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: Each of the questions below consists of a question and May Four statements numbered I, II, III and IV given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer: What is the time taken by the train to cross the Agra junction platform of length 300 m? I. The speed of the train is 90 kmph. II. It takes 10 sec more to cross the Hazrat Nizamuddin platform of 500 m length than to cross the Agra junction platform, and it takes 30 sec to cross the Yamuna bridge of 400 m.

  1. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

  2. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  3. The data in statement I alone or in statement II alone is sufficient to answer the question.

  4. The data in both the statements I and II is not sufficient to answer the question.

  5. The data in both the statements I and II together is necessary to answer the question
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement II provides enough information to find the speed and the time taken. By comparing the time taken to cross the 500m platform and the 300m platform, we can determine the speed of the train. Once the speed is known, the time to cross the 300m platform is easily calculated.

Multiple choice

Directions: The following question is accompanied by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the question. There are two trains A and B. If five more compartments of length 14 m each are attached to the longer train, then in what time does train A and train B cross each other running in opposite directions? (A) The ratio of the length of train A to that of train B was 6 : 7 before additional five compartments were attached to the longer train. The speed of longer train was 76 km/hr and the speed of the shorter train was (25/19)th of the speed of the longer train. (B) Both the trains cross each other in 39 sec before additional five compartments were attached to the longer train when they were running in same direction.

  1. Statement A alone is sufficient to answer the question, but statement B alone is not sufficient to answer the question.

  2. Statement B alone is sufficient to answer the question, but statement A alone is not sufficient to answer the question.

  3. Either statement A or statement B by itself is sufficient to answer the question.

  4. Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

  5. Statements A and B taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement A gives speeds and relative length ratio. Statement B gives time to cross in same direction. Both are needed to find the original lengths and then the new time.

Multiple choice

Directions: The following questions are accompanied by three statements (A) or (b), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions. A train crosses another train in 10 sec. Find out the lengths of the trains. A. Ratio between the lengths the of second and first train is 4:5. B. Ratio between the speed of first and second trains is 1:2 C. The speed of first train is 36 km/hr.

  1. Only A and B together

  2. Only B and C together

  3. Only A and C together

  4. Questions can't be answered even after using all the information

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

Directions: The following questions are accompanied by three statements A, B and C. You have to determine which statement(s) is/are sufficient necessary to answer the questions and mark your answer accordingly. What is the speed of train P? (A) If train P and train Q move towards each other, they can cross each other in 4.5 sec. and if these trains move on parallel lines on same direction, then train P overtake train Q in 31.5 sec. (B) Train Q can cross a man running in opposite direction at 10 m/sec on 5 sec and also train Q can cross a man running in same direction at 10 m/sec in 7 sec. (C) Train P can cross a platform of double its length in 10.5 sec and can cross a pole in 3.5 sec.

  1. Any two of them

  2. A and B together only

  3. Either A and B or B and C

  4. Any one of them

  5. Either A or B and C together
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement A provides relative speeds. Statement B provides the speed of train Q. Statement C provides the length of train P. To find the speed of train P, we need its length and relative speed information. A and B together allow us to find the speed of both trains.

Multiple choice

Directions: The following question consists of two quantities, Quantity I and Quantity II. You are to compare the two quantities and find the correct relationship between both the quantities. Quantity I: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. The length of the platform, if the speed of the train is 54 km/hr, is: Quantity II: The length of the train, if a train running at the speed of 54 km/hr crosses a pole in 10 seconds, is:

  1. Quantity I < Quantity II

  2. Quantity I > Quantity II

  3. Quantity I ≤ Quantity II

  4. Quantity I ≥ Quantity II

  5. Quantity I = Quantity II, or No relation
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed = 54 km/hr = 15 m/s. Q1: Train length L, Platform P. (L+P)/15 = 36, L/15 = 20. L = 300m, P = 240m. Q2: L/15 = 10, L = 150m. Since 240 > 150, Q1 > Q2.

