Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 7)
7.
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
50 m
72 m
80 m
82 m
Answer: Option
Explanation:

Let the length of each train be x metres.

Then, distance covered = 2x metres.

Relative speed = (46 - 36) km/hr

   = 10 x 5 m/sec
18

   = 25 m/sec
9

2x = 25
36 9

2x = 100

x = 50.

Discussion:
232 comments Page 13 of 24.

Ghari said:   2 years ago
The two trains were at race from the same point. One is not behind the other to cross 2x length, so it will be only x length.

Am I right?
(20)

Rkb said:   9 years ago
T = (L1 + L2)/(S1 + S2),
T * (S1 - S2) = L1 + L2,
36 * 10 * 5/18 = L1 + L2,
100 = L1 + L2.
Given that L1 = L2.
Then,
2L1 = 100.
L1 = 50.

Nagarjuna said:   1 decade ago
Length of train is equal to diffence in speeds multiplied by that's all.

46-36=10km/hr.

36sec*10km/hr.

36*10* (5/18) mts/s.

100mts.

Joy khwaka said:   2 years ago
I know most of us are not understanding how 2x/36 comes,

Here is my explanation;

Here 2x is the distance, then 36 is time in seconds.
(5)

Gurpreet said:   7 years ago
36sc=a+b/u-v.
36 =x+x/46-36kmh,
36s= 2x/10kmh,
36s=2x/10*5/18msec,
36s=2x/25/9msec,
36s=2x*9/25,
36=18x/25,
36*25/18=x,
2*25=x,
50=x.

Dileep kumar said:   1 decade ago
Relative speed = 45-35 = 10.

= 10* (5/18) = 25/9.

Distance = (25/9) *36.

= 25*4.

= 100 FOR BOTH TRAINS.

SO = 50 FOR EACH TRAIN.

SRIRAM said:   6 months ago
If both trains were travelling in the same direction then we need to subtract the values, am I right?

Anyone, please clarify to me
(3)

Nandhu said:   9 years ago
Here, two trains are equal length & same direction but speed is different that's why we calculate the relative speed = u - v.

Abhishek said:   1 decade ago
Relative speed 46-36= 10 kmph
10 x 5/ 18 = 25/9
in 36 second total distance covered = 100m
100/2= 50 m length of each train.

Pooja said:   1 decade ago
How will you subtract speeds. Because here speeds mentioned are the speeds of two different trains not the same train speeds.


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