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.
Q16. A train running at 108 km/h crosses a man running in the same direction at 18 km/h in 12 seconds. What is the length of the train?
Correct Answer:
200 meters
Explanation: Relative speed = 108 - 18 = 90 km/h = 25 m/s
Length of train = Relative speed * Time = 25 * 12 = 300 meters
Q17. A train traveling at 72 km/h crosses a stationary train in 12 seconds. If the stationary train is 150 meters long, what is the length of the moving train?
Correct Answer:
210 meters
Explanation: Speed = 72 km/h = 20 m/s
Total distance = Speed * Time = 20 * 12 = 240 meters
Length of moving train = Total distance - Length of stationary train = 240 - 150 = 210 meters
Q18. A train 120 meters long passes a pole in 6 seconds. Find the speed of the train in km/h.
Correct Answer:
72 km/h
Explanation: Speed = Distance / Time = 120 / 6 = 20 m/s
Convert to km/h: 20 * 18/5 = 72 km/h
Q19. A train takes 18 seconds to completely pass through a 500-meter-long bridge. If the speed of the train is 90 km/h, what is the length of the train?
Correct Answer:
300 meters
Explanation: Speed = 90 km/h = (90 * 1000) / 3600 = 25 m/s
Total distance = Speed * Time = 25 * 18 = 450 meters
Length of the train = Total distance - Length of the bridge = 450 - 500 = 300 meters
Q20. A train running at 54 km/h takes 20 seconds to pass a stationary train that is 200 meters long. What is the length of the first train?
Correct Answer:
250 meters
Explanation: Speed = 54 km/h = (54 * 1000) / 3600 = 15 m/s
Time = 20 seconds, so Distance = Speed * Time = 15 * 20 = 300 meters
Length of the first train = Total distance - Length of stationary train = 300 - 200 = 250 meters
Q21. A train 250 meters long passes a man standing on the platform in 15 seconds. Calculate the speed of the train in km/h.
Correct Answer:
60 km/h
Explanation: Speed = Distance / Time = 250 / 15 = 16.67 m/s
Convert to km/h: 16.67 * (18/5) = 60 km/h
Q22. Two trains start at the same time from two stations 300 km apart and move towards each other. The speeds of the two trains are 60 km/h and 90 km/h. After how much time will they meet?
Q23. A train is running at a speed of 72 km/h and crosses a tunnel in 20 seconds. If the length of the tunnel is 300 meters, find the length of the train.
Correct Answer:
250 meters
Explanation: Speed = 72 km/h = 20 m/s
Total distance = Speed * Time = 20 * 20 = 400 meters
Length of train = Total distance - Length of tunnel = 400 - 300 = 250 meters
Q24. A train 150 meters long is running at a speed of 90 km/h. How much time will it take to cross another train 200 meters long running at 72 km/h in the opposite direction?
Q25. Two trains of lengths 120 m and 180 m are moving in the same direction at speeds of 60 km/h and 90 km/h, respectively. How much time will the faster train take to pass the slower train completely?
Q26. A 500-meter-long train crosses a bridge in 45 seconds while running at a speed of 36 km/h. Find the length of the bridge.
Correct Answer:
400 meters
Explanation: Speed = 36 km/h = 10 m/s
Total distance = Speed * Time = 10 * 45 = 450 meters
Length of bridge = Total distance - Length of train = 450 - 500 = 400 meters
Q27. A train 120 meters long passes a man walking in the same direction at 6 km/h in 10 seconds. What is the speed of the train?
Correct Answer:
54 km/h
Explanation: Relative speed = Distance / Time = 120 / 10 = 12 m/s
Convert to km/h: 12 * 18/5 = 43.2 km/h
Relative speed = Speed of train - Speed of man,
So, Speed of train = 12 + 6 = 54 km/h
Q28. A train running at 72 km/h crosses a platform 200 meters long in 25 seconds. Find the length of the train.
Correct Answer:
300 meters
Explanation: Speed = 72 km/h = (72 * 1000) / 3600 = 20 m/s
Let the length of the train be L.
The total distance covered when crossing the platform = L + 200
Time = 25 seconds, so Distance = Speed * Time
L + 200 = 20 * 25
L + 200 = 500
L = 500 - 200 = 300 meters
Q29. Two trains, each 150 meters long, are moving in opposite directions at speeds of 60 km/h and 90 km/h. How much time will they take to cross each other completely?
Correct Answer:
7.2 seconds
Explanation: Relative speed when trains are moving in opposite directions = sum of their speeds: 60 km/h + 90 km/h = 150 km/h
Convert to m/s:
150 km/h = (150 * 1000) / 3600 = 125/3 m/s
Total distance = sum of lengths of the trains = 150 + 150 = 300 meters
Time = Distance / Relative Speed = 300 / (125/3) = (300 * 3) / 125 = 7.2 seconds
Q30. A train 300 meters long is running at a speed of 90 km/h. How much time will it take to pass a pole?
Correct Answer:
12 seconds
Explanation: To find the time taken by the train to pass the pole,
we use the formula:Time = Distance / SpeedHere, distance = 300 meters, speed = 90 km/h.,
First, convert the speed to m/s:
90 km/h = (90 * 1000) / 3600 = 25 m/s
Time = 300 / 25 = 12 seconds