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

A train 300 metre long runs with a speed of 45 km/hr. What time will it take to pass a platform of 200 metre long? एक 300 मीटर लंबी ट्रेन 45 किमी / घंटा की रफ्तार से चलती है तो उसे 200 मीटर लंबे प्लेटफॉर्म के पार करने में कितना समय लगेगा?

  1. 36 seconds 36 सेकंड

  2. 40 seconds 40 सेकंड

  3. 45 seconds 45 सेकंड

  4. 50 seconds 50 सेकंड

  5. None of these इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total distance to cover = train length + platform length = 300 + 200 = 500 m. Speed = 45 km/hr = 45 × (5/18) = 12.5 m/s. Time = Distance/Speed = 500/12.5 = 40 seconds.

Multiple choice

A 150 metre long train was running at the speed of 36 km./hr. It takes 30 seconds to cross a platform completely. Find the length of the platform. 150 मीटर लम्बी रेलगाड़ी 36 किमी./घं. की चाल से चलते हुए एक प्लेटफार्म को 30 सेकेण्ड में पार करती है। प्लेटफार्म की लम्बाई ज्ञात करे।

  1. 300 meter 300 मीटर

  2. 160 meter 160 मीटर

  3. 100 meter 100 मीटर

  4. 150 meter 150 मीटर

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

Speed = 36 km/hr = 10 m/s. Distance covered in 30 seconds = 10 × 30 = 300 m. This distance equals train length + platform length. So platform length = 300 - 150 = 150 m. The train must completely clear the platform, so the distance is sum of both lengths.

Multiple choice

A train 200 metre long running at 48 km/hr. crosses a tunnel in 45 seconds. Find the length of tunnel. एक ट्रेन 200 मीटर लम्बी जो कि 48 किमी/घंटे की रफ्तार से चल रही है एक सुरंग को 45 सेकेण्ड में पार करती है। सुरंग की लम्बाई ज्ञात कीजिए।

  1. 400 metre 400 मीटर

  2. 300 metre 300 मीटर

  3. 250 metre 250 मीटर

  4. 450 metre 450 मीटर

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Train speed = 48 km/h = 48×(5/18) = 40/3 m/s. In 45 seconds, distance = (40/3)×45 = 600 m. This equals train length + tunnel length, so tunnel = 600-200=400 m. Option B (300 m) incorrectly uses 30 seconds or wrong speed conversion.

Multiple choice

A train is 216 m long. It crosses a platform in 19 seconds with speed 21 m/s. If some 21 m, long boxes are added in train then it crosses the same platform in 27 seconds at the same speed. Then find the number of boxes that were added in the train. एक ट्रेन 216 मीटर लंबी है । यह 19 सेकंड में 21 मी/से गति के साथ एक प्लेटफॉर्म को पार करती है। यदि ट्रेन में कुछ 21 मीटर लम्बे बक्से जोड़े जाते हैं तो यह उसी गति से 27 सेकंड में समान प्लेटफार्म को पार करती है। तो बक्सों की संख्या ज्ञात कीजिये जोकि रेलगाड़ी में जोड़े गए थे।

  1. 2

  2. 6

  3. 12

  4. 8

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

Let platform length = p meters. Original train length = 216 m. Speed = 21 m/s. Time = 19 seconds. Total distance = 216 + p = 21 × 19 = 399. So platform p = 399 - 216 = 183 m. After adding n boxes of 21m each: new length = 216 + 21n. New time = 27 seconds. Total distance = 216 + 21n + 183 = 399 + 21n. Time = (399 + 21n)/21 = 27. So 399 + 21n = 567, giving 21n = 168 or n = 8.

Multiple choice

A train 150 m long, passes a 150 m. long platform in 30 seconds and another train of the same length travelling in the opposite direction in 12 sec. The speed of the second train is

  1. 45 km./hr

  2. 48 km./hr

  3. 52 km./hr

  4. 54 km./hr
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Train 1 crosses 150m platform in 30 sec: (150+150)/30 = 10 m/s = 36 km/hr. Let train 2 speed = v km/hr = (5v/18) m/s. Relative speed when crossing: (10 + 5v/18) m/s. Time = 12 sec for (150+150) = 300m. So 300/12 = 10 + 5v/18. 25 = 10 + 5v/18. 15 = 5v/18. v = 54 km/hr. Answer D is correct.

Multiple choice

The numericle value of the speed of a train in km/hr is double of the time taken by it to cross a platform while it crosses a platform in 30 seconds. If the length of the train be 200 metres, then the length ( in metres) of the platform is

  1. 400

  2. 300

  3. 200

  4. 500
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given speed (numerical value) = 2 × time (seconds). Let speed = v km/hr and time = 30 seconds. Since v = 2 × 30, we get v = 60 km/hr = 60 × (5/18) = 50/3 m/s. Distance in 30 seconds = (50/3) × 30 = 500 m. This distance = train length + platform length = 200 + platform. So platform = 500 - 200 = 300 m.

Multiple choice

A train, with a uniform speed, crosses a platform, 162 meters long, in 18 seconds and another platform, 120 meters long, in 15 seconds. The speed of the train is

  1. 14 km/hr

  2. 42 km/hr

  3. 50.4 km/hr

  4. 67.2 km/hr
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let train length = L meters, speed = S m/s. Crossing 162m platform: L + 162 = 18S. Crossing 120m platform: L + 120 = 15S. Subtracting: 42 = 3S, so S = 14 m/s. Converting to km/hr: 14 × 3.6 = 50.4 km/hr. Option B (42 km/hr) ≈ 11.7 m/s, and option D (67.2 km/hr) ≈ 18.7 m/s, neither satisfies both equations.

Multiple choice

A boy standing on a railway platform observes that a train going in one direction takes 7 seconds to pass him. Another train of same length going in the opposite direction as compare to the previous train takes 9 seconds to pass him. Find the time taken (in seconds) by trains to cross each other.
  1. $\frac{69}{8}$
  2. $\frac{63}{8}$
  3. $\frac{67}{8}$
  4. $\frac{65}{8}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let train length = L and speeds = v1, v2. L/v1 = 7, L/v2 = 9. When crossing: 2L/(v1+v2) = 2/(1/7+1/9) = 2/(16/63) = 63/8 seconds.

Multiple choice

A train of length 287 m, running at 80 km/h, crosses another train moving in the opposite direction at 37 km/h in 18 seconds. What is the length of the other train?

  1. 298 m

  2. 248 m

  3. 398 m

  4. 289 m
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When trains cross in opposite directions, their relative speed is the sum of individual speeds (80 + 37 = 117 km/h = 117 × 5/18 = 32.5 m/s). Distance covered in 18 seconds = 32.5 × 18 = 585 m. Total distance = sum of both train lengths, so other train's length = 585 - 287 = 298 m. This matches option A.