Problems on Trains Questions

FACTS  AND  FORMULAE  FOR  PROBLEMS  ON  TRAINS

 

 

1. a km/hr = [a x (5/18)] m/s.

 

2. a m/s = [a x (18/5)] km/hr.

 

3. Time taken by a train of length l metres to pass a pole or a standing man or a signal post is equal to the time taken by the train to cover l metres.

 

4. Time taken by a train of length 1 metres to pass a stationary object of length b metres is the time taken by the train to cover (1 + b) metres.

 

5. Suppose two trains or two bodies are moving in the same direction at u m/s and v m/s, where u > v, then their relatives speed = (u - v) m/s.

 

6. Suppose two trains or two bodies are moving in opposite directions at u m/s and v m/s, then their relative speed = (u + v) m/s.

 

7. If two trains of length a metres and b metres are moving in opposite directions at u m/s and v m/s, then time taken by the trains to cross each other = (a+b)(u+v)sec.

 

8. If two trains of length a metres and b metres are moving in the same direction at u m/s and v m/s, then the time taken by the faster train to cross the slower train = a+bu-vsec.

 

9. If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then (A's speed) : (B’s speed) = b:a

Q:

Two trains start moving from stations S and R. Both trains move towards each other at speeds of 35 km/hr and 42 km/hr respectively. When they meet each other, the second train has travelled 90 km more than the first. What is the distance (in km) between S and R?

 

A) 450 B) 990
C) 540 D) 1040
 
Answer & Explanation Answer: B) 990

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Q:

A train starts moving from a place X at 7:00 a.m. and arrives at another place Y at 1:00 p.m. on the same day. If the speed of the train is 15 m/s, then what will be the distance (in km) covered by the train?

A) 324 B) 375
C) 390 D) 245
 
Answer & Explanation Answer: A) 324

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Q:

Two trains are moving in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then what is the speed (in km/hr) of each train?

A) 36 B) 45
C) 80 D) 60
 
Answer & Explanation Answer: A) 36

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Q:

A train is moving with uniform speed crosses two tunnels of lengths 270 metres and 450 metres in 12 seconds and 15 seconds respectively. What is the speed (in km/hr) of the train?

 

A) 144 B) 169
C) 196 D) 216
 
Answer & Explanation Answer: D) 216

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Q:

A man misses a train by 1 hour if he travels at a speed of 4 kmph. If he had increased his speed to 5 kmph, he would gave still missed the train by 24 minutes. At what speed should he have travelled so that he reached the station exactly on time?

A) 12 kmph B) 6 kmph
C) 10 kmph D) 8 kmph
 
Answer & Explanation Answer: B) 6 kmph

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Q:

Two trains are moving in the same direction at the speed of 23 km/hr and 77 km/hr. The time taken by faster train to cross a man sitting in the slower train is 40 seconds. What will be the length (in metres) of the faster train?

 

 

A) 720   B) 640  
C) 600   D) 540
 
Answer & Explanation Answer: C) 600  

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Q:

A train moves at a speed of 35 m/sec and crosses a tunnel of length 960 metres, in 40 seconds. What is the length (in metres) of the train?

 

A) 360 B) 440
C) 530 D) 560
 
Answer & Explanation Answer: B) 440

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Q:

A train is moving at the speed of 36 km/hr. How many seconds it will take to cover a distance of 600 meters?

A) 60 B) 120
C) 30 D) 40
 
Answer & Explanation Answer: A) 60

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