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

Passage

In each of the following questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer नीचे दिए गए प्रत्येक प्रश्न में एक प्रश्न और उसके नीचे दो कथन I और II दिए गए हैं। आपको यह तय करना होगा कि कथन में दिए गए डेटा प्रश्न का उत्तर देने के लिए पर्याप्त हैं या नहीं। दोनों कथनों को पढ़ें और उत्तर दें

What is the length of the train? ट्रेन की लंबाई कितनी है? I. The train takes 15 sec to cross a pole. II. The train takes 30 sec to cross two poles,150 m apart. I। ट्रेन को एक पोल को पार करने में 15 सेकंड लगते हैं। II। ट्रेन 150 मीटर दूरी पर स्थित दो पोल को पार करने में 30 सेकंड लेती हैI

  1. Data in Statement I along are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question. कथन I में डेटा प्रश्न का उत्तर देने के लिए पर्याप्त हैं, जबकि कथन II में दिए गए डेटा प्रश्न का उत्तर देने के लिए पर्याप्त नहीं हैं।

  2. Data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question. कथन II में डेटा अकेले प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि कथन I में दिए गए डेटा प्रश्न का उत्तर देने के लिए पर्याप्त नहीं हैं।

  3. Data in Statement I alone or in statement II alone are sufficient to answer the question. डेटा कथन I अकेले या कथन II अकेले प्रश्न का उत्तर देने के लिए पर्याप्त हैं।

  4. Data in both the statements I and II are not sufficient to answer the question. I और II दोनों कथनों में डेटा प्रश्न का उत्तर देने के लिए पर्याप्त नहीं है।

  5. Data in both the Statements I and II together are necessary to answer the question. प्रश्न का उत्तर देने के लिए कथन I और II दोनों में डेटा आवश्यक है।
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I gives speed = length/15. Statement II gives (length + 150)/30 = speed. With both statements, we can set up: length/15 = (length + 150)/30, which gives 30×length = 15×(length + 150), so 30×length = 15×length + 2250, meaning 15×length = 2250, so length = 150m. Both statements together are necessary and sufficient.

Multiple choice

Passage

In the given questions three quantities (Q1 ,Q2 and Q3) are given you have to compared these quantities and answer the given questions.

Q1: A hovercraft can run 60km/h on still water but due to ocean current its speed is reduced by 20%. And speed on land is 40km/h. find the average speed if its runs same time in ocean and on land? Q2: A man drive a car in 4×400m track of a ground. If he completed two and one fourth of round in 5 min 24 sec. Then speed of car is? Q3: Speed of Train, if a train is crossed a platform of its same length in 15 seconds and crossed a 50 m long train in 10 second.

  1. Q1 > Q2 > Q3

  2. Q1 Q3

  3. Q1 < Q2 < Q3

  4. Q2 < Q1 < Q3

  5. Q1< Q2 = Q3
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Q1: Ocean speed = 60×0.8 = 48 km/h, Land speed = 40 km/h. Average speed with equal time = (48+40)/2 = 44 km/h. Q2: Track = 400m, 2.25 rounds = 900m in 5min24sec = 324sec. Speed = 900/324 = 2.78 m/s = 10 km/h. Q3: Let train length = L. Speed = L/15 (crossing platform) = (L+50)/10 (crossing 50m train). Solving: L/15 = (L+50)/10 gives L=150m. Speed = 150/15 = 10 m/s = 36 km/h. Comparison: 44 > 10 < 36, so Q2 < Q3 < Q1, which means Q2 < Q1 < Q3.

Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. (only quantity is to be considered)

Quantity I : A 300 m long train crosses a 150 m long tunnel at the speed of 108 km/h, then what is the time taken by the train to cross the tunnel? Quantity II : Train H of length 360 m crosses a pole in 18 seconds. What is the time taken by train P of length 340 m coming from the opposite direction running at the speed of 30m/s to cross the running train H ?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or relation can't be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Total distance = 300 + 150 = 450 m. Speed = 108 km/h = 30 m/s. Time = 450/30 = 15 seconds. Quantity II: Train H speed = 360/18 = 20 m/s. Combined relative speed = 20 + 30 = 50 m/s. Total distance = 360 + 340 = 700 m. Time = 700/50 = 14 seconds. Since 15 > 14, Quantity I > Quantity II.

Multiple choice

Passage

Each of questions given below is followed by three Statements I, II and III. You have to study the questions and all the three statements given to decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the given question.

How much time will the train A take to cross another train B running in opposite direction. I. Train A crosses a signal pole in 6 s. II. Ratio of the speeds of trains A and B is 3: 2. III. Length of the two trains together is 500 m.

  1. Only I

  2. Only II

  3. Only III

  4. I and II

  5. The question cannot be answered even with the information in all the three statements.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

To find crossing time, we need: time = total length / relative speed. I gives speed of A (length/6). II gives speed ratio A:B = 3:2. III gives total length. But we need individual train lengths to use the speed ratio, or need actual speeds. With only total length and speed ratio, we cannot determine individual lengths. Therefore the question cannot be answered.

Multiple choice

Passage

In each of the following questions, a question & then two statements – I & II are given. You have to determine that the data provided in these statements is enough to answer the question or not. Study both the statement:

Two trains, running in the opposite direction cross each other in 15 sec. What is the difference between their lengths? Statement I: The difference between their speeds is 12 m/sec Statement II: The sum of their speeds is 28 meters per second.

  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: Difference of speeds = 12 m/s. We need relative speed (sum) for crossing time, not difference. Not sufficient. Statement II: Sum of speeds = 28 m/s. This gives total length = 15 × 28 = 420 m, but not the difference of individual lengths. Not sufficient. Together: We still cannot determine individual lengths or their difference. Neither statement alone or together is sufficient (option D).

Multiple choice

Passage

Each of the following questions below consists of a question and two statements numbered I and II given. You have to decide whether the data provided in the statements is sufficient to answer the question.

What is the length of train? I. The train crosses a 120 meters long platform in 15 seconds. II. The train crosses a person walking in opposite direction in 6 seconds.

  1. statement, I alone is sufficient to Answer

  2. statement II alone is sufficient to Answer

  3. Either Statement I or Statement II is sufficient to answer the question

  4. neither statement I nor II is sufficient to answer the question.

  5. Both statements I and II together is necessary to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I: Train crosses 120m platform in 15 sec. This gives (L + 120)/15 = speed, but speed unknown. Statement II: Train crosses a person in 6 sec. This gives L/6 = relative speed, but person's speed unknown. Without person's walking speed, we cannot find L. Both together insufficient.

Multiple choice

Passage

The questions given below contain two statements numbered I and II giving certain data. You have to decide whether the data given in the statements are sufficient to answer the question. नीचे दिए गए प्रश्नों में दो कथन क्रमांक I और II दिए गए हैं जो कुछ निश्चित आंकड़े देते हैं। आपको यह तय करना है कि कथनों में दिया गया डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है या नहीं।

What is the speed of the bullet train? बुलेट ट्रेन की स्पीड कितनी होती है? I. The train crosses a standing man in 12 sec. II. The train crosses a bridge of length 250 m in 20 seconds. I. ट्रेन 12 सेकंड में एक खड़े आदमी को पार करती है। II. ट्रेन 20 सेकंड में 250 मीटर लंबे पुल को पार करती है।

  1. The train crosses a standing man in 12 sec. यदि कथन I अकेला पर्याप्त है लेकिन केवल कथन II पर्याप्त नहीं है।

  2. If statement II alone is sufficient but statement, I alone is not sufficient. यदि केवल कथन II पर्याप्त है लेकिन केवल कथन I ही पर्याप्त नहीं है।

  3. If either statement I or II is sufficient. यदि या तो कथन I या II पर्याप्त है।

  4. If both statement I and II together are sufficient, but neither of them alone is sufficient. यदि कथन I और II दोनों एक साथ पर्याप्त हैं, लेकिन उनमें से कोई भी अकेला पर्याप्त नहीं है।

  5. If both statement I and II together are not sufficient. यदि कथन I और II दोनों एक साथ पर्याप्त नहीं हैं।
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the speed, we need both train length and speed. Statement I gives length = speed × 12. Statement II gives length + 250 = speed × 20. Neither alone gives speed. Together: subtracting I from II gives 250 = speed × 8, so speed = 31.25 m/s. Both statements are necessary.

Multiple choice

Passage

The questions given below contain two statements numbered I and II giving certain data. You have to decide whether the data given in the statements are sufficient to answer the question. नीचे दिए गए प्रश्नों में दो कथन क्रमांक I और II दिए गए हैं जो कुछ निश्चित आंकड़े देते हैं। आपको यह तय करना है कि कथनों में दिया गया डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है या नहीं।

A train crosses a pole in 10 seconds, what is the length of the train? एक रेलगाड़ी एक खम्भे को 10 सेकण्ड में पार करती है, रेलगाड़ी की लम्बाई कितनी है? I. The train crosses another train coming from the opposite direction 200-meter-long in 22 seconds. II. The speed of the second train is 72 km./hr. I. ट्रेन विपरीत दिशा से 200 मीटर लंबी दूसरी ट्रेन को 22 सेकंड में पार करती है। II. दूसरी ट्रेन की गति 72 किमी /घंटा है।

  1. If statement I alone is sufficient but statement II alone is not sufficient. यदि कथन I अकेला पर्याप्त है लेकिन केवल कथन II पर्याप्त नहीं है।

  2. If statement II alone is sufficient but statement, I alone is not sufficient. यदि केवल कथन II पर्याप्त है लेकिन केवल कथन I ही पर्याप्त नहीं है।

  3. If either statement I or II is sufficient. यदि या तो कथन I या II पर्याप्त है।

  4. If both statement I and II together are sufficient, but neither of them alone is sufficient. यदि कथन I और II दोनों एक साथ पर्याप्त हैं, लेकिन उनमें से कोई भी अकेला पर्याप्त नहीं है।

  5. If both statement I and II together are not sufficient. यदि कथन I और II दोनों एक साथ पर्याप्त नहीं हैं।
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let train length = L and speed = S. Crossing the pole: L = 10S. Statement I alone: L + 200 = (S + S₂) × 22, but S₂ is unknown. Statement II alone: S₂ = 72 km/h = 20 m/s, but no link to our train. Even together: L + 200 = (S + 20) × 22 and L = 10S gives 10S + 200 = 22S + 440, leading to S = -20 m/s, which is impossible. The question is mathematically inconsistent.

Multiple choice

Passage

S.111-115) Directions for questions: 2 trains start from A and B and move towards B and A respectively. Train from A starts at 8 am and reaches B at 4 pm while train from B starts at 10 am and reaches A at 10 pm. Also, Train from A crosses a platform 200 m long in 10 seconds and a man moving in the same direction at 5 m/sec in 5 seconds.

Q.111) What is the length of train starting from A?

  1. a) 200 m

  2. b) 150 m

  3. c) 100 m

  4. d) 75 m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Train A crosses a man moving in the same direction: (Length of train) / (Speed of train - Speed of man) = 5. L / (V - 5) = 5. Train A crosses a platform: (L + 200) / V = 10. L + 200 = 10V. From first, L = 5V - 25. Substitute into second: 5V - 25 + 200 = 10V. 5V = 175, V = 35. L = 5(35) - 25 = 175 - 25 = 150.

Multiple choice

Passage

Directions to Solve In each of the questions below consists of a question and two statements numbered I II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

What is the length of train 'A'? I. Train A takes 8 second to cross a pole II. Train A cross train B coming from opposite side in 8 second, speed of train B is 25 m/sec and length of train B is half of that of train A. III. Train A takes 10 sec to cross two poles 100 m apart.

  1. I and II

  2. II and III

  3. I and III

  4. Any two of them

  5. All of them combined
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Passage

Directions: Study the given data carefully and answer the following question. Three trains are standing at the same platform. The data regarding the three trains are given below. Train P: It travels 20% less distance than R. Train Q: It travels 420 km at a speed of 60 km/hr. Train R: It travels for 10 hours and has 10% more speed than train Q.

If train Q starts half an hour before train R and they are travelling in the same direction, then after how many hours will train R cross train Q?

  1. 3 hours

  2. 4 hours

  3. 6 hours

  4. 5 hours

  5. 7 hours
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Train Q: 420 km at 60 km/hr = 7 hours. Train R: Speed = 1.1 * 60 = 66 km/hr. Train R travels for 10 hours. Relative speed = 66 - 60 = 6 km/hr. Train Q has a 0.5 hour head start, so it is 30 km ahead. Time to cross = 30 / 6 = 5 hours.

Multiple choice

Passage

Directions: The question given below is followed by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question. Mark your answer as per these codes: (a) Either (A) or (B) are sufficient. (B) Only (C) is sufficient. (c) Any two of the three statements are sufficient. (d) (A) and either (B) or (C) are sufficient. (e) All are necessary to answer the given question.

What is the length of the train if the length of the platform is 320 m more than the length of the train? (A) The time taken by the train to cross the platform is 8 sec. (B) The time taken by the train to cross the pole is 2 sec. (C) The speed of the train is 80 m/sec.

  1. a

  2. b

  3. c

  4. d

  5. e
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

Passage

Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You are to use the given data and your knowledge of Mathematics to choose among the given options.

Quantity I: A train running at a speed of 90 km/hr crosses a 0.18 km long platform in half a minute. Time taken by it to cross a 280 m long platform Quantity II: A 300 m long train crosses a still car in half a minute. Time taken by it to cross another car with a speed of 18 km/hr travelling in the opposite direction (Assuming the length of the car negligible w.r.t. the train)

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I = Quantity II or no relation can be established.

  5. Quantity I ≤ Quantity II
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Speed = 90 km/hr = 25 m/s. Time to cross 0.18 km (180 m) platform: (Length of train + 180) / 25 = 30. Length of train = 750 - 180 = 570 m. Time to cross 280 m platform: (570 + 280) / 25 = 850 / 25 = 34 seconds. Quantity II: 300 m train crosses car in 30s. Speed of train = 300 / 30 = 10 m/s. Relative speed with car at 18 km/hr (5 m/s) in opposite direction = 10 + 5 = 15 m/s. Time = 300 / 15 = 20 seconds. 34 > 20.

Multiple choice

Passage

Directions: In this problem, a question is given followed by three statements, labelled as A, B and C. Read the statements carefully and determine which of them is/are sufficient/necessary to answer the question.

What is the time interval for which the train 'Jaipur Amritsar Junction Express' stops each hour? A. The length of train 'Jaipur Amritsar Junction Express' is 250 m. It takes 15 seconds to cross a pole. B. The train 'Jaipur Amritsar Junction Express' covers a certain distance at a speed of 60 km/hr. C. Due to stopping for a fixed time interval each hour, its average speed reduces to 50 km/hr.

  1. Only A and B together are sufficient.

  2. Either A and C together or B and C together are sufficient.

  3. Only A and C together are sufficient.

  4. Only C and B together are sufficient.

  5. All A, B and C together are necessary.
Reveal answer Fill a bubble to check yourself
C Correct answer