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 12 of 48.

Rajesh Motana said:   1 decade ago
Train moves with speed 125m/10 sec,.. So need to convert it as KM/ Hr ,..To convert 125m to KM we have to divide it with 1000 so it is 125/1000 and to convert 10 sec to hrs we have to divide it with 3600 so it is 10/3600.
Then it becomes (125/1000)Km/(10/3600)hr.
So we can change it to (125/1000)*(3600/10)..
It is (5/40)*(360) = (360*5)/40 = 180/4 = 45 Km/Hr.

.. Now we have got the speed in 1 Hour ie 45 Km..

As the man is travelling at 5 Km/Hr.. In that 1 Hr he already travelled 5 Km's.. So the train speed should be 45+5 Km's to cross that person in that 1 Hr.. Now answer is 50 Km/Hr.. I hope it is clear,... Take a paper a write exactly what i have given above,.. I am sure u guys will like it..

Abhishek said:   1 decade ago
Can anyone find another way of solving this? Apart from relative speed?

Jeevanantham said:   1 decade ago
How to relative 45 with man running speed. Please explain it any one.

VIMAL said:   1 decade ago
This is good Question i understand that, some friend disturb for 18/5. its simple its unit for km/hr. let see that1km=1000m & 1hr = 3600 second so 1000/3600 = 5/18 . And see that If we want to small unit convert in to big unit we have to divide & if we want to big unit convert in to small we have to multiply so here they dividing and write 18/5 ok so encourage your self my friend go ahead. VIMAL SONI & DUSHYANT SONI

Vasuedvareddy said:   1 decade ago
@Vasudeva reddy

1km = 1000m =100,000cm
1 inch = 2.54cm
1 ft=12 inches = (12*2.54)cm
1km = 0.621371192 mile
1.609344 km = 1 mile

Sarah said:   1 decade ago
Hi I can't understand friends. What is this x-5 ?

Please anyone explain clearly.

Suganthan.M said:   1 decade ago
We need the speed of the train
we have only one clue about the train is 125m and 10s
speed=distance/time
(i.e)125/10= 12.5 m/s
but we need the answer in km/hr so convert it

12.5*(18/5)=12.5*3.6
=45 km/hr almost we got it
then about the direction, it is in same direction

Now the speed of the train as x,
because of same direction subtract it from x
x-5=45
x=45+5
x=50km/hr

Chetana said:   1 decade ago
Thanks frnd. I understand properly.

Gowthami said:   1 decade ago
Nice explanation from you frnds but ravi said that we had add that relative speed, I can't understand from his point of view.

Jitendra Prajapati said:   1 decade ago
Very good explanation by Suganthan.


Post your comments here:

Your comments will be displayed after verification.