Train Aptitude questions with solutions

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Introduction

Welcome to the Nithra Jobs site. Are you in need of learning train aptitude problems? Don't worry. In this article, we have given Train aptitude problems along with solutions for your clear understanding. Train formula sums and practice questions are also given, you can work out those Train problems and get fluency in this topic. To know about the problems on Train formulas, click here..!

1. A train takes 12 sec to pass a signal post and covers a distance of 15 km in 15 min. Find the length of train?

Answer: 200 m

Explanation:

Time = 15 min

= ( 15 / 60 )hr

Formula,

Speed = Distance / Time

= 15 / ( 15 / 60 )

= ( 15 * 60 ) / 15

= 60 km / hr

= 60 * ( 5 / 18 ) m / sec [ x km/hr = x * ( 5 / 18 ) m/sec ]

= 10 * ( 5 / 3 ) m / sec

= ( 50 / 3 ) m / sec

Formula,

Distance = speed * time

Length of the train = ( 50 / 3 ) * 12

= 50 * 4

= 200 m

Length of the train = 200 m

2. A train running at the speed of 66 km / hr crosses a pole in 36 seconds. What is the length of the train?

Answer: 660 m

Explanation:

Given data,

Speed = 66 km / hr

= 66 * ( 5 / 18 ) m / sec [ x km/hr = x * ( 5 / 18 ) m/sec ]

Formula,

Distance = Speed * Time

Length of the train = 66 * ( 5 / 18 ) * 36

= 66 * 5 * 2

= 660 m

Length of the train = 660 m

3. The length of a train and that of a platform are equal. If with a speed of 72 km / hr, the train crosses the platform in one minute, then the length of the platform (in metres) is?

Answer: 600 m

Explanation:

Given data,

Speed = 72 km / hr

= 72 * ( 5 / 18 ) m / sec [ x km/hr = x * ( 5 / 18 ) m/sec ]

Let the length of the train be x and length of a platform be x

Formula,

Distance = Speed * Time

It does so in 1 min = 60 sec.

Length of the train, ( x + x ) = 72 * ( 5 / 18 ) * 60

2x = 4 * 5 * 60

2x = 1200

x = 1200 / 2

x = 600 m

Length of the platform = 600 m

4. A jogger running at 9 kmph alongside a railway track in 300 meter ahead of the engine of a 150 meter long train running at 63 kmph in the same direction. In how much time will the train pass the jogger?

Answer: 30 sec

Explanation:

[If two trains are moving in opposite directions then add their speeds, two trains are moving in same directions then subtract their speeds]

Then, Relative speed = ( 63 - 9 ) km/hr

= 54 km/hr

= 54 * ( 5 / 18 ) m/s ( x km / hr = x * ( 5 / 18 ) m / s )

= 3 * 8

= 15 m/sec

Distance to be covered = 300 + 150

= 450 meter

Time = Distance / Speed

= 450 / 15

= 30 sec

Time will the train pass the jogger = 30 sec

5. Two trains 190 m and 196 m long run at the speed of 60 km/hr and 51 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is?

Answer: 12.52 sec

Explanation:

[If two trains are moving in opposite directions then add their speeds, two trains are moving in same directions then subtract their speeds]

Relative speed = ( 60 + 51 ) km/hr

= 111 km/hr

= 111 * ( 5 / 18 ) m/sec ( x km / hr = x * ( 5 / 18 ) m / s )

= ( 37 * 5 ) / 6

= 185 / 6 m/sec

Distance to be covered in crossing each other = ( 190 + 196 )

= 386 m

Required time = ( 386 * ( 6 / 185 ) )

= 12.52 sec

The time which they taken to cross each other = 12.52 sec

Problems for practice :

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

2. 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:

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

4. 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:

5. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

Conclusion

Time aptitude problems are not only useful for clearing competitive exams. It also helps you to be selected for a company also. Make use of this site for your reference. Regular practice is more important for your success. If you are searching for a job apply on the Nithra Jobs site. This job portal is one of the best job portals, that helps job seekers to find their job in an easy way.