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:

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 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:

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 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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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 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 leaves Kazipet at 5 a.m. and reaches Bangalore at 3 p.m. Another train leaves Bangalore at 7 a.m. and reaches Kazipet at 5 p.m. When do the two trains meet? Assume that the trains travels at equal uniform speeds.

A) 1 p.m. B) 12 noon
C) 11 a.m. D) 10 a.m.
 
Answer & Explanation Answer: C) 11 a.m.

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