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 4 of 25.

Sanilam Guha said:   5 years ago
(0.130+x) = (45 * 30)/3600.
If assume x is bridge length;
OR, 0.130 + x = 0.375.
OR, X = 0.375 - 0.130.
OR, X = 0.245 KM OR 245 M.

Am I right?
(2)

Arup Kumar subudhi said:   5 years ago
Train Speed is 45 km/sec = (45*5)/18 = 25/2 m/s.
= (25*15)/(2*15) m/s,
= 375/30 m/s.

375 m in 30 sec, so bridge length is = 375 - 130 = 245m.
(2)

Nusrat fathima said:   2 decades ago
I have solved this problem in a different way, is this right way to solve?
speed=25/2 m/sec
length of the bridge be x m
total distance = speed * time
x + 130 = 30 * 25/2
x + 130 = 375
x = 245 m
is the above method to solve this problem right?

Please help.
(1)

Coolburn said:   2 decades ago
Hi, I had my own solustion on that

45 km/hr

1km = 1000m
1hr = 3600 sec

45 km/hr convert to metter

=45000 m
=3600 sec.

45000/3600
=12.5

Since 30 sec can cross the bridge

=12.5*30

=375-130

=245m
(1)

Jagabandhu patra said:   1 decade ago
(45000/3600*30)-130 = 245.
(1)

Vishali said:   1 decade ago
Hi friends I did in a different way:

Let the length of train b = 130.
Let the length of bridge b = x.

Therefore distance = x+130.
Time = 30 sec.

S = 45 km/h = 45*5/18 = 25/2 m/s.

So, in this case distance = 375 m.

So, d = x+130 substituting the value of d (distance).

We get 375-130 = x.

x = 245m.
(1)

Sohail Khan said:   1 decade ago
We know that:

Time = Distance/Speed.

Suppose length of the bridge is X mtr.
Length of the train is 130 mtr.

So total distance = 130+X.
30 = (130+X)/45*(5/18).

Then the value of X is 245 mtr.
(1)

Ramkumar gadi said:   1 decade ago
Time taken by the train to cross object which is in motion in relative motion we have formulas:

T = (a+b)/(U+V) and T = (a+b)/(U-V).

Let be b = x.

So here we have U = Speed of train; a = Length of train = 130m.

V = Speed of object; B = Length of object.

V = 0; b = x; T = 30s.

S = 45 km/h = 45*5/18 = 25/2 m/s.

30 = (130+x)/(25/2+0).

= 30+25/2 = 130+x.

x = 245m.
(1)

Sivakumar.s said:   1 decade ago
Train 130 meters long. Travel 45 km/hr.

To convert m/s = 25/2.

So 2 second train will move 25 meter. So 30 second means.

2*15 = 30 second.

25*15 = 375.

So train travelling 375 meters to reduce the train meters.

375-130 = 245.

So the bridge meter is 245 meters.
(1)

ARYAN said:   7 years ago
Length of the train = 130m.
speed =45km/h so, 45/3.6=12.5.
12.5*time=12.5*30=375m.
length of the bridge = [375-130] = 245m ANS.
(1)


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