Linear/Circular Race

Total Questions: 67

51. In a 1200 m circular race, A and B start at the same time from the same position in the same direction at speeds of 18 km/h and 27 km/h, respectively. In how much time after the start of race will they meet for the first time on the track? [SSC CHSL Tier II (26/06/2023)]

Correct Answer: (b) 480 seconds
Solution:

52. Farhan and Aman are going from Delhi to Haryana. The difference and sum of their speeds are 40 km/hour and 60 km/hour respectively. If in a race Farhan can finish 8 minutes earlier than Aman, then find the distance they both should cover. [SSC CHSL 21/03/2023 (1st Shift)]

Correct Answer: (a) 5/3km
Solution:

Let speed of Farhan be x km/hr,

53. In a 1500 m race, Anil - beats Bakul by 150 m and in the same race Bakul beats Charles by 75 m. By what distance does Anil beat Charles? [SSC CGL 01/12/2022 (1st Shift)]

Correct Answer: (a) 217.50 m
Solution:

54. In a 400 metre race, A runs at a speed of 16 m/sec. If A gives B a start of 15 metres and still beats him by 10 sec, then what is the speed of B? [SSC CGL 02/12/2022 (2nd Shift)]

Correct Answer: (a) 11 m/sec
Solution:

55. In a 1200 m race, bike A beats bike B by 100 m. Bike B beats bike C by 100 m in a 600 m race. If bike A beats bike C by 30 sec in a 720 m race, then what is the speed of bike C ? [SSC CGL 03/12/2022 (4th Shift)]

Correct Answer: (a) 17/3 m/sec
Solution:

56. Geeta runs 5/2 times as fast as Babita. In a race, if Geeta gives a lead of 40m to Babita, find the distance from the starting point where both of them will meet (correct up to two decimal places). [SSC CPO 10/11/2022 (Morning)]

Correct Answer: (a) 66.67m
Solution:

Speed of Geeta = 5 m/sec
Speed of Babita = 2 m/sec
Relative speed of Geeta wrt Babita
= 5-2 = 3 m/sec
Time taken to cover 40m distance = 40/3 sec
Now, the distance from the starting point where they meet
= 5 × 40/3 = 200/3 = 66.67m

57. A and B run a 12 km race on a circular track of length 1200 m. They complete one round in 300 seconds and 400 seconds, respectively. After how much time from start will the faster person meet the slower person for the last time? [SSC CPO 10/11/2022 (Evening)]

Correct Answer: (a) 2400 seconds
Solution:

58. A gives B seconds in a 1500 m race and both finish the race at the same time. What is the time taken by A (in minutes) to finish the a head-start of 10 race if the speed of B is 6 m/s? [SSC CPO 11/11/2022 (Afternoon)]

Correct Answer: (b) 4
Solution:

59. Joy and Kat run around a circular track of length 1100 m in opposite directions with initial speed of 6 m/sec and 4 m/sec, respectively. Starting from the same point whenever they meet, Joy's speed halves and Kat's speed doubles. After how much time from the beginning will they meet for the second time? [Graduate Level 05/08/2022 (Shift - 3)]

Correct Answer: (b) 210 sec
Solution:

60. Rahul runs at a speed of 6 km/h in a 100-metre race. Rahul gives Bharat a start of 4 metres and still beats him by 4 seconds. Find Bharat's speed. [Higher Secondary 01/08/2022 (Shift-3)]

Correct Answer: (c) 5.4 km/h
Solution: