🚈 20 + Problems on Trains Questions and Answers | Quantitative Aptitude

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Problems on Trains

Hey, guys! Mr. Owl 🦉 is here. I see that you want to practice ‘Problems on Trains Questions’. Hootfully, I’ll be of help to you! Since we owls are very wise. If you scroll further down this blog, you’ll see all the information and questions you need!

Preparing for the CAT, CMAT, GMAT, SATUPSC or any other upcoming government exams? Well, even if you are not preparing for these competitive exams, many job interviews that test candidates using aptitude tests will need you to be able to solve train-based problems! 

🤔What are Problems on Trains Questions?

Train problems are a subset of time, speed, and distance-based questions. The questions you’ll encounter for these problems will mostly be situation-based wherein you’ll have to calculate the Time, Speed and Distance of a train or trains put under varied circumstances. Problems on trains range from simple speed and time problems to scheduling problems. 

Example: A train company needs to schedule a train to travel from City A to City B and back in one day. The distance between the two cities is 200 km, and the train company wants the train to spend at least 2 hours in City B. What is the minimum speed that the train must travel at?

Must Read: Quantitative Aptitude: Topics, Tips & Questions

✍️20+ Problems on Trains For Practice!

1. A train travels from point A to point B at a speed of 60 km/h. If it takes 3 hours to cover the distance, what is the distance between the two points?

  1. 25 km
  2. 80 km
  3. 190 km
  4. 180 km

(The correct answer is 180 km)

2. Two trains, A and B, start from the same point and travel in opposite directions. Train A travels at 80 km/h, and Train B travels at 60 km/h. If they are 400 km apart after 2 hours, what is the distance between their starting point and point A?

  1. 70 km
  2. 140 km
  3. 95 km
  4. 78 km

(The correct answer is 140 km)

3. A train covers a distance of 450 km in 5 hours. What is its average speed?

  1. 90km/h
  2. 15 km/h
  3. 110 km/h
  4. 32 km/h

(The correct answer is 90 km/h)

4. A train travels from City X to City Y at a speed of 120 km/h and returns at a speed of 150 km/h. If the total travel time is 6 hours, what is the distance between the two cities?

  1. 400 km
  2. 133 km
  3. 190 km
  4. 450 km

(The correct answer is 400 km)

5. A train departs from Station P to Station Q, 180 km away, at a speed of 60 km/h. At the same time, another train departs from Station Q to Station P at a speed of 75 km/h. When and where will the two trains meet?

(The correct answer is that the two trains will meet after 1.33 hours, 80 km from Station P and 100 km from Station Q.)

6. A train starts from Station M and travels to Station N, a distance of 240 km, at a constant speed of 80 km/h. Another train starts from Station N to Station M at the same time, travelling at a speed of 100 km/h. How long does it take for the two trains to meet?

  1. 7 hrs
  2. 2.25 hrs
  3. 1.4 hrs
  4. 1.33 hrs

(The correct answer is 1.33 hrs)

7. A train takes 4 hours to travel a distance of 320 km. If the speed of the train is reduced by 20 km/h, how long will it take to cover the same distance?

  1. 5.33 hrs
  2. 23 hrs
  3. 2.9 hrs
  4. 1.33 hrs

(The correct answer is 5.33 hrs)

8. Train A and Train B are 320 km apart. Train A starts at 9:00 AM and travels at 60 km/h, while Train B starts at 10:30 AM and travels at 80 km/h. At what time will the two trains meet?

The two trains will meet at

  1. 11:28 AM
  2. 10:33 AM
  3. 1.40 AM
  4. 1:11 PM

(The correct answer is 11:28 AM)

9. A train travels at 45 km/h for the first 3 hours, then at 60 km/h for the next 2 hours. What is the average speed for the entire journey?

  1. 56 km/h
  2. 54 km/h
  3. 99 km/h
  4. 11 km/h

(The correct answer is 54 km/h)

10. Train X leaves Station A for Station B at 8:00 AM, travelling at 75 km/h. Train Y leaves Station B for Station A at 9:00 AM, travelling at 90 km/h. How far apart are the two trains at 10:30 AM?

(The correct answer is that the two trains are 322.5 km apart at 10:30 AM)

11. A train travels from City P to City Q, a distance of 360 km, at a speed of 120 km/h. If it stops for 20 minutes at a station on the way, how long does the entire journey take?

