Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 2)
2.
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
45 km/hr
50 km/hr
54 km/hr
55 km/hr
Answer: Option
Explanation:

Speed of the train relative to man = 125 m/sec
10

   = 25 m/sec.
2

   = 25 x 18 km/hr
2 5

   = 45 km/hr.

Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.

x - 5 = 45         x = 50 km/hr.

Discussion:
475 comments Page 4 of 48.

Anitha Alavala said:   1 decade ago
See the answer for 18/5 is how?
1 km=1000m & 1hr=3600sec by this we get 1km/1hr = 5/18 m/sec.But
the answer must be in km/hr....But 5/18 is in m/sec. we have to convert it to km/hr.
1 km = 1000m => m = 1 km/1000 hr/3600)
= (1km/1000)*(3600/1hr)
= 3600km/1000hr => 18/5 km/hr
friends...its a perfect answer...have a look.

San said:   1 decade ago
I cant understand relative speed formula ie) x-5 is this standard formula ?

Sathish said:   1 decade ago
(x-5) is not a standard formula x is taken as speed of train and 5 is man's speed, to calculate train's speed from relative speed we subtract (x-5).

CHAKIT said:   1 decade ago
x - 5 = 45
x= 45+5
x = 50 km/hr.

Sanya said:   1 decade ago
relative speed when two movable things whose speeds x,y are moving in same direction is =X-Y,
relative speed when two movable things whose speeds x,y are moving in OPPOSITE direction is =X+Y
Its an standard formula

Onam said:   1 decade ago
5/18 is conversion of km/hr to m/s and 18/5 is conversion digit m/s to km/s

Vijay kumar kuppani said:   1 decade ago
DONT WORRY FRIENDS ITS VERY SIMPLE

instead of going for a new formula.we can simply get the answer by using the standard formula.i,e

t=(a+b)/(u-v)
u can see this formula from the general formulas of this exercise.
where
t-time taken by the train to cross the man=10 sec;

a-length of the train=125meters;
b=0(because the train is supposed to cross a person);
u=speed of the train(you are supposed to find out);
v=speed of the man who is running=5km/hr=5*(5/18)=25/18m/sec;

by substituting the values in the above equation you can get the value..

Nas said:   1 decade ago
Nice explanation friends. !

Priyavel said:   1 decade ago
Both (train and man) moves in same direction so we subtract.

Both moves in opposite direction means we add it.

We convert m into km, sec into hour so we multiply 18/5.

Jelli said:   1 decade ago
Thanks to all.

I got many idea's to solve this problem.


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