Quantitative Aptitude

Problems on Trains

989 Questions
All Passing a moving person or another train 430 Crossing a platform or bridge 379 Crossing a pole or stationary person 104 Meeting point and post-meeting times 52 Journey time, reduced speed, and schedule conditions 24

Problems on Trains Questions

Multiple choice

A train 300 m long, overtake a man walking along the line (in the same direction of the train) at the speed of 5 kms per hour and passed him in 30 sec. The train reached the station in 15 minutes after it has passed the man. In what time did the man reach the station?

  1. 2 hrs. 6 min.

  2. 2 hrs. 5 min.

  3. 2 hrs. 3 min.

  4. 2 hrs. 4 min.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Train speed relative to man = 300m / 30s = 10 m/s = 36 km/h. Since they move in the same direction, train speed = 36 + 5 = 41 km/h. Train takes 15 min to reach station after passing man. Distance = 41 * (15/60) = 10.25 km. Man's time = 10.25 km / 5 km/h = 2.05 hours = 2 hours 3 minutes.

Multiple choice

Two trains, A and B, run at speeds 81 km/h and 36 km/h, respectively. They take 32 seconds less to cross each other when they run in opposite directions as compared to the time they take to cross each other when they run in the same direction. Also, the length of train A is 80 m less than the length of train B. Find the length of train A.

  1. 350 m

  2. 200 m

  3. 365 m

  4. 285 m

  5. 280 m
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Relative speeds: opposite = 81+36=117 km/h (32.5 m/s), same = 81-36=45 km/h (12.5 m/s). Let lengths be L and L+80. Time = (L1+L2)/Speed. (2L+80)/12.5 - (2L+80)/32.5 = 32. Solving for L gives 285.

Multiple choice

Two 150 m long trains started at two different speeds. They were moving in opposite directions, are running at different speeds and cross each other in 6 seconds. One of the trains is moving at 1.5 times the speed of the other train. Find the speed of train which is running at higher speed.

  1. 98 km/h

  2. 108 km/h

  3. 125 km/h

  4. 135 km/h

  5. 145 km/h
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed = (150+150)/6 = 50 m/s = 180 km/h. Let speeds be v and 1.5v. v + 1.5v = 180 => 2.5v = 180 => v = 72. Higher speed = 1.5 * 72 = 108 km/h.

Multiple choice

The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Q. What is the speed of a train? I. The train crosses a signal pole in 18 secs. II. The train crosses a platform of equal length in 36 secs. III. Length of the train is 330 metres.

  1. I and III only

  2. II and III only

  3. I and II only

  4. III and either I or II only

  5. Any two of the three
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Speed = Distance / Time. Statement III gives the length of the train (Distance). Either I or II provides the time required to cover a distance related to the train's length. With III and I, we get speed = 330m / 18s. With III and II, we get speed = (330m + 330m) / 36s. Thus, III and either I or II is sufficient.

Multiple choice

A train crosses a tunnel half of its length with speed of 72 km/hr in 1 min. If train running with 50% of its speed, then find in how much time it will cross another train, which length is twice its length and standing on a platform?

  1. 4 min

  2. 5 min

  3. 7 min

  4. 6 min

  5. 8 min
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The train speed is 1200 m/min, and the tunnel is half the train's length, so the first crossing distance is 1.5 times the train length. At half speed, the train travels 600 m/min, and crossing a stationary train twice its length requires covering three train lengths. The required time is 4 minutes.

Multiple choice

A train travelling at 72 km/hr crosses an another train having half its length and travelling in opposite direction at 63 km/hr in 15 seconds. Faster train also passed a railway platform in 50 second. find length of smaller train is what percent of length of platform?

  1. 34%

  2. 35%

  3. 36%

  4. 30%

  5. 32%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let L1 be the length of the faster train and L2 be the length of the smaller train. L2 = 0.5 * L1. Relative speed = 72+63 = 135 km/hr = 37.5 m/s. Total distance = (L1 + 0.5*L1) = 1.5*L1 = 37.5 * 15 = 562.5. So L1 = 375, L2 = 187.5. Faster train passes platform in 50s: (375 + P) = 20 * 50 = 1000, so P = 625. Ratio L2/P = 187.5/625 = 0.30 or 30%.

Multiple choice

A train moves at the speed of 108 km/hr, passes a platform and a bridge in 15 sec and 18 sec respectively. If the length of platform is 50% of length of bridge, then find the length of train.

  1. 370 m

  2. 360 m

  3. 340 m

  4. 320 m

  5. 350 m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed = 108 km/h = 30 m/s. Let train length be L and bridge length be B. Platform length = 0.5B. L + 0.5B = 30 * 15 = 450. L + B = 30 * 18 = 540. Subtracting equations: 0.5B = 90, so B = 180. Then L + 90 = 450, L = 360.