  1. 4 hrs and 15 mins
  2. 3 hrs and 33 mins
  3. 2 hrs and 27 mins
  4. 3 hours and 20 minutes

(The correct answer is 3 hours and 20 minutes)

12. Train A covers a distance of 180 km in 2 hours, and Train B covers the same distance in 3 hours. What is the speed of each train?

(The correct answer to this question is that Train A travels at 90 km/h and Train B travels at 60 km/h)

13. A train is moving at 100 km/h. How long will it take to cover a distance of 300 km?

  1. 1 hr
  2. 58 mins
  3. 3 hrs
  4. 2.5 hrs

(The correct answer is 3 hours)

14. A train travels from City X to City Y, a distance of 400 km, in 5 hours. If the return journey from City Y to City X takes 6 hours, what is the average speed of the train?

  1. 72.73 km/h
  2. 13.33 km/h
  3. 43 km/h
  4. 45 km/h

(The correct answer is 72.73 km/h)

15. A train leaves Station C for Station D at 5:00 AM and travels at a speed of 90 km/h. Another train leaves Station D for Station C at 6:30 AM, travelling at 105 km/h. How far apart are the two trains at 8:00 AM?

  1. 427.5 km
  2. 56 km
  3. 246 km
  4. 542 km

(The correct answer is 427.5 km/h)

16. Train A travels from Town M to Town N, a distance of 240 km, in 4 hours. Train B covers the same distance in 3 hours. What is the speed of each train?

(The correct answer is that Train A is travelling at 60 km/h whereas Train B travelling at 80 km/h)

17. A train covers a distance of 180 km in 2.5 hours. What is its speed in km/h?

  1. 72 km/h
  2. 12 km/h
  3. 97 km/h
  4. 79/h

(The correct answer is 72 km/h)

18. A train takes 6 hours to travel from Station X to Station Y at a speed of 60 km/h. How long will it take to travel the same distance at a speed of 80 km/h?

  1. 4.6 hrs
  2. 4.5 hrs
  3. 3.2 hrs
  4. 2.2 hrs

(The correct answer is 4.5 hrs)

19. A train leaves Station E for Station F at 8:00 AM and travels at 50 km/h. Another train leaves Station F for Station E at 10:00 AM, travelling at 60 km/h. When and where will the two trains meet?

(The correct answer is that the two trains will meet at 10:36 AM, 260 km from Station E)

20. Train A and Train B are travelling towards each other on parallel tracks. Train A is moving at 80 km/h, and Train B is moving at 100 km/h. If they are initially 200 km apart, how long will it take for them to meet?

  1. 1.21 hrs
  2. 2.22 hrs
  3. 1.11 hrs
  4. 1.02 hrs

(The correct answer is 1.11 hrs)

21. A train travels from City Z to City W at a speed of 100 km/h. If it takes 4 hours to cover the distance, what is the distance between the two cities?

  1. 400 km
  2. 133 km
  3. 378 km
  4. 430 km

(The correct answer is 400 km)

22. A train travels from Town P to Town Q, a distance of 240 km, in 3 hours. Another train covers the same distance in 4 hours. What is the speed of each train?

(The correct answer is that Train A travels at 80 km/h and Train B travels at 60 km/h)

23. A train departs from Station G to Station H, 150 km away, at a speed of 45 km/h. At the same time, another train departs from Station H to Station G at a speed of 60 km/h. When and where will the two trains meet?

(The correct answer is that the two trains will meet at 9:43 AM, 75 km from Station G.)

“Kiddos, I’ve answered all your queries with the utmost precision that I was capable of. Now, I’ll be taking my leave, but if you think I might have missed something, do check out the FAQ section or drop a comment. I always respond!

Also Read: Aptitude Questions & Answers for Competitive Exams

FAQs

How do you solve train problems in aptitude?

To be able to solve train-based problems you should have a good understanding of concepts and formulas related to speed, distance, time and relative speed.

What is the formula for train speed?

The formula for calculating train speed or speed of any object is speed equals to distance divided by time. However, in case you wish to calculate relative speed the formula is: Relative Speed = Speed of Object 1 – Speed of Object 2.

How to solve railway problems?

Some pointers to keep in mind while solving railway problems are:
– The answer should be in the same unit as the given in the question unless otherwise specified.
– You need to have a clear understanding of concepts and formulas.
– Read the questions carefully.

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