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 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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Q:

A train travelling at the speed of 66 kmph crosses a 300 m long platform in 24 seconds. How long was the train?

A) 140 m B) 240 m
C) 160 m D) 180 m
 
Answer & Explanation Answer: B) 240 m

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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 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:

Two trains are running in opposite directions with the same speed. If the length of each train is 486 metres and they cross each other in 27 seconds, then what is the speed (in km/hr) of each train?

A) 55 B) 56.4
C) 64.8 D) 73.2
 
Answer & Explanation Answer: C) 64.8

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Q:

To travel 648 km, an Express train takes 12 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 6 hours less than Rajdhani. The speed of Rajdhani is _____.

A) 36 km/hr B) 18 km/hr
C) 45 km/hr D) 27 km/hr
 
Answer & Explanation Answer: D) 27 km/hr

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Q:

4 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

A) 48 km/hr B) 57.6 km/hr
C) 72 km/hr D) 38.4 km/hr
 
Answer & Explanation Answer: A) 48 km/hr

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Q:

Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?

A) 235 B) 338.4
C) 470 D) 940
 
Answer & Explanation Answer: A) 235

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