Problems on Train aptitude Test
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 Total number of questions: 20.
 Time allotted: 30 minutes.
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Question 1 of 20
1. Question
1 pointsA train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
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Question 2 of 20
2. Question
1 pointsA train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
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Question 3 of 20
3. Question
1 pointsThe length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
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Question 4 of 20
4. Question
1 pointsTwo trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
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Question 5 of 20
5. Question
1 pointsA train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
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Question 6 of 20
6. Question
1 pointsA train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
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Question 7 of 20
7. Question
1 pointsTwo trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
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Question 8 of 20
8. Question
1 pointsA train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
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Question 9 of 20
9. Question
1 pointsTwo trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
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Question 10 of 20
10. Question
1 pointsA jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
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Question 11 of 20
11. Question
1 pointsA train running at 90 km/hr crosses a platform in 20 seconds. If the length of the platform is 200 metres, what is the length of the train?
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Question 12 of 20
12. Question
1 pointsA train 150 metres long is running at 60 km/hr. How much time will it take to cross a man running at 10 km/hr in the same direction?
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Question 13 of 20
13. Question
1 pointsA train 180 metres long is running at 72 km/hr. In what time will it cross a bridge 120 metres long?
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Question 14 of 20
14. Question
1 pointsA train running at 54 km/hr takes 20 seconds to pass a man standing on the platform. What is the length of the train?
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Question 15 of 20
15. Question
1 pointsA train 150 metres long passes a platform 100 metres long in 10 seconds. What is the speed of the train?
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Question 16 of 20
16. Question
1 pointsA train 220 metres long is running at 36 km/hr. How much time will it take to pass a bridge 180 metres long?
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Question 17 of 20
17. Question
1 pointsTwo trains 150 metres and 100 metres long are running in opposite directions at 45 km/hr and 55 km/hr. How much time will they take to cross each other?
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Question 18 of 20
18. Question
1 pointsA train 250 metres long passes a pole in 25 seconds. How long will it take to pass a platform 350 metres long?
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Question 19 of 20
19. Question
1 pointsTwo trains running in the same direction at 50 km/hr and 40 km/hr completely pass each other in 40 seconds. What is the length of the slower train if the faster train is 200 metres long?
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Question 20 of 20
20. Question
1 pointsA train 400 metres long is running at a speed of 40 km/hr. How much time will it take to pass a platform 600 metres long?
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Mastering Train Problems in Mathematics: A Comprehensive Guide
Train problems are a classic staple of mathematics education, particularly in algebra and physics. These problems not only test mathematical skills but also challenge students to visualize and understand realworld applications of speed, distance, and time calculations. In this blog post, we’ll explore various types of train problems and provide strategies to solve them effectively.
Why Train Problems?
Train problems are popular in math education for several reasons:
 They represent realworld scenarios, making mathematics more relatable.
 They involve multiple variables (speed, distance, time), encouraging critical thinking.
 They often require students to consider relative motion, a concept crucial in physics.
Common Types of Train Problems
1. Calculating Train Length
This type of problem typically involves a train passing a stationary object or observer. Students need to use the given speed and time to calculate the length of the train.
Example: A train running at 90 km/hr passes a platform in 20 seconds. If the platform is 200 meters long, what is the length of the train?
Solution Strategy:
 Convert speed to meters per second: 90 km/hr = 25 m/s
 Calculate total distance covered: 25 m/s * 20 s = 500 m
 Subtract platform length: 500 m – 200 m = 300 m
The train is 300 meters long.
2. Relative Motion Problems
These problems involve two trains moving either in the same direction or in opposite directions.
Example: Two trains, 150 meters and 100 meters long, are running in opposite directions at 45 km/hr and 55 km/hr respectively. How long will it take for them to completely pass each other?
Solution Strategy:
 Calculate relative speed: 45 + 55 = 100 km/hr = 27.78 m/s
 Calculate total length: 150 + 100 = 250 m
 Time = Distance / Speed = 250 / 27.78 ≈ 9 seconds
3. Train and Platform Problems
These problems often involve calculating the time taken for a train to completely pass a platform.
Example: A train 400 meters long is running at 40 km/hr. How long will it take to pass a platform 600 meters long?
Solution Strategy:
 Convert speed: 40 km/hr = 11.11 m/s
 Calculate total distance: 400 + 600 = 1000 m
 Time = 1000 / 11.11 ≈ 90 seconds
Key Concepts to Remember
 Speed Conversion: Always convert km/hr to m/s (divide by 3.6) for consistency.
 Total Distance: For a train to completely pass an object, the total distance is the sum of the train’s length and the object’s length.
 Relative Speed: For trains moving in opposite directions, add their speeds. For trains moving in the same direction, subtract the slower from the faster.
Common Pitfalls to Avoid
 Forgetting to convert units (km/hr to m/s).
 Neglecting to include the length of both the train and the platform/object when calculating total distance.
 Misinterpreting the question – make sure you understand what’s being asked (passing time, meeting time, etc.).
Conclusion
Train problems are an excellent way to develop problemsolving skills and apply mathematical concepts to realworld scenarios. By understanding the different types of train problems and the key concepts involved, students can approach these questions with confidence. Remember, practice is key – the more problems you solve, the better you’ll become at recognizing patterns and applying the right strategies.
Happy problemsolving!