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 3 of 8.

Qweg said:   9 years ago
In this, we are not considering the distance that is between them? Should it be considered too?

Navin said:   9 years ago
x = 25/3

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

I can't understand these steps please help me.

Sonam said:   8 years ago
@Adityabala.

Nice explanation. Thanks.

Srinu said:   10 years ago
What is formula distance?

R.Rakesh KUmar said:   8 years ago
@Navin.

In question they have mentioned to calculate the speed of faster train i.e to calculate 2X
X=25/3 is the speed of the slower train and ( " If one is moving twice as fast the other" given in question).

2 * X = 2 * 25/3 => 50/3.

K.ratnababu said:   8 years ago
This is another way.
two trains opposite direction 100m+100m=200m.
200m to cover 8 seconds then,
(200m 8sec
? 3600sec
90000m that means 90k).
3600sec that mean 1 hour to cover 90000m that is 90k/h.
the train speed is 2:1.
total 3 parts.
3parts 90kilometers then,
2parts ?
60k.

Garvit said:   8 years ago
Why wasn't the speed of one train 1 considered x and other considered y? Why we're both taken as x?

Eudis said:   7 years ago
From where did 18/5 come? Please explain me.

Ganesh said:   7 years ago
Consider one train x speed and another one is x one twice speed to the other train then x+2x-3x.

Reeha said:   7 years ago
@Eudis.

It's the basic conversion principle, From km/hr to m/s we can use 5/18 and the reciprocal for vice versa.


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