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:

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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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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Q:

A train left 1 hour later than the scheduled time but in order to reach its destination 200 km away in time, it had to increase its usual speed by 10 km/hr. What is the usual speed (in km/hr) of the train?

A) 38 B) 42
C) 45 D) 40
 
Answer & Explanation Answer: D) 40

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Q:

A train 110 metres long is running with a speed of 60 kmph . In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?

A) 5 sec B) 6 sec
C) 7 sec D) 10 sec
 
Answer & Explanation Answer: B) 6 sec

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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 crosses a 550 m long platform in 36 seconds. How long was the train if it was travelling at the speed of 70 kmph?

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

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Q:

4 hrs after a goods train passed a station, another train travelling at a speed of 60 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) 40 km/hr B) 48 km/hr
C) 60 km/hr D) 32 km/hr
 
Answer & Explanation Answer: A) 40 km/hr

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Q:

A train is moving with uniform speed crosses two tunnels of lengths 270 metres and 450 metres in 12 seconds and 15 seconds respectively. What is the speed (in km/hr) of the train?

 

A) 144 B) 169
C) 196 D) 216
 
Answer & Explanation Answer: D) 216

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