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:
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
![]() |
25 | . |
3 |
So, speed of the faster train = | 50 | m/sec |
3 |
= | ![]() |
50 | x | 18 | ![]() |
3 | 5 |
= 60 km/hr.
Discussion:
74 comments Page 5 of 8.
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
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
Lavanya said:
1 decade ago
I don't understand please explain it brief.
Kavitha said:
1 decade ago
I didn't understood how can I clear this problem?
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
look normal speed =x
twice the above speed=2*x=2x
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:+).
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?
Seema said:
1 decade ago
If these two trains are moving in opposite direction then how can we add their distance.
Abhinav said:
1 decade ago
When the train is Opposite direction, than the relative speed is add to both (100+100)= 200
Mini said:
1 decade ago
Hi @jelli, I think this is correct.
length of each train=100 m
let speed of one train=x km/h
other is moving twice as fast the other i.e=2*x km/h
speed=distance/time
(x+2x)*5/18=200/8
x=30m
they are asking the speed of faster train which is 2*x
here we land up with x=30
So 2*30=60m
length of each train=100 m
let speed of one train=x km/h
other is moving twice as fast the other i.e=2*x km/h
speed=distance/time
(x+2x)*5/18=200/8
x=30m
they are asking the speed of faster train which is 2*x
here we land up with x=30
So 2*30=60m
Nayana said:
1 decade ago
Hi Arun,
Here we are converting km/h to m/s
so 1km=1000 meters
1hr=3600 sec
1km/h=1000/3600 m/s
1000/3600=5/18 m/s
Here we are converting km/h to m/s
so 1km=1000 meters
1hr=3600 sec
1km/h=1000/3600 m/s
1000/3600=5/18 m/s
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