Multiple choice

Directions: In the following question, three statements are given. You have to find which of the statements is/are necessary and sufficient to answer the question that follows. A person travels from Jaipur to Delhi by a train and notices that with stoppages he covers the total distance in 63.3 hours. He wants to calculate the speed of the train without stoppages. What is the speed of the train excluding stoppages? Statement I: The total distance between Jaipur and Delhi is 750 km. Statement II: The first stoppage lasts for 4 minutes, the second for 6 minutes and the others like these for 8, 10, 12, …, 110 minutes. Statement III: The train can cross the platforms of the stations between Jaipur and Delhi in 15 seconds each.

  1. Only statement I is sufficient.

  2. Statement I and statement II are sufficient.

  3. Only statement II is sufficient.

  4. Statement I and statement III are sufficient.

  5. Statement I, statement II and statement III are sufficient.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To find the speed excluding stoppages, we need the total distance (Statement I) and the total time spent at stoppages (Statement II). Statement III is irrelevant to calculating the total stoppage time.

Multiple choice

Directions: In the following question, a given questions is followed by information in three statements. You have to decide the data in which statement (s) is sufficient to answer the question and mark your answer accordingly. Find the length of the train P? Statement I - The train P cross the train Q in 6 sec when train Q is not moving. Train Q cross train R in68 sec when both are moving same direction, speed of train R is 25m/sec. Statement II - Train P cross train R in 64 sec when both are moving same direction. Length of train Q is 140m.

  1. Only Statement I alone.

  2. Only Statement II alone.

  3. Both Statements I and II together.

  4. Neither Statement I nor II is sufficient.

  5. Either Statement I or II.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives several relative-speed equations but does not provide enough independent information to determine the length of train P. Statement II also leaves unknown train speeds and lengths, and combining both statements still does not determine P uniquely.

Multiple choice

Directions : Answer the question independently. Radha walks at a constant speed on a road parallel to the railway track joining Rampur and Laxmanpur stations in the direction towards Laxmanpur. Trains shuttle between the two stations throughout the day. Trains start from either station at the same time with same speed (which remains constant throughout the journey). The time between the consecutive trains starting from either station is also same. She observes that the train from Rampur to Laxmanpur crosses her after every 12 minutes while the train from Laxmanpur crosses her after every 8 minutes. What is the time interval between the two consecutive trains travelling in either direction?

  1. 48/5 min

  2. 48/7 min

  3. 34/5 min

  4. 23/7 min

  5. Culture influences choice making. Individualistic societies are taught the importance of personal choice while collectivist societies emphasize that what you eat, what you play with, what you study etc should be determined by society and should not be left to the whims of the individual.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the interval between departures from the same station be T. Relative-speed relations for trains moving with and against Radha give T = 24/5 minutes. The interval between consecutive trains travelling in either direction is twice this value, 48/5 minutes.

Multiple choice

The lengths of trains A and B are in the ratio 2:3. Which of them takes less time to cross the same platform? Statement I : The time taken by train A to cross train B when they are moving in opposite directions is half the time taken by it to cross train B, when moving in the same direction. Statement II : The ratio of the length of train B to that of the platform is 4 : 3.

  1. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

  2. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

  3. If the data either in statement I alone or in statement II alone is sufficient to answer the question

  4. If the data in both statements I and II together are necessary to answer the question

  5. If the data given in both statements I and II together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I provides the relative speeds in both directions, which allows comparing the time taken to cross another train. Statement II only gives a ratio of lengths, which is insufficient to determine time without speed information.

Multiple choice

A man is standing between the two parallel tracks. A passenger train reduces its speed in order to stop. The speed of the passenger train is 18 km/hr. It takes 30 seconds for the train to pass the man. Another train carrying goods doesn't stop and crosses the man in 4 seconds. The two trains cross each other in 8 seconds. Which of the following can be obtained from the above given information? (i) Time taken by the train which is carrying goods to cover the distance four times its length (ii) Time taken by the car to cross the man if the speed of the car is doubled (iii) Speed of the train carrying goods (iv) Ratio of the speed of the passenger train to that of the train carrying goods

  1. (i) only

  2. (i) and (iv) only

  3. (i), (iii) and (iv)

  4. (i) and (iii) only

  5. All (i), (ii), (iii) and (iv)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The passenger train length is 5 × 30 = 150 m. If the goods train speed is v m/s, its length is 4v, and crossing both trains in 8 seconds gives 150 + 4v = 8(5 + v), so v = 27.5 m/s. Thus statements (i), (iii), and (iv) can be obtained, while (ii) refers to an undefined car.

