Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 13)
13.
Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:
30 km/hr
45 km/hr
60 km/hr
75 km/hr
Answer: Option
Explanation:

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

Then, speed of the faster train = 2x m/sec.

Relative speed = (x + 2x) m/sec = 3x m/sec.

(100 + 100) = 3x
8

24x = 200

x = 25 .
3

So, speed of the faster train = 50 m/sec
3

   = 50 x 18 km/hr
3 5

   = 60 km/hr.

Discussion:
74 comments Page 2 of 8.

Seema said:   1 decade ago
If these two trains are moving in opposite direction then how can we add their distance.

Kumaran6248 said:   1 decade ago
Here I wanna know! how we suppose to have 2x as fast train. Can any one suggest me"""If one is moving twice as fast the other""". And what about this?

Vel said:   1 decade ago
Hi seema rules wise we have to add the distance, relative speed based on the direction of both trains (same:-, opposite:+).

Akber said:   1 decade ago
Assume one train is moving with X speed than other is twice faster it means 2x

look normal speed =x
twice the above speed=2*x=2x

Kavitha said:   1 decade ago
I didn't understood how can I clear this problem?

Lavanya said:   1 decade ago
I don't understand please explain it brief.

Adityabala said:   1 decade ago
Now study the problem carefully the given data is
two trains moving in opposite direction . that means we add them 100+100=200mts

to cross these 200mts it takes 8 secs ok
now, they have asked to find the speed of the faster train if the speed is twice the slower train , this is given in the question.

Now ,

speed=distance/time

speed=200mts/8secs ok
as options are given in km/hr , we have to convert speed to km/hr

So we multiply with 18/5
well (200mts/8secs)*18/5=(200/8)*(18/5)=90km/hr
these is the total speed .

Now they asked us to find the speed of the train twice the other train

Let the speed of first train =xkm/hr

Speed of other train should be twice=2x km/hr

So we have got total speed as 90km/hr
x+2x=90km/hr
3x=90km/hr
x=30km/hr
speed of one train is 30km/hr.

So they asked twice the speed of train

So we get 2x=2*30
=60km/hr
Now if we add 30+60=90km/hr

We got the total speed

The speed of the faster train is 60 km/hr

Dinesh said:   1 decade ago
In this problem how we can take 50/3?

Abhinav said:   1 decade ago
When the train is Opposite direction, than the relative speed is add to both (100+100)= 200

Shiv said:   1 decade ago
Give me short cut.


Post your comments here:

Your comments will be displayed after verification.