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 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:

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 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 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:

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:

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:

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:

9 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 3 hours. What is the speed of the goods train?

A) 21.6 km/hr B) 27 km/hr
C) 18 km/hr D) 14.4 km/hr
 
Answer & Explanation Answer: C) 18 km/hr

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