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 travelling at the speed of 66 kmph crosses a 300 m long platform in 24 seconds. How long was the train?

A) 140 m B) 240 m
C) 160 m D) 180 m
 
Answer & Explanation Answer: B) 240 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:

Two trains are moving in the same direction at the speed of 42 km/hr and 84 km/hr, their lengths are 320 metres and 380 metres respectively. What is the time taken (in seconds) by faster train to cross the slower train?

A) 60 B) 80
C) 90 D) 120
 
Answer & Explanation Answer: A) 60

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Q:

Two trains are moving in the same direction at the speed of 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?

 

A) 560   B) 490  
C) 520   D) 640
 
Answer & Explanation Answer: C) 520  

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Q:

Two trains are moving in opposite directions with the same speed. If the length of each train is 144 metres and they cross each other in 9 seconds, then what is the speed (in km/hr) of each train?

 

A) 53 B) 57.6
C) 60.4 D) 64.8
 
Answer & Explanation Answer: B) 57.6

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Q:

A train crossed a 140 m long platform in 15 seconds and a 180 m long platform in 17 seconds. The speed of the train was

A) 75 kmph B) 72 kmph
C) 69 kmph D) 66 kmph
 
Answer & Explanation Answer: B) 72 kmph

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Q:

A train is moving at the speed of 36 km/hr. How many seconds it will take to cover a distance of 600 meters?

A) 60 B) 120
C) 30 D) 40
 
Answer & Explanation Answer: A) 60

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Q:

A train starts from a place A at 8:00 a.m. and arrives at another place B at 1:30 p.m. on the same day. If the speed of the train is 30 km/hr, then what will be the distance (in km) covered by the train?

 

A) 165 B) 175
C) 150 D) 135
 
Answer & Explanation Answer: A) 165

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