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 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:

The distance between places U and V is 1008 km. An express train leaves place U at 9:00 a.m. and runs at a speed of 126 km/hr. The train stops on the way for 20 minutes. At what time (in p.m.) the train will reach at the place V?

A) 6 : 50 B) 3:50
C) 4:20 D) 5:20
 
Answer & Explanation Answer: D) 5:20

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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:

5 hrs after a goods train passed a station, another train travelling at a speed of 70 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 9 hours. What is the speed of the goods train?

A) 45 km/hr B) 54 km/hr
C) 67.5 km/hr D) 36 km/hr
 
Answer & Explanation Answer: A) 45 km/hr

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Q:

A train is moving at the speed of 90 km/hr. How many seconds it will take to cover a distance of 2275 meter?

A) 96 B) 91
C) 86 D) 93
 
Answer & Explanation Answer: B) 91

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Q:

The time for a train of length 110 metres running at the speed of 72 km/hr to cross a bridge of length 132 metres is

A) 9.8 sec B) 12.1 sec
C) 12.42 sec D) 14.3 sec
 
Answer & Explanation Answer: B) 12.1 sec

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Q:

A boy in a train notices that he can count 31 telephone posts in 60 seconds. the distance between two posts is 60 meters. Calculate the speed of the train?

 

A) 90 kmph B) 108 kmph
C) 60 kmph D) 120 kmph
 
Answer & Explanation Answer: B) 108 kmph

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