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:
245 comments Page 24 of 25.

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

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

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.

Ishwarya said:   7 years ago
Shouldn't we are considering from the time the train's front enters the bridge till the tail is completely off the bridge as 30 seconds?

Then it would be 375- (130+130) =115m.

Sasidhar nrit said:   7 years ago
45 km/hr.

45000/60min = 750m /min.
travelling 750m per minute,
750m/30sec = 375m,
than 375m-130m = 245m.

Is this correct?

Hashwanth said:   7 years ago
So, guys is this assumption is correct? Please tell me.

Assumption is if I thinking about a total distance, that means, does it include train's distance and the distance it traveled?

Abhi singh said:   7 years ago
So,

45 * 5/18 = 25/2 = 12.5.
Speed = 12.5,
Distance = time * speed = 30 * 12.5 = 375.
130+x = 375,
x = 375-130,
x = 245m/s.

Mahesh said:   6 years ago
In order to convert a Km/hr to m/sec.

For 1km/hr.
1km=1000m.
1hr=3600sec.

Now 1000/3600=0.277m/sec.
for 45 km/hr.
45km= 45000.
1hr= 3600.

Now 45000/3600=12.5m/sec.
time taken is equal to 30 sec.

Let the length of the bridge be x meters.
Then 130+x/30= 12.5.
= 130+x = 12.5 * 30.
= x = 12.5 * 30-130.
Now x = 245m.

Nilesh said:   6 years ago
How will you get 25/2 from 45 * 5/18?

Saikrishna said:   6 years ago
@Naveen Kumar,

That 2(130+x) = 750 come as,

2(130+x) = 750, then,
Multiply (130+x) with 2 = 260+2x = 750.
260+ 2x = 750 .
2x = 750 - 260.
2x = 490.

x= 490/2.
x= 245 meters.

You got it, this is simple way.


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