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

Directions: The question below is followed by two statements labelled I and II. You have to decide whether the data given in these statements is sufficient to answer the question, and then mark the answer accordingly. A 250 metres long train, Geetanjali Express, when moving from Howrah to Tatanagar, crosses Subarnarekha Bridge in 30 seconds. What is the speed of Geetanjali Express? I. Bombay Mail, which runs at 60 km/hr, crosses the Subarnarekha Bridge in 30 seconds. II. Bombay Mail, when running at 90 km/hr, crosses a lamp post in 10 seconds.

  1. Statement I alone is sufficient to answer the question.

  2. Statement II alone is sufficient to answer the question.

  3. Both statements I and II together are sufficient, but neither statement alone is sufficient to answer the question.

  4. Either statement I or statement II alone is sufficient to answer the question.

  5. Both statements I and II are insufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

What is the speed of train X? (I) Train X crosses another 200 m long train in 6 seconds. (II) The speed of another train is 80 km/hr. (III) The length of train X is half of the length of another train.

  1. Only I and II

  2. Only II and III

  3. Only I and III

  4. All

  5. Answer can't be given even using all the three statements.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

From I and III: Train X length = 200/2 = 100m. Train X crosses 200m train in 6 seconds. Relative speed = (100 + 200)/6 = 50 m/s = 180 km/hr. But we don't know if trains are moving in same or opposite direction. Statement II gives other train's speed as 80 km/hr, but without direction, we cannot find train X's speed (could be 180-80=100 or 180+80=260 km/hr). The answer cannot be determined uniquely.

Multiple choice

A 350 metre long train travelling at a uniform speed, crosses a platform in 60 second and a man standing on the platform in 10 second . What is the length of platform.
  1. $1600 m.$
  2. $1000 m.$
  3. $1200 m.$
  4. $1750 m.$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Train crosses a man in 10 seconds, so train's speed = 350/10 = 35 m/s. Same train crosses platform in 60 seconds, so total distance (train + platform) = 35 × 60 = 2100 m. Platform length = 2100 - 350 = 1750 m. This matches option D.

Multiple choice

If the speed of the train be 80 kmph and it takes 6 seconds to pass a platform. Next it takes 5 seconds to pass a cyclist walking at the rate of 12 kmph in the same direction. What is the length of the platform? (in meter)

  1. 38.89

  2. 35.56

  3. 48.56

  4. 32.35
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The correct answer is A. When train passes platform: length of train + length of platform = (80 × 6/3.6) = 133.33 m. When train passes cyclist: relative speed = (80 - 12) = 68 kmph = 18.89 m/s. So length of train = 18.89 × 5 = 94.44 m. Therefore, platform length = 133.33 - 94.44 = 38.89 m.

Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What is the relative speed of two trains moving in opposite directions? (I) Both trains cross each other in 14 seconds. (II) Total length of both trains is 560 m. (III) The speed of one of them train is 60 km/hr.

  1. Only II and III

  2. Only I and III

  3. Only I and II

  4. All of these

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Relative speed = Total distance / Time taken. Statement I gives the crossing time (14 seconds). Statement II gives total length (560 m). With these two, relative speed = 560/14 = 40 m/s. Statement III gives an individual train's speed (60 km/hr), which is not needed for calculating relative speed when trains move in opposite directions.

Multiple choice

A train crosses another train coming from the opposite direction in 9 seconds. If the length of the trains is 100m then what is the speed of the train? (I) The train passes a platform in 14 seconds. (II) The speed of the other train is 90 km/hour. (III) The other train passes a pole in 6 seconds.

  1. Only II

  2. Only III

  3. Only I

  4. Either I & II or II & III

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

The question lacks the speed of the first train. Statement II gives other train's speed (90 km/h), and III gives its length (from pole time), allowing us to find both trains' speeds and lengths to solve. Statement I alone is insufficient. Either II & III together (with the crossing time) is sufficient, or I & II together. Since no single option says II & III, E is correct.

Multiple choice

What is the speed of train x (in km/hr.)? I. The length of train x is twice the train y and speed of train y is 100 m/sec. II. The train x crosses train y in 10 seconds. The length of train x is 100 m.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives: Length of train x = 2 × Length of train y, Speed of train y = 100 m/s. But we need speed of train x in km/h - this requires knowing how they cross or some relation. Statement II gives: Train x crosses train y in 10 seconds, Length of train x = 100m. This gives relative speed if we knew length of train y. Even together: from I, Lx = 2Ly and from II, Lx = 100m, so Ly = 50m. Total distance to cross = 100 + 50 = 150m, time = 10s, so relative speed = 15 m/s. But we don't know if they're moving in same or opposite direction, so we can't determine train x's absolute speed. Answer D (not sufficient) is correct.

Multiple choice

Two trains of length 100 m and 200 m are moving with speed 30 m/s and 20 m/s respectively.How much time it will take to cross each other when they are going in same direction?

  1. 20 sec

  2. 21 sec

  3. 18 sec

  4. 30 sec

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When trains move in the same direction, their relative speed is the difference of their individual speeds: 30 - 20 = 10 m/s. The total distance to cover is the sum of their lengths: 100 + 200 = 300 m. Time = Distance/Relative Speed = 300/10 = 30 seconds.

Multiple choice

A 100 m long train moving at the speed of 30 m/sec. crosses another 120 m long train coming from opposite direction in 6 seconds.What is the speed of second train?

  1. 13 km/hr

  2. 80 km/hr

  3. 60 km/hr

  4. 50 km/hr

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Total distance = 100 + 120 = 220 m. Time = 6 seconds. Relative speed = 220/6 = 36.67 m/s. If train 1 speed = 30 m/s, then train 2 speed = 36.67 - 30 = 6.67 m/s (since opposite directions). Converting: 6.67 m/s × 18/5 = 24 km/hr. Checking options: 13, 80, 60, 50 km/hr - none match 24 km/hr, so answer is E.

Multiple choice

Train A travelling with a speed of 90 km/hr crosses a 500 m long train B travelling in the opposite direction in 36 seconds. What is the length of train A?

  1. 500 metre

  2. 250 metre

  3. 600 metre

  4. Data inadequate

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For two trains crossing in opposite directions, relative speed = sum of individual speeds. However, we only know train A's speed (90 km/hr) and train B's length (500 m). Without train B's speed, we cannot determine the relative speed or total distance covered in 36 seconds. Total distance = length_A + length_B, but we have too few unknowns.

Multiple choice

What is the speed of the train? I. Length of the train is 300 meters. II. The train crosses a platform of equal its length in 54 sec. III. The train crosses a signal pole in 18 sec.

  1. Only I and II

  2. Only II and III

  3. Only I and either II or III

  4. Any two of the three

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Any two statements are sufficient: I+II gives speed = 300m/54s = 50/9 m/s; I+III gives speed = 300m/18s = 50/3 m/s (but these don't match - likely typo in question); II+III: platform length = train length = 300m, time = 54-18=36s, speed = 600/36 = 50/3 m/s. D is correct.

Multiple choice

Train A crossed a stationary train 39 seconds it also crossed a man standing on a platform in 19 seconds the length of the train. A is 456 meter. What is the length of the statuary ?

  1. 420 meter

  2. 360 meter

  3. 400 meter

  4. 480 meter

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When Train A crosses a man in 19 seconds, its length passes a point: speed = 456/19 m/s. When it crosses a stationary train in 39 seconds, it covers its own length plus the stationary train's length. Let stationary train length = L. Then (456+L)/(456/19) = 39. Solving: 456+L = 39×(456/19) = 39×24 = 936, so L = 936-456 = 480 meters. Option D is correct.