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 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:

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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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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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:

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:

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:

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 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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