## Problem on Finding Length of Train or Platform

Shortcut tricks on length

Before starting anything just do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Do first ten maths using basic formula of this math topic. You also need to keep track of the time. After finish write down total time taken by you to solve those ten maths. Now go through our page for length of train or platform shortcut trick. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of timing. This time you will surely see improvement in your timing. But this is not enough. You need to practice more to improve your timing more.

### Few Things to Remember

You all know that math portion is very much important in competitive exams. That doesn’t mean that other sections are not so important. But if you need a good score in exam then you have to score good in maths. Only practice and practice can give you a good score. All you need to do is to do math problems correctly within time, and only shortcut tricks can give you that success. But it doesn’t mean that without using shortcut tricks you can’t do any math problems. You may do math problems within time without using any shortcut tricks. You may have that potential. But so many people can’t do this. So Length of train or platform shortcut tricks here for those people. We always try to put all shortcut methods of the given topic. But we may miss few of them. If you know anything else rather than this please do share with us. Your little help will help so many needy.

Problem on finding length of Train or Platform

The problem on trains are important chapter for easily get the marks in competitive exam papers. you just remember the way of train cross the object and speed, time and distance. There are train based problem based on two object, First is Train and second object is that which is crossed by the train.

Example #1

A 120 meter long train passes a bridge in 18 sec, moving with a speed of 108 km/hr. What would be the length of the bridge?

- 340 Meters
- 370 Meters
- 400 Meters
- 420 Meters

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (D)

**How to Solve**

Speed = 108 x 5 / 18

Speed = 30 m/sec.

Let, the length of the bridge is X.

Speed = Distance / Time

30 = 120 + X / 18

120 + X = 540

X = 540 – 120

X = 420

**Rough Workspace**

Example #2

A mail train of 240 meters long, traveling at a uniform speed and crosses a bridge in 80 second and a boy standing on the bridge in 40 seconds. What is the length of bridge?

- 222 Meters
- 240 Meters
- 268 Meters
- 292 Meters

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

240 / 40 = 6 m/sec.

6 = X + 240 / 80

X = 480 – 240

X = 240 meters.

**Rough Workspace**

Example #3

A metro rail is running at the speed of 90 km/hr. If crosses a platform whose length is twice that of the train in 36 seconds. What is the length of platform in meter?

- 400 Meter
- 500 Meter
- 600 Meter
- 700 Meter

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (C)

**How to Solve**

Speed = 90 x 5 / 18

Speed = 25 m/sec.

25 = X + 2X / 36

X = 300 meter.

So, length of platform is,

300 x 2

= 600 meter.

**Rough Workspace**

Example #4

An express train passes a tunnel in 21 seconds. The length of the train is 130 meter and moving at the speed of 90 km/hr. What is the length of the tunnel?

- 378 Meters
- 395 Meters
- 423 Meters
- 461 Meters

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (B)

**How to Solve**

Let, the length be the tunnel is X meters.

Now, converting km/hr to m/sec,

90 x 5 / 18

= 25 m/sec.

25 = 130 + X / 21

130 + X = 25 x 21

X = 525 – 130

X = 395.

So, the length of the tunnel is 395 meters.

**Rough Workspace**

Example #5

An express train is running at the speed of 90 km/hr. It crosses a bridge, whose length is twice that of the train, in 36 seconds. What is the length of bridge in meter?

- 460 Meter
- 495 Meter
- 540 Meter
- 600 Meter

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (D)

**How to Solve**

Converting the speed 90 km/hr into m/sec,

90 x 5 / 18

= 25 m/sec.

Let, the length of the train is X.

So, the length of the bridge is 2x.

Now,

25 = X + 2X / 36

X = 300 meter.

So, the length of the platform is,

300 x 2

= 600 meter.

**Rough Workspace**

Example #6

An express train passes by a boy standing on the platform in 9 seconds and passes by the platform completely in 27 seconds. If the length of the platform is 350 meters, then what is the length of the train?

- 175 Meters
- 199 Meters
- 210 Meters
- 221 Meters

Show Answer Show How to Solve Show Shortcut Tricks Open Rough Workspace

**Answer:**Option (A)

**How to Solve**

Let, the length of the train be X meters.

Then, speed of the train = X / 9 m/sec.

And, also the speed of the train is,

= X + 350 / 27 m/sec.

Both the speed should be equal, i e,

X / 9 = X + 350 / 27.

27X – 9X = 9 x 350

X = 9 x 350 / 18

X = 175 meters.

**Shortcut Tricks**

Length of train = Length of platform / Difference in time x Time taken to cross the man.

Length of train = 350 x 9 / 18

Length of train = 175 meters.

**Rough Workspace**

Example #7

A local train crosses a bridge in 30 seconds. If the length of the local train is 300 meter, then what is the length of the bridge?

- 300 Meters
- 378 Meters
- 401 Meters
- Can’t Determined

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (D)

**How to Solve**

To find length of the bridge, we need the speed of local train. Which has not given here. So, we can’t determined the length of the bridge.

**Rough Workspace**

Example #8

A bike travel a distance in 13 hours. The 1st half of it at 24 km/hr and the 2nd half at 28 km/hr. Find the distance of his total journey.

- 281 Kilometers
- 305 Kilometers
- 336 Kilometers
- 353 Kilometers

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Option (C)

**How to Solve**

Let, the total distance is X.

( X / 2 / 24 ) + ( X / 2 / 24) = X / 48 + X / 56

7X + 6X / 336 = 13

13X / 336 = 13

X = 4368 / 13

X = 336 Kilometers.

**Rough Workspace**

### Few examples of Problems on Trains with Shortcut Tricks

- Problem on time taken by train
- Problem on speed of train
- Problem on running same direction
- Problem on running opposite direction
- << Go back to Problem on Trains main page

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If You Have any question regarding this topic then please do comment on below section. You can also send us message on facebook.

need more questions

Need more problems

?????

Thank you sir….Easy to understand…But i need some complicated problems..

দুটি ট্রেন যথাক্রমে 12km/h ও 6km/h গতিবেগে আসে। যদি প্রথম ট্রেনটি দ্বিতীয় ট্রেনের একজন যাত্রীকে 10 secconds এ অতিক্রম করে , তবে প্রথম ট্রেনের length (দৈর্ঘ্র্য) কত?

Hello dear, the example no. 2 is n’t correct i think, because 240 will substract from 480 and result will be 240.

thankyou sir….plz provide more questions…

A train passes a station platform in 30 sec and a man standing on a platform in 20 sec if the speed of train is 54km/hr what is the length of the platform

A.120

B.100

C.200

D.256

I need a answe

if suppose train run mumbai to pune per hour 60km speed and its cross bor ghat 1.5 km in 2 min then what is the length of the train

Let’s assume the length of the train is X.

So, in 2 minutes the train covers 1.5km + length of the train.

therefore, 2 = 1.5 + X

And, in 60 minutes the train runs 60km.

So, in 2 minutes the train covers 2km.

Now, we see that, in 2 minutes the train runs 2 kilometers and in 2 minutes it cross 1.5 + X kilometers.

By evaluating these two values, we can say that,

2km = 1.5km + X

or, X = 2km – 1.5km

or, X = .5km / 500 meters

So, the length of the train is 500 meters.