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:

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 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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Q:

A train of length, 245 metres, takes 20 seconds to cross a 355 metres long bridge. How much time (in seconds) will the train take to cross a 390 metres long platform?

A) 6.5 B) 9
C) 21.16 D) 15
 
Answer & Explanation Answer: C) 21.16

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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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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 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 travelling at 76 kmph crosses a 450 m long platform in 27 seconds. What is the length of the train?

A) 110 m B) 120 m
C) 130 m D) 100 m
 
Answer & Explanation Answer: B) 120 m

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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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