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 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 145 m long train crosses a 655 m long bridge in 36 seconds. What is the speed of the train?

A) 70 kmph B) 80 kmph
C) 60 kmph D) 75 kmph
 
Answer & Explanation Answer: B) 80 kmph

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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:

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:

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 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 superfast Duronto express running at 90 kmph overtakes a bike running at 36 kmph in 25 seconds. What is the length of the train in meters?

A) 375 m B) 225 m
C) 275 m D) 325 m
 
Answer & Explanation Answer: A) 375 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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