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 the opposite direction at speed of 30 km/hr and 45 km/hr respectively, whose lengths are 450 m and 550 m respectively. What is the time taken (in seconds) by slower train to cross the faster train?

A) 48 B) 54
C) 62 D) 72
 
Answer & Explanation Answer: A) 48

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Q:

A passenger train running at the speed of 80 kms/hr leaves the railway station 6 hours after a goods train leaves and overtakes it in 4 hours. What is the speed of the goods train?

A) 32 kms/hr B) 50 kms/hr
C) 45 kms/hr D) 64 kms/hr
 
Answer & Explanation Answer: A) 32 kms/hr

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Q:

To travel 660 km, an Express train takes 10 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 7 hours less than Rajdhani. The speed of Rajdhani is

A) 38.8 km/hr B) 16.2 km/hr
C) 50.1 km/hr D) 27.5 km/hr
 
Answer & Explanation Answer: D) 27.5 km/hr

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Q:

A train travels 40% faster than a car. Both start from point A at the same time and reach point B, 140 km away at the same time. On the way the train takes 25 minutes for stopping at the stations. What is the speed (in km/hr) of the train?

A) 67 B) 134.4
C) 145.9 D) 160
 
Answer & Explanation Answer: B) 134.4

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Q:

In what time will a train, 60 metres long, running at the rate of 36 km/hr pass a telegraph post?

A) 9 seconds B) 8 seconds
C) 7 seconds D) 6 seconds
 
Answer & Explanation Answer: D) 6 seconds

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Q:

A moving train passes a platform 50m long in 14 seconds and a lamp post in 10 seconds. The speed of the train (in km/h) is :

A) 24 B) 36
C) 40 D) 45
 
Answer & Explanation Answer: D) 45

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Q:

To travel 672 km, an Express train takes 14 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 8 hours less than Rajdhani. The speed of Rajdhani is

A) 30.5 km/hr B) 14.3 km/hr
C) 38.7 km/hr D) 22.4 km/hr
 
Answer & Explanation Answer: D) 22.4 km/hr

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Q:

A train is running at a speed of 116 kms/hr. The distance covered by the train in meters in 18 secs is

A) 900m B) 1160m
C) 508m D) 580m
 
Answer & Explanation Answer: D) 580m

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