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:

Two trains are moving in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then what is the speed (in km/hr) of each train?

A) 36 B) 45
C) 80 D) 60
 
Answer & Explanation Answer: A) 36

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Q:

A train starts moving from a place X at 7:00 a.m. and arrives at another place Y at 1:00 p.m. on the same day. If the speed of the train is 15 m/s, then what will be the distance (in km) covered by the train?

A) 324 B) 375
C) 390 D) 245
 
Answer & Explanation Answer: A) 324

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Q:

A 220 metres long train takes 33 seconds to cross a 440 metres long bridge. How much time (in seconds) will the train take to cross a 350 metres long bridge?

 

A) 28.5 B) 17.5
C) 23.5 D) 27.5
 
Answer & Explanation Answer: A) 28.5

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Q:

A 150 m long train, travelling at 54 km/h, crosses a platform in 42 seconds. What is the length of the platform?

A) 540 m B) 630 m
C) 480 m D) 780 m
 
Answer & Explanation Answer: C) 480 m

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Q:

A train, starting from rest, attains a velocity of 90 kmph in 5 minutes. Assuming that the acceration is uniform, the distance travelled by the train during this time is

A) 1.5 km B) 2.25 km
C) 3.75 km D) 3.25 km
 
Answer & Explanation Answer: C) 3.75 km

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Q:

From point P, at 6 : 30 pm, a train starts moving towards Q with the speed of 40 km/hr. Another train starts moving from point Q at 7:30 p.m. towards point P at the speed of 60 km/hr. Both of them meet at 11:30 p.m. at point R. What is the ratio of PR and QR?

A) 3 : 4 B) 5 : 6
C) 4 : 5 D) 5 : 4
 
Answer & Explanation Answer: B) 5 : 6

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Q:

A 600 metres long train is running at the speed of 81 km/hr. If it crosses a platform in 40 seconds, then what is the length of the platform (in metres)?

 

A) 220 B) 300
C) 360 D) 410
 
Answer & Explanation Answer: B) 300

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