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 6 of 25.

Leki said:   7 years ago
Distance= Time * speed.

1km=1000m.
1hr=3600sec.
Time=d/t.

=1000/3600=5/18.
There distance: 5/18*45=25/2.
Length=t/d*s.
130+x=25/2*30.
130+x=375.
X = 375-130 = 245.

Vijaybalajimuthujayam said:   7 years ago
Good explanation, Thanks @Nursat Fathima.

Agnel said:   7 years ago
45*5/18 = 12.5,
12.5*30 = 375,
375-130 = 245.

Ani said:   7 years ago
@Sarang you are correct this is the easiest way to solve this problem.

As
Distance= time * speed.

D=45*5/18=25/2(speed)*30(time),
Actual distance=25 * 15=375.
Then bridge distance=Actual distance (375)- train Distance (130)=245.

Sarang said:   7 years ago
Distance = speed*time,
D= 45* 5/18*30,
D= 5*5/2* 30,
D= 5 * 5 * 15 = 375,
D= 375- 130= 245.

Harichandan Sabat said:   7 years ago
1 km --- 1000 metre & 1 hour --- 3600sec whenever you divide 1km/1 hour then 1000 metre/3600 sec equals to 5/18 m/s.

Ravi said:   7 years ago
How do you take 5/18?

Kuma said:   7 years ago
Speed=Distance/Time.

45*5/18=Distance/30,
375= Distance,
Length= 375-130=245.

Syam said:   7 years ago
Length of the train l1 = 130m;
Speed s = 45kmph;
time t = 30 sec ;
length of the bridge l2 = ?

Here total distance D= (length of the train + length of the bridge)
so d=l1+l2;
we know the formula of distance (d)=speed(s)*time(t);
but the speed in kmph we have to convert into mph so speed (s) = 45*(5/18)=25/2;
then d=s*t;
then substitute all the values in it.
(l1+l2)=(25/2)*30;
we know the l1 value l1=130m;
(130+l2)=(25*15)
(130+l2)=375
then l2 =375-130
length of the bridge is l2=245;

DURAI said:   8 years ago
@Rahul.

Your explanation is clear my doubt thank you.


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