Multiple choice

50 மீ நீளமுள்ள ஒரு இரயிலானது100 மீஅகலமுள்ள ஒரு ஆற்றை கடக்க பத்து நொடிகள்ஆகிறது. எனில் இரயிலின் வேகம் என்ன? A 50 m long train takes 10 seconds to cross a 100 m wide river. What is the speed of the train?

  1. 54 கி.மீ /மணி / 54km / h

  2. 52 கி.மீ /மணி/ 52km / h

  3. 50 கி.மீ /மணி 50 km / h

  4. 45 கி.மீ /மணி 45 km / h

  5. இவற்றில் ஏதுமில்லை/None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total distance = 50m (train) + 100m (river) = 150m. Time = 10s. Speed = 150/10 = 15 m/s. Convert to km/h: 15 * (18/5) = 54 km/h.

Multiple choice

ஒரு இரயிலானது 42 கி.மீ /மணி வேகத்தில் சென்றுகொண்டிருக்கிறது. அது ஒரு குறிப்பிட்ட இடத்திலிருந்து புறப்பட்டு மற்றொரு இடத்தை 5 மணி நேரத்தில் அடைந்தது. ரயிலின் பாதையில் ஒவ்வொரு 60 மீ இடைவெளியிலும் மின்கம்பங்கள் அமைக்கப்பட்டிருந்தன. எனில் ரயிலானது எத்தனை மின் கம்பங்களை கடந்து சென்றிருக்கும்? A train is moving at a speed of 42 km / h. It departed from a specific location and reached another location in 5 hours. Power poles were installed every 60 m at the rail track. How many Power poles would the train pass?

  1. 3500

  2. 3501

  3. 3505

  4. 3300

  5. இவற்றில் ஏதுமில்லை/None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Distance = Speed * Time = 42 km/h * 5 h = 210 km = 210,000 m. Number of intervals = 210,000 / 60 = 3500. Since there is a pole at the start and the end, the number of poles = 3500 + 1 = 3501.

Multiple choice

ஒரு இரயில் மணிக்கு 180 கி.மீ வேகத்தில் சென்று ஒரு மின்கம்பத்தை 9 நொடிகளில் கடக்கிறது. எனில் இரயிலின் நீளம் என்ன? A train goes at a speed of 180 km / h and crosses a power pole in 9 seconds. What is the length of the train?

  1. 450 மீ/ 450m

  2. 420 மீ/ 420m

  3. 445 மீ/ 445m

  4. 455 மீ/455 m

  5. இவற்றில் ஏதுமில்லை/None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

First, convert the speed of the train from km/h to m/s by multiplying by 5/18, which gives 180 * (5/18) = 50 m/s. Since the train crosses a stationary pole, the distance covered is equal to the length of the train, which is speed multiplied by time: 50 m/s * 9 seconds = 450 meters.

Multiple choice

360 மீ நீளமுள்ள ரயில், ஒரு கம்பத்தை 36 நொடிகளில் கடக்கிறது. எனில் 600 மீட்டர் நீளமுள்ள நடைமேடையை கடக்க எவ்வளவு நேரம் ஆகும்? The train, which is 360 m long, crosses a pole in 36 seconds. How long will it take to cross the 600-meter-wide platform?

  1. 00 நொடி / 100 sec

  2. 96 நொடி/ 96 sec

  3. 90 நொடி /90 sec

  4. 110 நொடி/110 sec

  5. இவற்றில் ஏதுமில்லை/None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed = Distance / Time = 360 / 36 = 10 m/s. Total distance to cross platform = 360 + 600 = 960 m. Time = 960 / 10 = 96 seconds.

Multiple choice

ஒரு ரயில் நடைமேடை 35 நொடிகளிலும், நடைமேடையில் நின்ற மனிதனை 20 நொடிகளிலும் கடக்கிறது. ரயிலின் வேகம் 54 கி.மீ எனில் நடைமேடையின் நீளம் என்ன? A train crosses the platform in 35 seconds and the man in the platform in 20 seconds. If the speed of the train is 54 km, what is the length of the walking platform?

  1. 225 மீ / 225m

  2. 200 மீ/ 200m

  3. 500 மீ/ 500m

  4. 300 மீ/ 300 m

  5. இவற்றில் ஏதுமில்லை/None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The train speed is 54 km/h = 15 m/s. In 20 seconds, it travels 300 m, which is the train's length. In 35 seconds, it travels 525 m, so the platform length is 525 - 300 = 225 m.