Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 8)
8.
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
40 sec
42 sec
45 sec
48 sec
Answer: Option
Explanation:

Formula for converting from km/hr to m/s:   X km/hr = X x 5 m/s.
18

Therefore, Speed = 45 x 5 m/sec = 25 m/sec.
18 2

Total distance to be covered = (360 + 140) m = 500 m.

Formula for finding Time = Distance
Speed

Required time = 500 x 2 sec = 40 sec.
25

Discussion:
78 comments Page 7 of 8.

Gaurav said:   1 decade ago
Total length = bridge length + train length = 140+360=500.
Let time taken by train be x.

Then,

500/x=45*5/18 m/sec.

500/x=25/2.

1000=25x.

x=40 sec answer.

Swayoni said:   1 decade ago
Why the distance is calculated as (360+140) ? why not only 360?

Amaran said:   1 decade ago
Train distance is = 360m long.

Speed of the train is = 45km/hr.

Changing into m/second = (45*5/18) m/hr.

The platform distance is = 140m.

Both the distance = 500m.

Speed = distance/time.

Time = distance/speed.

Time = 500*18/5*45.

Time = 40sec.

Priya said:   2 decades ago
@ Dwaraka.

Regarding this prob (A train 470 m long is running at a speed of 55 km/hr. In what time will it pass a bridge 140 m long?).

I understood the solution but it ll take quit time to solve. Can you please provide some shortcut trick to solve.

Paddy said:   2 decades ago
5/18 comes .because we want to express the unit of speed to m/s

1km/hr=1000m/3600s=5/18 m\s

Sikkanthar said:   1 decade ago
It is very simple problem.

Here we are going to calculate the value of the time.

All we know the distance or length is nothing but (train length + platform length) from this value we can calculate the time value like.

Length/speed = time.

Convert the speed value m/s into kmph.

Yash said:   1 decade ago
The Distance travelled by train + bridge length should divide with speed. Simple logic.

Vinod Anand said:   1 decade ago
Total Length of Train and Bridge = 360+140 = 500 Mtr.

And Speed is = 45km/hr.

Than T = 500*18/45*5.
= 200/5.
= 40 sec.

Shrif said:   1 decade ago
This answer will getting by converting the values of distance and cross multiplication to get this answer easily.

Saud said:   1 decade ago
Length Of the train = 360m.
Speed of train = 45km/hr.

Converting it into m/s = 45*1000/3600.

= 45*5/18 (after basic cancellation).
= 25/2 m/s.

Now, let time required by train to cover 140m long bridge = x sec.
Therefore, t = d/s.

x= (train length + platform length) /speed of train.
Therefore, x= (360+140) / 25/2.

x = 500*2/25.

x = 40 sec.

Easiest some until now. Thank You. Hope it helped you.


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