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Preparing for the CAT, CMAT, GMAT, SAT, UPSC 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!
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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. Given below are the important train-based question formulas:
- Speed of the Train: Calculated as the total distance covered by the train divided by the time taken.
- Same Direction: If the trains move in the same direction, the time taken is {(a+b) / (x-y)}.
- Ratio of Speeds: When two trains start at the same time, cross each other, and then reach their destinations, the ratio of their speeds is √t2 : √t1.
- Meeting Point Distance: If two trains leave stations ‘x’ and ‘y’ at times ‘t1’ and ‘t2’ with speeds ‘L’ and ‘M’, the distance where they meet is (t2 – t1) × {(L × M) / (M – L)}.
- Opposite Directions: If two trains of lengths ‘a’ and ‘b’ move in opposite directions with speeds ‘x’ and ‘y’, the time taken to cross each other is {(a+b) / (x+y)}.
- Rest Time: For a train with an average speed ‘x’ and average speed with stoppage ‘y’, the rest time per hour is (Difference in average speed) / (Speed without stoppage).
- Opposite Direction Cross Time: If two trains of equal lengths take ‘t1’ and ‘t2’ time to cross a pole in opposite directions, the time to cross each other is (2×t1×t2) / (t2+t1).
- Same Direction Cross Time: For two trains of equal lengths in the same direction, the time to cross each other is (2×t1×t2) / (t2-t1).
Must Read: Quantitative Aptitude: Topics, Tips & Questions
50+ Problems on Trains For Practice!
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?
- 25 km
- 80 km
- 190 km
- 180 km
(The correct answer is 180 km)
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?
- 70 km
- 140 km
- 95 km
- 78 km
(The correct answer is 140 km)
A train covers a distance of 450 km in 5 hours. What is its average speed?
- 90km/h
- 15 km/h
- 110 km/h
- 32 km/h
(The correct answer is 90 km/h)
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?
- 400 km
- 133 km
- 190 km
- 450 km
(The correct answer is 400 km)
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.)
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?
- 7 hrs
- 2.25 hrs
- 1.4 hrs
- 1.33 hrs
(The correct answer is 1.33 hrs)
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?
- 5.33 hrs
- 23 hrs
- 2.9 hrs
- 1.33 hrs
(The correct answer is 5.33 hrs)
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
- 11:28 AM
- 10:33 AM
- 1.40 AM
- 1:11 PM
(The correct answer is 11:28 AM)
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?
- 56 km/h
- 54 km/h
- 99 km/h
- 11 km/h
(The correct answer is 54 km/h)
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)
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?
- 4 hrs and 15 mins
- 3 hrs and 33 mins
- 2 hrs and 27 mins
- 3 hours and 20 minutes
(The correct answer is 3 hours and 20 minutes)
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)
A train is moving at 100 km/h. How long will it take to cover a distance of 300 km?
- 1 hr
- 58 mins
- 3 hrs
- 2.5 hrs
(The correct answer is 3 hours)
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?
- 72.73 km/h
- 13.33 km/h
- 43 km/h
- 45 km/h
(The correct answer is 72.73 km/h)
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?
- 427.5 km
- 56 km
- 246 km
- 542 km
(The correct answer is 427.5 km/h)
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)
A train covers a distance of 180 km in 2.5 hours. What is its speed in km/h?
- 72 km/h
- 12 km/h
- 97 km/h
- 79/h
(The correct answer is 72 km/h)
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?
- 4.6 hrs
- 4.5 hrs
- 3.2 hrs
- 2.2 hrs
(The correct answer is 4.5 hrs)
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)
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?
- 1.21 hrs
- 2.22 hrs
- 1.11 hrs
- 1.02 hrs
(The correct answer is 1.11 hrs)
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?
- 400 km
- 133 km
- 378 km
- 430 km
(The correct answer is 400 km)
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)
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.)
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A train travels a distance of 300 km at a constant speed. If the speed of the train is 60 km/hr, how long will it take to cover the distance?
A) 3 hours
B) 4 hours
C) 5 hours
D) 6 hours
Answer: C) 5 hours
A train travels at a speed of 90 km/hr. How long will it take to cover a distance of 540 km?
A) 4 hours
B) 6 hours
C) 8 hours
D) 9 hours
Answer: B) 6 hours
A train 150 meters long crosses a bridge in 20 seconds. What is the speed of the train if the length of the bridge is 250 meters?
A) 30 km/hr
B) 36 km/hr
C) 45 km/hr
D) 54 km/hr
Answer: D) 54 km/hr
A train crosses a pole in 15 seconds. The same train crosses a platform of length 200 meters in 25 seconds. What is the length of the train?
A) 100 meters
B) 120 meters
C) 150 meters
D) 180 meters
Answer: B) 120 meters
Two trains of lengths 200 meters and 300 meters are moving in opposite directions with speeds 60 km/hr and 90 km/hr respectively. In how many seconds will they cross each other?
A) 10 seconds
B) 15 seconds
C) 20 seconds
D) 25 seconds
Answer: B) 15 seconds
A train 180 meters long crosses a platform 220 meters long in 30 seconds. What is the speed of the train?
A) 30 km/hr
B) 36 km/hr
C) 45 km/hr
D) 54 km/hr
Answer: A) 30 km/hr
A train running at the speed of 45 km/hr crosses a pole in 16 seconds. What is the length of the train?
