Time, Speed and Distance (Part-5)

Total Questions: 50

11. Sudhin cycled at 8.5 km/h for 4 hours, then took an auto and travelled at 20 km/h for 1.5 hours, and then walked at 4 km/h for y hours. If Sudhin's overall average speed for the entire journey was 10 km/h, what is the value of y? [SSC CGL 18/07/2023 (4th shift)]

Correct Answer: (c) 1.5
Solution:

12. On day one, with speed v, R covers a distance x, in t time. On the next day, he covers a distance 2.5x in 0.75t time. What is his speed the next day? [SSC CGL 19/07/2023 (1st shift)]

Correct Answer: (b) (10/3) v
Solution:

13. A thief committed a crime and escaped from the spot at a speed of 12 m/h. A Security guard started chasing him 20 minutes after the thief started running and caught him in the next 20 minutes. What is the speed (in meter/hour) of the Security guard? [SSC CGL 19/07/2023 (2nd shift)]

Correct Answer: (a) 24
Solution:

14. Ram rides at the rate of 36 km/h but stops for five minutes to take a drink at the end of every 10 km. Find the time that Ram will take to cover a distance of 84 km. [SSC CGL 20/07/2023 (4th shift)]

Correct Answer: (a) 180 minutes
Solution:

Total drink break taken by ram = 8 × 5 = 40 min.
= 84/36 = 21/9 hours = 140 min.
Total time = 140 + 40 = 180 min.

15. The distance between two towns is covered in 7 hours and 30 minutes at the speed of 72 km/h. The time saved if the speed is increased by 25% is: [SSC CGL 21/07/2023 (2nd shift)]

Correct Answer: (c) 1 hour 30 minutes
Solution:

16. S₁ and S₂ are two stations which are 195 km apart. A train starts from S₁ at 4:00 pm and moves towards S₂ at the speed of 65 km/h. Another train starts from S₂ at 5:00 pm and moves towards S₁ at the speed of 35 km/h. At what time will the two trains meet? [SSC CGL 21/07/2023 (3rd shift)]

Correct Answer: (d) 6:18 p.m
Solution:

17. Two men walk from a place at speeds of 9 km/h and 12 km/h, respectively. The first man takes 20 minutes more than the second one to cover the journey. Find the distance of the journey. [SSC CGL 24/07/2023 (2nd shift)]

Correct Answer: (d) 12 km
Solution:

18. An airplane travels five times as fast as a bus. If the bus covers 60 km in 80 minutes, then what distance (in km) will the airplane cover in 25 minutes? [SSC CGL 24/07/2023 (3rd shift)]

Correct Answer: (b) 93.75
Solution:

19. Ramesh, on his way to his hometown, travelled the first 250 km at a speed of 75km/h and the next 250 km at a speed of 85 km/h. Find the average speed for the whole journey (correct to 2 decimal places). [SSC CGL 25/07/2023 (2nd shift)]

Correct Answer: (b) 79.69km/h
Solution:

20. A thief steals an item and escapes, running at 20 km/h. A policeman arrives at the spot of the crime after 6 minutes and immediately starts chasing the thief. 24 minutes after the policeman started to chase the thief, there is still a gap of 400 m between the two. At what distance from the spot of crime would the policeman catch up with the thief, and what is the speed at which the policeman ran ? [SSC CGL 26/07/2023 (1st shift)]

Correct Answer: (d) 12 km; 24 km/h
Solution: