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 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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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:

The distance between two cities X and Y is 270 km. First train starts from X at 7:00 a.m. and travels towards Y at 40 km/hr. Second train starts from Y at 8:30 a.m. and travels towards X at 30 km/hr. At what time (in a.m.) will both the trains meet?

 

A) 10:00   B)  11:00  
C)  11:30   D)  12:30
 
Answer & Explanation Answer: C)  11:30  

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3 305
Q:

Two trains are moving in the same direction at the speed of 23 km/hr and 77 km/hr. The time taken by faster train to cross a man sitting in the slower train is 40 seconds. What will be the length (in metres) of the faster train?

 

 

A) 720   B) 640  
C) 600   D) 540
 
Answer & Explanation Answer: C) 600  

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Q:

A man misses a train by 1 hour if he travels at a speed of 4 kmph. If he had increased his speed to 5 kmph, he would gave still missed the train by 24 minutes. At what speed should he have travelled so that he reached the station exactly on time?

A) 12 kmph B) 6 kmph
C) 10 kmph D) 8 kmph
 
Answer & Explanation Answer: B) 6 kmph

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Q:

Two trains, one 150 m long and the other 130m long, coming from opposite directions crosssed each other in 7.2 seconds. The sum of speed of the two trains every hour would then be

 

A) 280 km B) 105 km
C) 70 km D) 140 km
 
Answer & Explanation Answer: D) 140 km

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2 351
Q:

A train runs at 80 kmph for the first 40 km and the next 30 km at 60 kmph. Find the average speed.

A) 62 kmph B) 64 kmph
C) 65 kmph D) 70 kmph
 
Answer & Explanation Answer: D) 70 kmph

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2 328
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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