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:

A train travels 20% faster than a car. Both start from point A at the same time and reach point B, 180 km away at the same time. On the way the train takes 30 minutes for stopping at the stations. What is the speed (in km/hr) of the train?

A) 56 B) 66
C) 72 D) 84
 
Answer & Explanation Answer: C) 72

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Q:

A train moves at the speed of 40 m/s and crosses a bridge of length 550 metres in 25 seconds. What is the length (in metres) of the train?

A) 400 B) 450
C) 480 D) 550
 
Answer & Explanation Answer: B) 450

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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 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:

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:

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:

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 train, 200 m long, is running at a speed of 54 km/hr. The time in seconds that will be taken by train to cross a 175 m long bridge is

A) 12.5 B) 20
C) 25 D) 10
 
Answer & Explanation Answer: C) 25

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