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 general knowledge math & puzzles

A train travelling at 60 kmph enters a tunnel that is 5 km long. The train is one km long. How many minutes does it take for the train to pass through the tunnel?

  1. 4

  2. 5

  3. 6

  4. 7
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To pass through the tunnel completely, the train must cover its own length plus the tunnel's length, totaling 6 km (1 km + 5 km). At a speed of 60 kmph, it travels 1 km per minute. Therefore, it takes exactly 6 minutes. Distractors like 5 minutes incorrectly ignore the train's length.

Multiple choice general knowledge math & puzzles

Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him.What is the length (in mts.) of faster train ?

  1. 100

  2. 75

  3. 125

  4. 150
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed in the same direction is the difference: 50 - 32 = 18 kmph. Converting to m/s: 18 * (5/18) = 5 m/s. Distance = Speed * Time = 5 m/s * 15 s = 75 meters.

Multiple choice general knowledge

There is a train one kilometer long, traveling at a rate of one kilometer per minute through a tunnel which is one kilometer long. How long will it take the train to pass?

  1. 1 min

  2. 2 min

  3. 3 min

  4. 4 min
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For a train to completely pass through a tunnel, it must travel its own length plus the tunnel length. Train = 1 km, tunnel = 1 km, so total distance = 2 km. At 1 km/min speed, time = distance/speed = 2/1 = 2 minutes. The train's front enters at t=0 and the rear exits at t=2.

Multiple choice general knowledge math & puzzles

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

  1. 150 metres

  2. 180 metres

  3. 320 metres

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When a train crosses a pole, the distance traveled equals its own length. Speed 60 km/hr = 60 × (5/18) = 50/3 m/s. Distance = Speed × Time = (50/3) × 9 = 150 metres. Option B (180 m) would require different speed or time values.

Multiple choice general knowledge math & puzzles

A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

  1. 65 sec

  2. 89 sec

  3. 100 sec

  4. 150 sec
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

First find train speed: 240 m in 24 sec = 10 m/s. To cross the 650 m platform, total distance = train length + platform length = 240 + 650 = 890 m. Time = 890 m / 10 m/s = 89 seconds. Option A (65 sec) ignores train length, Option C (100 sec) uses incorrect calculation.

Multiple choice general knowledge math & puzzles

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

  1. 200 m

  2. 225 m

  3. 245 m

  4. 250 m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Train speed 45 km/hr = 45 × (5/18) = 12.5 m/s. In 30 seconds, distance traveled = 12.5 × 30 = 375 m. This equals train length + bridge length. Bridge length = 375 - 130 = 245 metres. Option B (225 m) or D (250 m) would result from arithmetic errors.

Multiple choice general knowledge math & puzzles

A good train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

  1. 230 m

  2. 240 m

  3. 260 m

  4. 270 m
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Goods train speed 72 kmph = 72 × (5/18) = 20 m/s. In 26 seconds, distance = 20 × 26 = 520 m. This equals train length + platform length. Train length = 520 - 250 = 270 metres. Options A (230 m), B (240 m), C (260 m) are incorrect calculations.

Multiple choice general knowledge math & puzzles

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train in 54 km/hr, what is the length of the platform?

  1. 120 m

  2. 240 m

  3. 300 m

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Converting speed: 54 km/hr = 15 m/s. Train length from passing the man: 15 × 20 = 300 m. Combined distance (train + platform): 15 × 36 = 540 m. Platform length alone: 540 - 300 = 240 m.

Multiple choice general knowledge math & puzzles

2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?

  1. 40

  2. 30

  3. 80

  4. 60
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To solve this problem, the user needs to know the concept of distance = speed x time and the concept of relative speed.

Let d be the distance travelled by the freight train before it was overtaken by the passenger train.

Let s be the speed of the freight train.

The passenger train overtakes the freight train after traveling 4 hours. Hence, the passenger train covers a distance of d + 4s.

Since the passenger train overtakes the freight train, the distance covered by the freight train is equal to the distance covered by the passenger train. That is, 

d = d + 4s - 4 x 16

where 4 x 16 is the distance covered by the passenger train in 4 hours.

Simplifying the above equation, we get:

4s = 64

s = 16

Therefore, the average speed of the freight train was s = 16 km/hr.

Option A) 40, Option B) 30, Option C) 80, and Option D) 60 are incorrect.

Option A) 40 is incorrect because we have already calculated the average speed of the freight train to be 16 km/hr.

Option B) 30 is incorrect because we have already calculated the average speed of the freight train to be 16 km/hr.

Option C) 80 is incorrect because it is too high and not possible given the information in the problem.

Option D) 60 is incorrect because it is too high and not possible given the information in the problem.

Therefore, the answer is:

The Answer is: A. 16

Multiple choice general knowledge math & puzzles

A train 125 m long passes a man, running at 5 kmph in the same direction in which the train is going, in 10 seconds. The speed of the train is:

  1. 45 km/hr

  2. 50 km/hr

  3. 54 km/hr

  4. 55 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed = Distance / Time = 125 / 10 = 12.5 m/s. Converting to kmph: 12.5 * (18/5) = 45 kmph. Since they move in the same direction, Relative Speed = Train Speed - Man Speed. 45 = V - 5, so V = 50 kmph.

Multiple choice general knowledge sports

Two 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:

  1. 1/2

  2. 3/2

  3. 1/6

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ratio 3:2 is correct. If train lengths are L1, L2 and speeds v1, v2, then L1/v1=27, L2/v2=17, and (L1+L2)/(v1+v2)=23. Substituting L1=27v1, L2=17v2: (27v1+17v2)/(v1+v2)=23. Solving: 27v1+17v2=23v1+23v2, so 4v1=6v2, giving v1:v2=3:2.

Multiple choice general knowledge math & puzzles

A train, 0.25 miles long, going at a speed of 40mph enters a tunnel that is 2.25 miles long. How long does it take for all of the train to pass through the tunnel from the moment the front enters it, to the moment the rear emerges?

  1. 2 minutes 30 seconds

  2. 3 minutes 45 seconds

  3. 4 minutes 15 seconds

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total distance to clear the tunnel = Tunnel length + Train length = 2.25 + 0.25 = 2.5 miles. Time = Distance / Speed = 2.5 / 40 = 0.0625 hours. 0.0625 * 60 = 3.75 minutes (3 min 45 sec).

Multiple choice general knowledge sports

A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?

  1. 240

  2. 360

  3. 280

  4. 420
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Speed = 72 kmph = 72 × (5/18) = 20 m/s. Train crosses a man in 18 seconds, so train length = 20 × 18 = 360 m. Train crosses platform in 30 seconds, so distance covered = 20 × 30 = 600 m. Platform length = total distance - train length = 600 - 360 = 240 m. The key insight is that crossing the man gives the train length, and crossing the platform gives train + platform length.