## Problems on Trains Aptitude Questions and Answers

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Takshila Learning regularly offers you different blogs and articles on important topics, news, and information related to banking exams. In this article, the following topic ’Problem on Trains’ from Quantitative section has been explained.

__Problems on trains__

__Problems on trains__

Problems on trains are similar to ‘Time and Distance’ problems. The only difference here is that we have to consider the length of the train as distance while solving problems on trains.

__Some important points:__

- To convert ‘x’ Km/hr into m/s

– Multiply x with 5/18

- To convert ‘y’ m/s into Km/hr

– Multiply y with 18/5

- Distance covered by a train of length L meters while passing a stationary pole is equal to the length of the train.
- Distance covered by a train of length L meters while passing a stationary object of length P meters is equal to the Length of the train & length of the stationary object (L + P) meters.
- If two trains are moving in the opposite direction to each other and their speeds are x km/h and y km/h then their relative speed is equal to (x + y) km/h.
- If two trains are moving in the same direction to each other and their speeds are x km/h and y km/h (x > y) then their relative speed is equal to (x –y) km/h.

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**Let us look at some problems : **__Problems on trains__

__Problems on trains__

**Ex:** A train of length 180 meters is moving with the speed of 54 km/hr. Find out the time taken by it to cross a stationary pole?

- 12 s b. 10 s c. 16 s d. 20 s e. None of these

Sol: Sol: = 180/(54*5/18) = **20 sec**

**Ans: (d)**

**Ex:** A train of length 240 m speed is moving with the speed of 36 Km/hr. Find out the time taken by it to cross a platform of length 160 m?

- 40 s b. 35 s c. 38 s d. 42 s e. None of these

Sol: [240+160]/ (36*5/18) = **40 sec**

**Ans: (a)**

**Ex:** Two trains of length 360 and 140 meters are moving in the same direction with the speed of 54 m/s and 44 m/s. How much time taken will the faster train take to overcome the slower train?

- 50 s b. 52 s c. 48 s d. 18 s e. None of these

Sol: = (360+140)/ (54-44) = **50 sec**

**Ans: (a)**

**Ex:** A train passes a stationary man standing on the platform in 7 seconds and passes the platform completely in 28 seconds. If the length of the platform is 330 meters, then find what is the length of the train?

- 100m b. 110m c. 130m d. 170m e. None of these

Sol: Let the length of the train be x mtrs.

As speed of the train will be equal in both the cases:

So, x / 7 = (x + 330) / 28

Hence, **x= 110 mtrs**

**Ans: (b)**

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