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

Total Questions: 50

11. Train A leaves station M at 6.00 a.m. and reaches station N at 2.00 p.m. on the same day. Train B leaves station N at 8.00 a.m. and reaches station M at 3.00 p.m. on the same day. Find the time when Trains A and B meet. [Group D 06/10/2022 (Morning)]

Correct Answer: (b) 10.48 a.m.
Solution:

12. Ramen leaves his home every day at 7 : 40 a.m. and reaches his office at 9 : 46 a.m. One day, he left his home at 7 : 40 a.m. but travelled one-fourth of the distance at 6/7 of the usual speed and the rest of the distance at 6/5 of the usual speed. At what time did Ramen reach office on that day? [NTPC CBT II Level 5 12/06/2022 Shift 2]

Correct Answer: (b) 9 : 35 : 30 a.m.
Solution:

13. Four friends P, Q, R, and S run around a circular track of length 400 m starting at the same point at the same time at speeds of 4, 8, 16 and 20 m/s respectively. If all of them are moving in the same direction, after how much time would they meet for the first time? [NTPC CBT II Level 3 14/06/2022 Shift 2]

Correct Answer: (a) 100 s
Solution:

14. A train covered a certain distance at a uniform speed. If the train had been 12 km/h faster, it would have taken 8 hours less than the scheduled time. If the train were slower by 12 km/h, the train would have taken 12 hours more than the scheduled time. Find the length of the journey (in km). [NTPC CBT II Level 5 15/06/2022 Shift 3]

Correct Answer: (c) 2880
Solution:

15. A bus cover four successive 12km stretches at 20kmph, 40kmph, 60kmph and 120kmph respectively. Its average speed (in kmph) over this distance is : [NTPC CBT II Level 2 (16/06/2022) Shift 1 ]

Correct Answer: (a) 40
Solution:

16. Excluding stoppages, the speed of a bus is 45 kmph and including stoppages, it is 27 kmph. For how many minutes does the bus stop per hour ? [NTPC CBT II Level 2 (16/06/2022) Shift 3 ]

Correct Answer: (d) 24 mins
Solution:

17. A student walks from his house at 2.5 km/hour and reaches his school 6 minutes after school time. Next day he increases his speed by 1 km/hour and reaches his school 6 minutes before school time. How far is the school from his house ? [NTPC CBT II Level 3 (17/06/2022) Shift 2 ]

Correct Answer: (b) 1.75 km
Solution:

18. Two buses start from opposite points towards each other on a main road, 185 km apart. The first bus runs for 35 km and takes a right turn and runs for 17 km. It then turns left and runs for another 42 km and takes the direction back to reach the main road, in the meantime, due to a minor breakdown, the other bus has run only 36 km along the main road. What would the distance between the two buses be at this point? [NTPC CBT - I 28/12/2020 (Morning) ]

Correct Answer: (a) 72 km
Solution:

19. A train is travelling 50% faster than a bus. Both start from Karnal at the same time and reach Panipat, which is 75 km from Karnal, at the same time. On the way, however, the train stopped at a station for about 12.5 minutes. The speed of the bus is: [NTPC CBT-I 07/01/2021 (Evening)]

Correct Answer: (b) 120 km/h
Solution:

20. Moving along a circular path, Ansh takes 18 minutes to complete one round and Siddhi takes 12 minutes for the same. If they start from the same point at the same time, then after what time will they meet again at the starting point? [NTPC CBT-I 07/01/2021 (Evening)]

Correct Answer: (c) 36 minutes
Solution:

They will meet at the starting point again after a time interval which is LCM of time taken by them. LCM of (18 and 12) = 36 minutes