A) 80 meters
B) 90 meters
C) 100 meters
D) 120 meters
Answer: C) 100 meters
A train 300 meters long is running at a speed of 60 km/hr. In how many seconds will it cross a bridge 200 meters long?
A) 24 seconds
B) 36 seconds
C) 48 seconds
D) 60 seconds
Answer: B) 36 seconds
A train 120 meters long crosses a platform 160 meters long in 30 seconds. What is the speed of the train?
A) 30 km/hr
B) 36 km/hr
C) 45 km/hr
D) 54 km/hr
Answer: A) 30 km/hr
A train takes 20 seconds to pass a man standing on a platform. If the speed of the train is 72 km/hr, what is the length of the train?
A) 100 meters
B) 120 meters
C) 140 meters
D) 160 meters
Answer: B) 120 meters
Two trains of lengths 100 meters and 150 meters are moving in the same direction with speeds 45 km/hr and 60 km/hr respectively. In how many seconds will the faster train cross the slower train?
A) 10 seconds
B) 15 seconds
C) 20 seconds
D) 25 seconds
Answer: C) 20 seconds
A train 120 meters long crosses a platform 140 meters long in 25 seconds. What is the speed of the train?
A) 30 km/hr
B) 36 km/hr
C) 45 km/hr
D) 54 km/hr
Answer: A) 30 km/hr
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. What is the length of the train?
A) 120 meters
B) 180 meters
C) 240 meters
D) 300 meters
Answer: B) 180 meters
A train crosses a bridge in 40 seconds and a platform 220 meters long in 30 seconds. What is the length of the train if the speed is constant?
A) 150 meters
B) 180 meters
C) 200 meters
D) 240 meters
Answer: B) 180 meters
A train 200 meters long passes a telegraph post in 20 seconds. What is the speed of the train?
A) 45 km/hr
B) 54 km/hr
C) 60 km/hr
D) 72 km/hr
Answer: C) 60 km/hr
Two trains of lengths 120 meters and 180 meters are moving in opposite directions with speeds 54 km/hr and 72 km/hr respectively. In how many seconds will they cross each other?
A) 12 seconds
B) 15 seconds
C) 18 seconds
D) 20 seconds Answer: C) 18 seconds
A train 150 meters long passes a platform 100 meters long in 15 seconds. What is the speed of the train?
A) 30 km/hr
B) 36 km/hr
C) 45 km/hr
D) 54 km/hr
Answer: A) 30 km/hr
A train 300 meters long crosses a bridge in 60 seconds. What is the speed of the train if the length of the bridge is 200 meters?
A) 30 km/hr
B) 45 km/hr
C) 54 km/hr ‘
D) 60 km/hr
Answer: A) 30 km/hr
A train crosses a platform in 35 seconds and a pole in 25 seconds. What is the length of the train if the speed is constant?
A) 100 meters
B) 125 meters
C) 150 meters
D) 175 meters
Answer: C) 150 meters
A train 180 meters long passes a man running at 9 km/hr in the same direction in which the train is going. What time will it take to overtake him? A) 20 seconds B) 30 seconds C) 40 seconds D) 50 seconds Answer: B) 30 seconds
A train is moving at a speed of 60 km/hr. If it crosses a pole in 18 seconds, what is the length of the train?
A) 100 meters
B) 120 meters
C) 150 meters
D) 180 meters Answer: B) 120 meters
A train 200 meters long crosses a platform 400 meters long in 40 seconds. What is the speed of the train?
A) 20 km/hr
B) 30 km/hr
C) 36 km/hr
D) 45 km/hr
Answer: C) 36 km/hr
Two trains of lengths 150 meters and 200 meters are moving in opposite directions with speeds 45 km/hr and 60 km/hr respectively. In how many seconds will they cross each other?
A) 10 seconds
B) 12 seconds
C) 15 seconds
D) 18 seconds
Answer: B) 12 seconds
A train 180 meters long crosses a bridge in 40 seconds. What is the speed of the train if the length of the bridge is 220 meters?
A) 30 km/hr
B) 36 km/hr
C) 45 km/hr
D) 54 km/hr
Answer: A) 30 km/hr
A train 140 meters long crosses a platform 160 meters long in 25 seconds. What is the speed of the train?
A) 30 km/hr
B) 36 km/h
C) 45 km/hr
D) 54 km/hr
Answer: A) 30 km/hr
A train 240 meters long crosses a platform 200 meters long in 35 seconds. What is the speed of the train?
A) 30 km/hr
B) 36 km/hr
C) 45 km/hr
D) 54 km/hr
Answer: B) 36 km/hr
A train 300 meters long passes a telegraph post in 36 seconds. What is the speed of the train?
A) 30 km/hr
B) 45 km/hr
C) 50 km/hr
D) 60 km/hr
Answer: D) 60 km/hr
Two trains of lengths 120 meters and 180 meters are moving in the same direction with speeds 54 km/hr and 72 km/hr respectively. In how many seconds will the slower train cross the faster train?
A) 15 seconds
B) 20 seconds
C) 25 seconds
D) 30 seconds
Answer: D) 30 seconds
A train 120 meters long passes a man running at 6 km/hr in the opposite direction in which the train is going. What time will it take to overtake him?
A) 12 seconds
B) 18 seconds
C) 24 seconds
D) 30 seconds
Answer: B) 18 seconds
A train travels a distance of 180 km at a constant speed. If the speed of the train is 60 km/hr, how long will it take to cover the distance?
A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours
Answer: B) 3 hours
“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
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.
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.
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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