Time, Speed and Distance

Total Questions: 50

1. A policeman noticed a thief at some distance. The policeman started running to catch the thief and the thief also started running at the same time. The speed of both the policeman and the thief was 12 km per hour and 10 km per hour, respectively. It took 30 minutes for the policeman to catch the thief. Find the initial distance (in metres) between them. [SSC CGL 25/09/2024 (2nd Shift)]

Correct Answer: (c) 1000
Solution:

2. The distance (d) a moving body travels, varies directly with the time (t) when it moves. A train travels 72 km in 2 hours. Find the equation that relates d and t. [SSC CPO 28/06/2024 (2nd Shift)]

Correct Answer: (c) d = 36t
Solution:

3. A thief steals an item and escapes, running at 13.5 km/h. A policeman arrives at the spot of the crime after 8 minutes and immediately starts chasing the thief. 28 minutes after the policeman started to chase the thief, there is still a gap of 540 m between the two. At what distance from the spot of the crime would the policeman catch up with the thief, and what is the speed (in km/h ) at which the policeman ran ? [Graduate Level 26/06/2024 (Shift - 3)]

Correct Answer: (b) 10.8 km, 16.2
Solution:

4. A police station, a bank and a safe house for the thiet are in a straight line with a bank in between. The distance between the police station and the safe house is four times the distance between the bank and the safe house. After looting the bank at 9:15 A.M, the thief runs away. A policeman gets the information instantly and chases him at the speed of 16 km/h. The policeman catches the thief at the gate of the safe house in fifteen minutes. What is the distance between the bank and the police station? [Higher Secondary 25/06/2024 (Shift - 2)]

Correct Answer: (d) 3 km
Solution:

5. While travelling from A to B, Raghav travels a quarter of the distance at 10 km/h, the next quarter of the distance at 15 km/h, the third quarter of the distance at 20 km/h, and the final quarter of the distance at 30 km/h. While travelling on exactly the same route, Manish travels for a quarter of the total time taken for his journey at 10 km/h, the next quarter of the total time taken for his journey at 15 km/h, the third quarter of the total time taken for his journey at 20 km/h, and the final quarter of the total time taken for his journey at 30 km/h. If the overall average speed of Raghav during his journey is given as y km/h, and that of Manish is given as z km/h, find the value of (z - y). [Graduate Level 21/06/2024 (Shift - 3)]

Correct Answer: (b) 2.75
Solution:

6. A man runs for 40 km. The time taken by him in the first 10 km is twice the time taken by him in the second 10 km. The time taken in the third 10 km is half of the time taken in the fourth 10 km, and the time taken in the fourth 10 km is equal to the time taken in the first 10 km. If his speed in the first 10 km is 40 km/h, then what is the average speed for 40 km? [SSC CPO 03/10/2023 (1st Shift)]

Correct Answer: (a)
Solution:

7. If a person walks at 18 km/hr instead of 12 km/hr, he would have walked 24 km more. What is the actual distance travelled by him? [SSC MTS 14/09/2023 (2nd Shift)]

Correct Answer: (d) 48 km
Solution:

8. The distance between two towns is covered in 9 hours at a speed of 60 kmph. By how much should the speed (in km/h) be increased so that 1 hour of the travelling time is saved? [SSC MTS 14/09/2023 (1st Shift)]

Correct Answer: (a) 7.5
Solution:

9. If the ratio among the time taken by three cars to travel a certain distance is 2:3:5, then the ratio of speeds of these cars will be: [SSC MTS 11/09/2023 (1st Shift)]

Correct Answer: (d) 15:10:6
Solution:

10. Anil completed a certain journey by a car. If he covered 35% of the distance at 70 km/h. 40% of the distance at 80 km/h and the remaining distance at 50 km/h, his average speed (in km/h) for the entire journey is: [SSC CHSL 09/08/2023 (1st Shift)]

Correct Answer: (b)
Solution: