Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 25)
25.
A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:
48 km/hr
54 km/hr
66 km/hr
82 km/hr
Answer: Option
Explanation:

Let the speed of the second train be x km/hr.

Relative speed = (x + 50) km/hr
= [ (x + 50) x 5 ] m/sec
18
= [ 250 + 5x ] m/sec.
18

Distance covered = (108 + 112) = 220 m.

Therefore 220 = 6
( 250 + 5x (
18

=> 250 + 5x = 660

=> x = 82 km/hr.

Discussion:
77 comments Page 7 of 8.

Darshan Kumar said:   1 decade ago
@Karthika , see when we take the series 220/5x+250/18=6 than the 18 will go up side and new series came 220*18/5x+250=6 , so here the formula 18/5 km/h is applicable .
I think ur doubt is clear

Karthika said:   1 decade ago
Hey the final answer is in m/s its not in km/h can some one clarify my doubt.

Ankit said:   1 decade ago
Nice explanation Sanjay.

Sanjay sharma said:   1 decade ago
I want to explain clearly for those who have confusio b/w km/h & m/s.
Let take v M/s is the speed of the second train.
Thus formula is
T=220/(v+50*5/18)
after solv. it
we get
v=410/18 in M/s
convert v into km/hr
thus
v=410*18/(18*5)km/hr
then
v=82 km/hr.
I think its very clear now

Vijayalakshmi said:   1 decade ago
Solution for 220
__________ =6 is
(250+5x/18)

220*18
_______ =6 => 220*18=6(250+5x)
250+5x
=> 220*3=(250+5x)
=>660=250+5x
=> 660-250=5x
=>410=5x
=>x=82

Harisha said:   1 decade ago
Here the ans is in km/hr. so frm starting onwards we sould calculate
the problem without converting into m/s.

Let speed of d second train= xkm/hr

Distance covered=(108+112)=220m=0.22km

Time=6sec= 6/3600hr =1/600hr

So
1/600hr= 0.22km/(50+x)
x=82km/hr

Dharamjeet Singh said:   1 decade ago
How can the final answer come in Km/hr ??

Muthulakshmi said:   1 decade ago
Hai Mr.Ramesh

You are Correct.Thanks for explaining the problem clearly

Ambika said:   1 decade ago
Length of the trains=108+112=220m=(220/1000)=(11/50)km

Let the speed of second train be xkm/hr
therefore,relative speed=(50+x)km/hr(since it is opposite direction the speeds should be added)
time=6sec=(6/3600)=(1/600)hr
then solve using the formula time=(distance/speed)
i.e (11/50)/(50+x)=(1/600)
after solving x will be 82km/hr

Gargi Banerjee said:   1 decade ago
Please give an appropriate answer with perticular reason, this is not clear to me.


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