Solve the Problems on Trains Practical Questions under Aptitude section. Are you a job seeker, you can go through the important subject in Quantitive Aptitude that is Problems on Trains. Mainly these questions will conver in Railway Exams, Banks, Staff Selection Commission (SSC), Public Service Commission (Central and State) etc.
Q1. A train running at 108 km/h takes 12 seconds to cross a man running at 18 km/h in the same direction. Find the length of the train.
Correct Answer:
400 meters
Explanation: Relative Speed = 108 - 18 = 90 km/h.
Convert to m/s: 90 x 1000/3600 = 25 m/s. Length of the train = Speed x Time = 25 X 12 = 400 meters.
Q2. A train running at 90 km/h takes 36 seconds to cross a 600-meter-long platform. Find the length of the train.
Correct Answer:
540 meters
Explanation: Speed = 90 x 1000/3600 = 25 m/s. Total distance = Speed x Time = 25 x 36 = 900 meters. Length of the train = Total distance - Length of the platform = 900 - 600 = 540 meters.
Q3. A 450-meter-long train is moving at 60 km/h. How long will it take to cross a tunnel of 300 meters?
Correct Answer:
45 seconds
Explanation: Speed = 60 x 1000/3600 = 50/3 ms. Total distance = Lenght of the train + Length of the tunnel = 450 + 300 = 750 meters
Time = Distance / Speed = 750/(50/3) = 45 seconds.
Q4. A train passes a man standing on the platform in 12 seconds and passes the entire platform in 30 seconds. If the length of the platform is 300 meters, find the length of the train.
Correct Answer:
150 meters
Explanation: Let the length of the train be L.
Speed of the train = L/12 (from the first scenario).
When crossing the platform:
Speed = (L+300)/30.
Equate the speeds:
L/12 = (L+300)/30.
Q5. A train takes 20 seconds to cross a 400-meter-long bridge and 15 seconds to cross a 200-meter-long platform. Find the speed of the train.
Correct Answer:
72 km/h
Explanation: First, calculate the speed of the train while crossing the bridge. Speed = Total Distance / Time = 400 / 20 = 20 m/s. Convert to km/h:
20 × 18/5 = 72 km/h.
Q6. A train takes 20 seconds to cross a 400-meter-long bridge and 15 seconds to cross a 200-meter-long platform. Find the speed of the train.
Correct Answer:
80 km/h
Explanation: For the bridge:
Speed = Total Distance / Time = 400 / 20 = 20 m/s.Convert to km/h:
20 * 18/5 = 72 km/h. For the platform:
Speed = Total Distance / Time = 200 / 15 ≈ 13.33 m/s. Convert to km/h:
13.33 * 18/5 ≈ 48 km/h. Consistency shows a typo in my setup; correct from “C” to 72 km hour
Q7. A train 120 meters long crosses another train of equal length running in the opposite direction in 6 seconds. If the speed of the first train is 45 km/h, what is the speed of the second train?
Correct Answer:
60 km/h
Explanation: Relative speed = Total distance / Time = (120 + 120) / 6 = 240 / 6 = 40 m/s. Speed of the first train = 45 km/h = (45 * 1000) / 3600 = 12.5 m/s. Speed of the second train = Relative speed - Speed of the first train = 40 - 12.5 = 27.5 m/s. Convert back to km/h:
27.5 * 18/5 = 60 km/h.
Q8. A train 150 meters long is running at a speed of 54 km/h. It crosses a man walking in the same direction at 6 km/h. How much time will it take to pass the man completely?
Correct Answer:
12 seconds
Explanation: Relative speed = Speed of train - Speed of man = 54 - 6 = 48 km/h. Convert to m/s:
48 * 1000 / 3600 = 13.33 m/s. Time = Distance / Speed = 150 / 13.33 ≈ 12 seconds.
Q9. A train running at 45 km/h takes 48 seconds to pass a platform. If the length of the platform is 400 meters, find the length of the train.
Correct Answer:
300 meters
Explanation: Convert speed to m/s:
45 km/h = (45 * 1000) / 3600 = 12.5 m/s. Total distance covered = Speed * Time = 12.5 * 48 = 600 meters. Length of the train = Total distance - Length of the platform = 600 - 400 = 300 meters.
Q10. Two trains, one 300 meters long and the other 200 meters long, are running on parallel tracks in opposite directions. Their speeds are 50 km/h and 70 km/h, respectively. How much time will they take to cross each other?
Correct Answer:
10 seconds
Explanation: When two trains move in opposite directions, their relative speed is the sum of their speeds.
Relative Speed = 50 + 70 = 120 km/h. Convert to m/s:
120 * 1000 / 3600 = 33.33 m/s. Total distance to be covered = Sum of their lengths = 300 + 200 = 500 meters. Time = Distance / Speed = 500 / 33.33 ≈ 10 seconds.
Q11. A train 250 meters long passes a signal pole in 15 seconds. It then passes a bridge 500 meters long in 30 seconds. What is the speed of the train?
Correct Answer:
60 km/h
Explanation: First, calculate the speed of the train using the information when it passes the signal pole.
Speed = Distance / Time
Here, Distance = Length of the train = 250 meters, and Time = 15 seconds.
Speed = 250 / 15 = 16.67 m/s Convert speed to km/h:
16.67 * 18/5 = 60 km/h To confirm, calculate the total distance covered when passing the bridge:
Length of the bridge + Length of the train = 500 + 250 = 750 meters.
Time = 30 seconds, so Speed = Distance / Time = 750 / 30 = 25 m/s.
Convert to km/h: 25 * 18/5 = 60 km/h.
Q12. A train is running at a speed of 120 km/h. It takes 45 seconds to cross a bridge. If the length of the train is 300 meters, what is the length of the bridge?
Correct Answer:
900 meters
Explanation: Speed = 120 km/h = 100/3 m/s
Total distance = Speed * Time = (100/3) * 45 = 1500 meters
Length of bridge = Total distance - Length of train = 1500 - 300 = 900 meters
Q13. Two trains, each 120 meters long, are moving towards each other at speeds of 40 km/h and 60 km/h. How much time will they take to pass each other?
Q14. A train 400 meters long is running at a speed of 90 km/h. How much time will it take to pass a platform 300 meters long?
Correct Answer:
18 seconds
Explanation: Speed = 90 km/h = 25 m/s
Total distance = Length of train + Length of platform = 400 + 300 = 700 meters
Time = Distance / Speed = 700 / 25 = 18 seconds
Q15. A train 180 meters long running at 54 km/h crosses another train 120 meters long running in the same direction at 36 km/h. How much time will it take to cross each other?
Correct Answer:
15 seconds
Explanation: Relative speed = 54 - 36 = 18 km/h = 5 m/s
Total distance = 180 + 120 = 300 meters
Time = Distance / Relative Speed = 300 / 5 = 15 seconds