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:

A man covered a certain distance by a train at the speed of 40 km/hr and covers the same distance back by walking at the speed of 8 km/hr. Ifthe whole journey took 12 hours, then what is the one side distance (in km)?

A) 80 B) 60
C) 90 D) 100
 
Answer & Explanation Answer: A) 80

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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:

A train 100 m long is running at a speed of 120 kms/hr. The time taken to pass a person standing near the line is

A) 1 second B) 3 seconds
C) 5 seconds D) 7 seconds
 
Answer & Explanation Answer: B) 3 seconds

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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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