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 5 of 8.

Vaibhav said:   1 decade ago
Here there is no need of finding relative speed right? then why we find relative speed?

Divya said:   1 decade ago
Here there is no need of finding relative speed right? then why we find relative speed?

Sudha said:   1 decade ago
When you divide 200/24, you won't get 25/3? So I request you to explain me properly.
(1)

Dewansh said:   6 years ago
Why the relative speed is the sum of individual speeds rather than the difference?

Sunil bhanovath said:   7 years ago
@Nutan.

Why 50/3 taken as speed of the train is 2x so that's why we should take.

RAHAMAN said:   1 decade ago
SOLVING WITHOUT x

{(100+100)/8}*{(18/5)}=90K/H
NOW,
SPEED=2:1
SO,
90*2/3=60K/H

Sudha said:   1 decade ago
I did not understand how you got 50/3? Please I need a clear explanation.

Manivel said:   6 years ago
@Punam.

Substitute the X value in faster train 2X, 2* (25/3) =50/3. M.

Innie said:   4 years ago
If x= 25/3, how is 2x= 50/3?

It should have been 50/6. Am I right?
(2)

Jagdish said:   2 decades ago
I don't understand how is speed of the faster train = 50/3 m/sec.


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