Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 3)
3.
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
200 m
225 m
245 m
250 m
Answer: Option
Explanation:

Speed = 45 x 5 m/sec = 25 m/sec.
18 2

Time = 30 sec.

Let the length of bridge be x metres.

Then, 130 + x = 25
30 2

2(130 + x) = 750

x = 245 m.

Video Explanation: https://youtu.be/M_d8WufJWKc

Discussion:
249 comments Page 17 of 25.

K.vaishnavi said:   1 decade ago
Yes the simple method is:

Solution: Let length of the train = 130 m.

T = 30 s.

S = 45 km/hr.

= 45(5/18) m/s.
=12.5 m/s.

Distance = 12.5.

= 12.5*30 = 375.

Therefore the length of the bridge = 375-130 = 245 m.

Swamy said:   1 decade ago
Well,

36 sec --- 450 mt.

30 sec --- 375 mt.

Then, 375-135 = 275 mt.

Sharmin said:   1 decade ago
30 = 130+x/45*3.6 = 245.

Sonu said:   1 decade ago
Hi,

Could you please advise why we added x to the distance covered?

Reethu said:   1 decade ago
Hi,

Can anyone explain what is 5/18 here? I couldn't get this.

Amar said:   1 decade ago
Train length bridge length train length.

Logically we should add train twice the train length, since crossing the bridge means train is not yet on the bridge and then it should be rolled off from bridge?

i.e , (x+2*130)/30 = 55 km/hr.

What say?

Shekar v said:   1 decade ago
45000 meters/3600 seconds = 12.5.

12.5*30 sec = 375.

375-130 = 245.

Manmohan said:   10 years ago
For a quick solution:

Let the length of the bridge be x.

Speed = 45*5/18 = 75/6 m/sec.

Time = 30 sec.

Length of train 130 m.

So we know Speed = Total distance/Time.

=> Total distance = Speed*Time.

=> x+130 = 75/6*30.

=> x= 245.

Hence the length of the bridge is 245 m.

Sai kumar said:   10 years ago
Formula given in important formulas section as:

Time taken by a train of length l metres to pass a stationery object of length b metres is the time taken by the train to cover (l+b) metres.

In the problem given train length l = 130 m.

Since bridge can be considered as a stationary object of length b.

Time for train to cross bridge is 30 s.

So by the given formula time to cross the bridge (stationary object of length b) = l+b.

30 = l+b.

=> 30 = 130+b.

b = 100.

Any body please help me why this is wrong?

Anjaneyulu said:   10 years ago
Hi,

Can anyone explain what is 5/18 here? I couldn't get this.


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