Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 23)
23.
Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
10
18
36
72
Answer: Option
Explanation:

Let the speed of each train be x m/sec.

Then, relative speed of the two trains = 2x m/sec.

So, 2x = (120 + 120)
12

=> 2x = 20

=> x = 10.

Therefore Speed of each train = 10 m/sec = ( 10 x 18 ( km/hr = 36 km/hr.
5

Discussion:
38 comments Page 2 of 4.

Souvanik said:   10 years ago
Question is speed of each train?

Length of each train is 120 m and speed is also same.

So Speed = Distance/Time.

= 120/12 m/s.

= 10 m/s.

= 10*18/5 km/hr.

= 36 km/hr [1 m/s = 18/5 km/hr].

Answer will be 36 km/hr.

Shafiq said:   9 years ago
Why the relative speed of the two trains is taken as 2x?

Prashanth said:   9 years ago
Why can't we consider as x kmph?

Lambrud sachin said:   9 years ago
Distance = 120 m,

Time = 12 sec, s = ?

So, T = D/S,
=> 12 = 120/s.

s = 120/12,
s = 10m/sec.
Then,
s = 10 * 18/5.
s = 36km/hr.

Rawoof said:   9 years ago
If you assume that you are sitting on one train:

When crossing another train, distance to move to the end of opp train = 120meters,
distance to move so the end of your trains reaches other trains tail is 120meters

Total distance = 120 + 120 = 240 metres.
Time taken = 12sec.
Relative speed = v + v = 2v.

2v = 240/12 = 20,
=> v= 10metres/sec.
v km/hr = 10 * (1/1000)/(1/3600) = 3600 * 10/1000 = 36km/hr.

Priyanka said:   9 years ago
Why are we ignoring the relative speed?

Swathi said:   9 years ago
Two vessels contains milk and water in the ratio 3:2 and 7:3 find the ratio in which the ratio contents of two vessels have to be mixed to get a mixture in which the ratio of the milk and water is 2:1?

Please solve this problem.

Vaibhav said:   8 years ago
Can anyone tell me that answer is asked in km\hr, but the answer given is s\m?

Why?

Koli Jyoti said:   8 years ago
Let the speed of a singe train be x m/sec.
length= 120m.
time= 12 sec,

speed = length/time.
= 120/12.
= 10 m/s.

According to given question, they want speed in km/hr so we will convert it by formula (a*18/5)km/hr.

In our case a is 10m/s.
So
speed=(10*18/5)km/hr,
=36 km/hr.

Jack said:   1 decade ago
No need to find the relative speed because speed and length of the both train is same.

So, simply find the speed of single train.

120/12 = 10 m/s.

10*18/5 = 36 km/ph.


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