Problems on Trains - Aptitude Questions and Answers part -1

Problems on Trains - Aptitude Questions and Answers part -1

This is aptitude questions and answers section on "Problems on Trains" with explanation for various interview, competitive examinations and entrance tests. Candidates can practice the Problems on Trains Quiz, Problems on Trains MCQ, Problems on Trains Aptitude Questions, Problems on Trains Multiple Choice Questions and Answers from the below section.

Problems on Trains Questions - Problems on Trains Quiz Details

Test Name: 

Problems on Trains

Exam Type: 

Multiple Choice Questions

Category :

Aptitude Quiz

Number of Questions : 77

Problems on Trains Formulae:

1. km/hr to m/s conversion

a km/hr = (a x5/18) m/s

2. m/s to km/hr conversion

a m/s = (a x18/5) km/hr


1. The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

A. 200 m

B. 225 m

C. 245 m

D. 250 m

Answer & Explanation

Answer: Option C

Explanation:

Speed = [45 X 5/18] m/sec 

= [25/2] m/sec Time 

= 30 sec Let the length of 

bridge be x metres. 

Then, (130 + x)/30 = 25/2

 => 2(130 + x) = 750 => x = 245 m.


2. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A. 120 metres

B. 180 metres

C. 324 metres

D. 150 metres

Answer & Explanation

Answer: Option D

Explanation:

Speed=(60 * 5/18) m/sec

 = (50/3) m/sec Length of the train

 = (Speed x Time) 

= (50/3 * 9) m = 150 m.


3. A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

A. 45 km/hr

B. 50 km/hr

C. 54 km/hr

D. 55 km/hr

Answer & Explanation

Answer: Option B

Explanation:

Speed of the train 

relative to man = (125/10) m/sec 

= (25/2) m/sec. 

[(25/2) * (18/5)] km/hr 

= 45 km/hr. Let the speed of the train be x km/hr. 

Then, relative speed 

= (x - 5) km/hr. x - 5 

= 45 ==> x = 50 km/hr.


4. The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:

A. 200 m

B. 225 m

C. 245 m

D. 250 m

Answer & Explanation

Answer: Option C

Explanation:

Speed = (45 * 5/18) m/sec 

= (25/2) m/sec. Time = 30 sec. 

Let the length of bridge be x meters.

 Then, (130 + X)/30 

= 25/2 ==> 2(130 + X)

 = 750 ==>X = 245 m.


5. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A. 1 : 3

B. 3 : 2

C. 3 : 4

D. None of these

Answer & Explanation

Answer: Option B


Explanation:


Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.














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