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 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:

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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1 818
Q:

From point P, at 6 : 30 pm, a train starts moving towards Q with the speed of 40 km/hr. Another train starts moving from point Q at 7:30 p.m. towards point P at the speed of 60 km/hr. Both of them meet at 11:30 p.m. at point R. What is the ratio of PR and QR?

A) 3 : 4 B) 5 : 6
C) 4 : 5 D) 5 : 4
 
Answer & Explanation Answer: B) 5 : 6

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0 815
Q:

The distance between two cities X and Y is 270 km. First train starts from X at 7:00 a.m. and travels towards Y at 40 km/hr. Second train starts from Y at 8:30 a.m. and travels towards X at 30 km/hr. At what time (in a.m.) will both the trains meet?

 

A) 10:00   B)  11:00  
C)  11:30   D)  12:30
 
Answer & Explanation Answer: C)  11:30  

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4 811
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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3 804
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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1 803
Q:

Two trains are moving in the same direction at the speed of 35 km/hr and 71km/hr. The time taken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?

 

 

A) 540 B) 420
C) 480 D) 660
 
Answer & Explanation Answer: C) 480

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Q:

What is the time taken by a 180 m long train running at 54 kmph to cross a man standing on a platform?

A) 10 sec B) 12 sec
C) 11 sec D) 13 sec
 
Answer & Explanation Answer: B) 12 sec

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