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:
Answer: Option
Explanation:
Speed = | ![]() |
45 x | 5 | ![]() |
= | ![]() |
25 | ![]() |
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 6 of 25.
Kriti said:
1 decade ago
[][][][]```````````````[][][][]
```````````````
Train Bridge Train(and timer
(and timer stops here)
starts here)
<------------------------>
This is distance travelled by train in 30 sec (375m)
<--------------><-------->
Lenght of bridge Lenght of train (130m)
Lenght of bridge = distance travelled in 30 sec - lenght of train
Hence proved. : )
```````````````
Train Bridge Train(and timer
(and timer stops here)
starts here)
<------------------------>
This is distance travelled by train in 30 sec (375m)
<--------------><-------->
Lenght of bridge Lenght of train (130m)
Lenght of bridge = distance travelled in 30 sec - lenght of train
Hence proved. : )
Kriti said:
1 decade ago
@VINU
Exactly that would be the total distance travelled by train in 30 sec
Exactly that would be the total distance travelled by train in 30 sec
BaluRajasekaran said:
1 decade ago
45 km/hr = 12.5 m/s
then the train travel 375 m in 30 seconds
[i.e] 12.5[speed] * 30[total time to reach] = 375[this is the time the train completely out of the bridge]
then the length of bridge is 375 - 130[length of train]= 245
then the train travel 375 m in 30 seconds
[i.e] 12.5[speed] * 30[total time to reach] = 375[this is the time the train completely out of the bridge]
then the length of bridge is 375 - 130[length of train]= 245
Shahul hameed.M said:
1 decade ago
Am telling the easy way to solve this problem......
in basic formula is
L=speed*time
here we wanna 2 find length of the bridge so,
L1+L2=speed *time(L1=length of the train,L2=length of the bridge)v can get d ans easily....
in basic formula is
L=speed*time
here we wanna 2 find length of the bridge so,
L1+L2=speed *time(L1=length of the train,L2=length of the bridge)v can get d ans easily....
Mayu said:
1 decade ago
Yes shahul I like your tact to solve this problem.
Umesh said:
1 decade ago
HI All,
Let's simplify this:
Distance traveled(d) = speed(d) * time(t) taken to travel that distance(d)
Speed is 45km/h.
Since answer needs to be in meter, let's convert Km/h into m/sec.
so, 45*(1000/3600), because 1km=1000mtr and 1hr= 3600sec(60minutes*60 sec per minute).
So, our m/sec speed(s) comes to be 45*(5/18)=25/2mtr per sec.
We have s = 25/2m/sec and t= 30 secs. so d = s*t =375mtr.
Since train itself is 130mtr long it wouldn't travel all 375mtr. So, the distance actually traveled(bridge length)by train is 375mtr- 130mtr = 245mtr.
hope this helps.
Let's simplify this:
Distance traveled(d) = speed(d) * time(t) taken to travel that distance(d)
Speed is 45km/h.
Since answer needs to be in meter, let's convert Km/h into m/sec.
so, 45*(1000/3600), because 1km=1000mtr and 1hr= 3600sec(60minutes*60 sec per minute).
So, our m/sec speed(s) comes to be 45*(5/18)=25/2mtr per sec.
We have s = 25/2m/sec and t= 30 secs. so d = s*t =375mtr.
Since train itself is 130mtr long it wouldn't travel all 375mtr. So, the distance actually traveled(bridge length)by train is 375mtr- 130mtr = 245mtr.
hope this helps.
Sasha said:
1 decade ago
Hi coolburn its nice explanation
TheInternetGuy said:
1 decade ago
Is 45 km/hr relative speed between the bridge and the train?
Arundeep said:
1 decade ago
First of all arragne them in D= ST.
S = D/T or T = D/S.
S = D/T or T = D/S.
Mohan said:
1 decade ago
This problem is very easy to solve
speed(v) of train=45km/hr
length of train(d)=130m
time(t)=30sec
d=v*t
d=(45*5/18)*30
d=(25/2)*30
d=375
length of bridge(x)=d-length of train
x=375-130
x=245m
speed(v) of train=45km/hr
length of train(d)=130m
time(t)=30sec
d=v*t
d=(45*5/18)*30
d=(25/2)*30
d=375
length of bridge(x)=d-length of train
x=375-130
x=245m
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