Multiple choice

What is the speed of the second train? I. Two trains of equal length cross each other in 12 seconds when moving in opposite directions. II. The speed of the first train is 60 km/h and its length is 360 metres.

  1. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

  2. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  3. Both statements (I) and (II) together are sufficient, but neither statement alone is sufficient.

  4. The data in both the statements I and II together is not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives the relative speed (2*length/12). Statement II gives the length and speed of one train. Together, these allow solving for the speed of the second train.

Multiple choice

Directions: The question below is followed by two statements numbered I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. What is the length of a train which crosses a pole in 20 seconds? I. The train crosses a 300 metres long platform in 35 seconds. II. The speed of the train is 72 km/hr.

  1. Data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

  2. Data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  3. Data either in statement I alone or in statement II alone is sufficient to answer the question.

  4. Data given in both the statements I and II together is not sufficient to answer the question.

  5. Data in both the statements I and II together is sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let length of train be L and speed be S. From the pole: L/S = 20. From the platform: (L + 300)/S = 35. Both statements provide enough information to solve for L and S.

Multiple choice

Directions: The question given below is followed by two statements I and II. You are to determine whether the data given in the statements is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. What is the length of the train? I. It passes a cycle moving at a speed of 10 km/hr in the same direction in 60 seconds. II. It passes a pole in 80 seconds while travelling at a speed of 120 km/hr.

  1. If the question can be answered by using statement I alone but cannot be answered by using statement II alone.

  2. If the question can be answered by using statement II alone but cannot be answered by using statement I alone.

  3. If both statements I and II together are required to answer the question.

  4. If the answer can be found by using any of the two statements alone.

  5. If both the statements together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement I: Relative speed = (V - 10) km/h. Length = (V-10)*5/18 * 60. Two variables (V and Length), cannot solve. Statement II: Speed = 120 km/h = 100/3 m/s. Length = 100/3 * 80 = 8000/3 m. Sufficient.

Multiple choice

Passage

Directions: The question below is followed by statements I and II. You are to determine whether the data given in the statements is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer (a) if the question can be answered by using statement I alone but cannot be answered by statement II alone (b) if the question can be answered by using statement II alone but cannot be answered by statement I alone (c) if both statements I and II together are required to answer the question (d) if the answer can be found by using any of the two statements alone (e) if both the statements together are not sufficient to answer the question

A train crosses a man in 8 seconds. Find the length of the train. I. Same train crosses another slower moving train, going in the same direction, at a speed of 25 m/sec in 20 seconds. II. Length of the slower train is 120 m.

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find the length of the train, we need its speed. Statement I gives the relative speed with another train, but we don't know the speed of the other train. Statement II gives the length of the other train. Together, we have: (L1 + L2) / (V1 - V2) = 20. We know L1/V1 = 8, L2 = 120, V2 = 25. We have two equations with two variables (L1, V1), allowing us to solve for L1.

Multiple choice

Passage

Directions: The question below is followed by statements I and II. You are to determine whether the data given in the statements is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer (a) if the question can be answered by using statement I alone but cannot be answered by statement II alone (b) if the question can be answered by using statement II alone but cannot be answered by statement I alone (c) if both statements I and II together are required to answer the question (d) if the answer can be found by using any of the two statements alone (e) if both the statements together are not sufficient to answer the question

Find the length of a train which crosses a bridge in 10.2 seconds. I. Length of bridge is 75 m and train is moving at 25 m/s. ">II. Ratio of length of train and that of bridge is 12 : 5.

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)
Reveal answer Fill a bubble to check yourself
A Correct answer