Time Speed and Distance (Railway Maths) (Part – I)

Total Questions: 50

1. A man travels 80 km in three hours. He further travels for two more hours. Find the distance travelled in the latter two hours, if his average speed for the entire journey is 30 km/h. [Group D 17/08/2022 (Evening) ]

Correct Answer: (a) 70 km
Solution:

2. For a trip of 800 km, a truck travels the first 300 km at a speed of 50 km/h. At what speed should it cover the remaining distance, so that the average speed is 60 km/h? [Group D 22/08/2022 (Morning) ]

Correct Answer: (d) 750/11 km/h
Solution:

3. A person has to cover a distance of 8 km in 1 hour. If he covers one-fourth of the distance in one-third of the total time, then what should his speed (in km/h) be to cover the remaining distance in the remaining time so that the person reaches the destination exactly on time? [Group D 23/08/2022 (Afternoon) ]

Correct Answer: (d) 9
Solution:

4. A train is moving from north to south direction. It overtakes Raj and Madhur who are walking in the same direction at the rate of 2 km/h and 4 km/h in 9 sec and 10 sec, respectively. If the train is x metres long, find the value of x. [Group D 25/08/2022 (After) ]

Correct Answer: (c) 50
Solution:

5. A thief saw a policeman from a distance of 150 m. The thief immediately started running at a speed of 13 km/h and the policeman chased him at a speed of 14 km/h. Find the distance between them after running for 6minutes [Group D 26/08/2022 (Afternoon) ]

Correct Answer: (b) 50 m
Solution:

6. A and B started moving at the same time towards each other from points X and Y, respectively. After meeting on the way, A and B took 5.4 hours and p hours, respectively to reach Y and X, respectively. If the speed of B is 50% more than that of A, then what is the value of p? [Group D 02/09/2022 (Afternoon) ]

Correct Answer: (c) 2.4
Solution:

7. The speed of a bus increases by 4 km/h after every two hours. If the bus covers a distance of 80 km in the first two hours, then the total distance covered by the bus in 10 hours will be: [Group D 17/09/2022 (Morning)]

Correct Answer: (b) 480 km
Solution:

8. Let Chennai and Trivandrum be two stations 690 km apart. A train starts from Chennai at 8:00 p.m. and travels towards Trivandrum at a speed of 75 km/h. Another train starts from Trivandrum at 9:00 p.m. and travels towards Chennai on the parallel track at a speed of 60 km/h. At what time will they meet? [Group D 18/09/2022 (Evening)]

Correct Answer: (d) 01:33:20 a.m.
Solution:

9. When a man travels equal distances at speeds of V₁ and V₂ km/h, his average speed is 5 km/h. But when he travels at these speeds for equal time periods, his average speed is 5.5 km/h. Find the positive difference between the two speeds (km/h). [Group D 20/09/2022 (Morning)]

Correct Answer: (a) √11
Solution:

10. The diameter of a wheel is 63 cm. What is the distance covered by the wheel by making 100 revolutions? [Use π = 22/7] [Group D 26/09/2022 (Evening) ]

Correct Answer: (b) 198 m
Solution: