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

What is the length of the train? I. It takes 15 seconds to cross a pole II. It takes 10 seconds to cross a 60 m-long platform.

  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 statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

From I: The train crosses a pole in 15 seconds, so its length L = speed × 15. But we don't know the speed. From II: The train crosses a 60 m platform in 10 seconds, so L + 60 = speed × 10. Combining both: From I, speed = L/15. Substituting in II: L + 60 = (L/15) × 10, which gives L = 180 m. Both statements together are sufficient but neither alone is.

Multiple choice

A train passes two bridges of length 210 m. and 122 m in 25 second and 17 seconds respectively .The length and speed of the train will be respectively?

  1. 65 m, 39.6 km/hr.

  2. 65 m, 39 km/hr.

  3. 64 m, 39.6 km/hr.

  4. 64 m, 39 km/hr.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let train length be L and speed be S. For Bridge 1: L+210 = 25S. For Bridge 2: L+122 = 17S. Subtracting gives 88 = 8S, so S = 11 m/s = 39.6 km/hr. Substituting: L = 17×11 - 122 = 187 - 122 = 65m. Option A (65m, 39.6 km/hr) is correct.

Multiple choice

A 200 metre long train running at a speed of 72 km./hr. crosses a platform in 18 seconds, then the length of the platform is :

  1. 150 m.

  2. 170 m.

  3. 140 m.

  4. 160 m.

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

Train speed = 72 km/hr = 72 × 1000/3600 = 20 m/s. Distance covered in 18 seconds = Speed × Time = 20 × 18 = 360 m. This distance equals the train length plus platform length: 200 + Platform = 360. Therefore, Platform length = 360 - 200 = 160 m.

Multiple choice

A and B are two stations 800 km apart . A train starts from A and moves towards B at 40 km/hr. Another trains from B at the same time and moves towards A at 60 km/hr .How far from A will they cross each other ?

  1. 320 km

  2. 340 km

  3. 410 km

  4. 290 km
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The trains approach each other at a combined speed of 40 + 60 = 100 km/hr. To cross 800 km, they need 800/100 = 8 hours. The train from A travels 40 × 8 = 320 km before meeting. Option A is correct.

Multiple choice

A train crosses a pole and bridge 200 meter long in 20 second and 30 second respectovely .how long will the train take to cross a plateform 400 meter long?

  1. 20 sec

  2. 30 sec

  3. 40 sec

  4. 45 sec

  5. 50 sec
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let train length be L meters. Speed = distance/time. Crossing pole: speed = L/20 m/s. Crossing bridge: speed = (L+200)/30 m/s. Equating: L/20 = (L+200)/30, giving 30L = 20L + 4000, so L = 200m. Speed = 200/20 = 10 m/s. Time for 400m platform = (200+400)/10 = 60 seconds... Wait, let me recalculate. Actually: L/20 = (L+200)/30 means 3L = 2L + 400, so L = 400m. Speed = 400/20 = 20 m/s. Time for platform = (400+400)/20 = 40 seconds.

Multiple choice

What is the length of the platform? Statement I: A train crosses a man who is standing on the platform with the speed of 54 km/hr in 20 sec. Statement II: The same train crosses the platform in 26 sec.

  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 I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

From Statement I, the train length = speed × time = 15 m/s × 20 s = 300 m (since 54 km/hr = 15 m/s). However, this only gives the train length, not the platform length. Statement II tells us that (train length + platform length) = 15 m/s × 26 s = 390 m. But without knowing the train length separately, we cannot isolate the platform length. Combining both statements: platform length = 390 - 300 = 90 m. Thus both statements together are necessary, neither alone is sufficient.

Multiple choice

The speed of two train are in the ratio of 4:5. They are running in the same direction along the parallel tracks.If each cross a pole in 5second.Find the time required by fast train to cross the slow train completely? दो रेलगाड़ी की चाल का अनुपात 4 : 5 हैं | यदि यह समान दिशा में समान्तर पटरी पर चल रही है और एक खंभे को पार करने में 5 सेकंड लेती है | ज्ञात कीजिये की तेज रेलगाड़ी धीमी रेलगाड़ी को कितने समय में पार करेगी ?

  1. 9 seconds/सेकेंड्स

  2. 15 seconds/सेकेंड्स

  3. 30 seconds/सेकेंड्स

  4. 45 seconds/सेकेंड्स
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Speed ratio 4:5, both cross pole in 5 seconds, so lengths are in ratio 4:5. Let speeds be 4v and 5v, lengths be 4L and 5L. Since length = speed × time: 4L = 4v × 5, so L = 5v. Fast train length = 25v, slow train length = 20v. Relative speed (same direction) = 5v - 4v = v. Total distance = 45v. Time = 45v/v = 45 seconds.

Multiple choice

A train with a uniform speed passes a platform, 122 m. long, in 17 sec and a bridge 210 meters long in 25 seconds.Find the speed of the train. एक ट्रेन 122 मी.लम्बा प्लेटफार्म 17 सेकंड में और 210 मी. लम्बा पुल 25 सेकंड में पार करती हैं। ट्रेन की चाल ज्ञात कीजिये।

  1. 37.6 km/hr. / किमी/घंटा

  2. 41.5 km/hr. / किमी/घंटा

  3. 46.5 km/hr. / किमी/घंटा

  4. 39.6 km/hr. / किमी/घंटा
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let train length = L meters and speed = S m/s. Speed = (L + platform length)/time, so S = (L + 122)/17 = (L + 210)/25. Cross-multiplying: 25(L + 122) = 17(L + 210), giving 25L + 3050 = 17L + 3570, so 8L = 520 and L = 65m. Speed = (65 + 122)/17 = 187/17 m/s. Converting to km/hr: (187/17) × (3600/1000) = 39.6 km/hr.

Multiple choice

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks .The time which they take to cross each other, is in second- 140 मी और 160 मी लम्बाई वाली दो रेलगाड़ी समान्तर पथ पर विपरीत दिशा में 60 किमी/घंटा और 40 किमी/घंटा की चाल से जा रही है |एक दूसरे को पार करने में लिया गया समय (सेकेण्ड में)

  1. 10

  2. 10.8

  3. 9

  4. 9.6
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total distance to cover = 140 + 160 = 300 m. Relative speed when moving in opposite directions = 60 + 40 = 100 km/hr = 100 × (5/18) = 27.78 m/s. Time = Distance/Speed = 300/27.78 ≈ 10.8 seconds. The trains must cross each other completely, so sum of lengths is used.