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:
247 comments Page 7 of 25.

Sandeep said:   9 years ago
It is easy,

Train length = 130mtr,
Speed = 45km/hr,
Time = 30sec.

First:-

Converting the speed:- 45*5/18 = 12.5,

Then, total distance = speed * time.
= 12.5 * 30 = 375.

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

Ruby said:   1 decade ago
Hey frnd........i sol dis prob in diff way..
length of train=130m
speed=45km/hr
time=30sec
l=s*t
l=(45*5/18)*30
l=(25/2)*30
l=375
length of bridge=l-length of train
x=375-130
x=245m...........
is dis is rite method????????

Sara said:   1 decade ago
Total distance of bridge is 45Km/hr*(30/360)hrs =45/12Kms

Distance in metres = (45/12)*100 =375 Metres

Distance covered = 375M -130M =245M

I believe this is the quickest way given the time allocated in such assessments.

Sathiyaraj said:   9 years ago
45 km/hr => 45, 000 mts = 3600 sec=>36 s = 450 mts.

Let x be the bridge length.

In 30 sec, trains crosses, 130m + x = 30 sec,

=> (36/6) *5 sec = (450/6) *5 mts,

So, 30 sec = 375 mts,

So, x = 375-130 => x = 245 mts.

Dinesh said:   1 decade ago
As the train crosses, which means the train should start at the starting of bridge and completely leave the bridge.

So, (130+x+130) should be the distance traveled in 30 secs.

= (130+x+130)/30 = (45*5/18).

x = 115.

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.

Subramanyam subbu said:   1 decade ago
distance=speed*time
assume length of bridge as x meters
here distance=(length of bridge+length of train)
x+130=45*(5/18)
[ 5/18 indictes conversion of km/hr to m/sec)
we get x= 245 m i.e length of the bridge

Srikant kumar said:   1 decade ago
Best Answer could be for new person:

3600 sec me 45000 meter.

1 sec me 45000/3600 12.5 meter/sec.

30 sec me 12.5*30 = 375 meter.

Train length is 130 meter .

Bridge length will be :-375-130 = 245 meter.

Mir said:   1 decade ago
Total distance to be covered to cross the bridge = Bridge Length+Train Length.

Speed = Distance/Time.
45*5/18 = X+130/30.
X: Length of Bridge.
130: Length of Train.
30: Time Taken to cross the bridge.
X = 245.

AVINASH said:   1 decade ago
Length of the train = 130.
Speed of the train = 45km/hr.
Time = 30sec.

Length of bridge = x+length of train.
x+length of train = Speed of the train *time.

x+130 = 45*5/18*30.
x+130 = 375.
x = 375-130.
x = 245.


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