to T. If they finished the race at the same time and the speed of T is 13.5 km/h, the speed of S is: [SSC CHSL 02/08/2023 (3rd Shift)]

Correct Answer: (a) 15 km/h
Solution: