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

Total Questions: 50

21. A train started with 450 passengers. At the first stop, 1/9 of them got down and 20 new passengers got in. At the second stop: 1/6 of the passengers existing got down and 19 new passengers boarded. With how many passengers did the train arrive at the third stop? [NTPC CBT - I 09/01/2021 (Evening) ]

Correct Answer: (c) 369
Solution:

22. A student reaches school on his bicycle in 3/2 hours at a speed of 3 km/h. On his return journey he rests for half an hour, and takes a route which is 1 km shorter. What should be the percentage increase in speed of his cycle so that he reaches home at the same time. [NTPC CBT - I 10/01/2021 (Evening) ]

Correct Answer: (a)
Solution:

23. Car A is twice as fast as car B, and Car B is thrice as fast as Car C. The distance covered by Car C in 60 minutes will be covered by Car B in: [NTPC CBT-I 13/01/2021 (Evening)]

Correct Answer: (c) 20 minutes
Solution:

24. A carriage driving in a fog passed a man who was walking at the speed of 3 km/h in the same direction. He could see the carriage for 4 minutes and it was visible to him up to a distance of 100 m. What was the speed of the carriage? [NTPC CBT-I 25/01/2021 (Morning)]

Correct Answer: (a) 4.5 km/h
Solution:

25. A man travels 360 km in 4 h, partly by air and partly by train. If he had travelled all the way by air, he would have saved 4/5 of the time he travelled by train, and he would have arrived at his destination 2 h early. Find the distance he travelled by air. [NTPC CBT-I 28/01/2021 (Morning)]

Correct Answer: (a) 270 km
Solution:

26. How many poles will be covered by a train in 4 hours if the train is running at a speed of 45 km/h, given that the poles on the railway track are 50 m apart and the train crosses a pole at the beginning of its journey? [NTPC CBT-I 01/02/2021 (Evening)]

Correct Answer: (d) 3601
Solution:

27. A train service got disrupted due to an accident after a travel of 30 km. The speed was reduced to four-fifth to the original speed. This caused it a delay of 45 min. If the accident had happened 18 km farther, it would have been running late for 36 min. What was the original speed of the train? [NTPC CBT - I 02/02/2021 (Evening) ]

Correct Answer: (a) 30 km/h
Solution:

28. A, B and C all start their journey from the same place and all three follow the same route. However, A travels at a speed of 60 km/h, B at a speed of 75 km/h and C at a speed of 80 km/h. Also, A starts the journey five hours before B does. If B and C both overtake A at the same instance while traveling, how much time after A did C start the journey? [NTPC CBT - I 10/02/2021 (Evening) ]

Correct Answer: (a) 6 hours 15 minutes
Solution:

29. A train starts at a speed of 40 km/h. Its speed increases every 1 h by 20 km/h. How much time does it take to cover a distance of 470 km? [NTPC CBT-I 01/03/2021 (Morning)]

Correct Answer: (c) 5 h 30 min
Solution:

30. A locomotive engine without any wagon can go at a speed of 50 km per hour and its speed diminishes by a quantity which varies as the square root of the number of wagons attached. If with 25 wagons its speed is 35 km per hour, then what is the greatest number of wagons that can be attached, if the speed is NOT to fall below 11 km per hour? [NTPC CBT-I 07/04/2021 (Morning)]

Correct Answer: (a) 169
Solution: