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 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:

A train crosses a 375 m long platform in 27 seconds. How long was the train if it was travelling at the speed of 70 kmph?

A) 525 m B) 140 m
C) 160 m D) 150 m
 
Answer & Explanation Answer: D) 150 m

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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:

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:

A train starts from a place A at 8:00 a.m. and arrives at another place B at 1:30 p.m. on the same day. If the speed of the train is 30 km/hr, then what will be the distance (in km) covered by the train?

 

A) 165 B) 175
C) 150 D) 135
 
Answer & Explanation Answer: A) 165

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Q:

A train of length 100 m crosses another train of length 150 m, running on a parallel track in the opposite direction in 9 seconds. If the speed of trainhaving length 150 m is 40 km/hr, then what is the speed (in km/hr) of the other train?

A) 30 B) 48
C) 50 D) 60
 
Answer & Explanation Answer: D) 60

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Q:

A train is moving at the speed of 72 km/hr. How many seconds will it take to cover a distance of 1400 m ?

A) 70 B) 80
C) 72 D) 84
 
Answer & Explanation Answer: A) 70

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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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