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:

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 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:

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:

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:

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 leaves Kazipet at 5 a.m. and reaches Bangalore at 3 p.m. Another train leaves Bangalore at 7 a.m. and reaches Kazipet at 5 p.m. When do the two trains meet? Assume that the trains travels at equal uniform speeds.

A) 1 p.m. B) 12 noon
C) 11 a.m. D) 10 a.m.
 
Answer & Explanation Answer: C) 11 a.m.

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Q:

The time taken by a train 160 m long, running at 72 km/hr, in crossing an electric pole is

A) 8 sec B) 9 sec
C) 6 sec D) 4 sec
 
Answer & Explanation Answer: A) 8 sec

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4 839
Q:

In what time will a 100 metre long train running with a speed of 50 km/hr cross a pillar?

A) 7.0 sec B) 72 sec
C) 7.2 sec D) 70 sec
 
Answer & Explanation Answer: C) 7.2 sec

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