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:
493 comments Page 7 of 50.

Osaji Jeff said:   4 years ago
Why was the formula reversed from 5/18 to 18/5? Please explain me.
(29)

Iliyas said:   4 years ago
m/sec = [1/1000 km] / [1/3600 sec]
= [1/1000] *[3600/1],
= [3600/1000].
= [18/5]km/hr.
(28)

Priyanka devi said:   5 years ago
@Rahul.

Great work, Thanks for explaining.
(7)

Bunny said:   5 years ago
Why the speed of the train is calculated by 125 meters by 10sec?
(6)

Moses Obia said:   5 years ago
Where was 18 got from? Please explain.
(6)

Raghu k said:   5 years ago
It is simple guys.

If we observe hint, her there should be the relative speed because the train and are travelling in the same direction so we (train) -v (man) T =Distance.

(120/10) (18/5) =v (t) -5.
45+5=v (t).
50=v (t).
(8)

Kushal M V said:   5 years ago
They took 18/5 because the length of train is in meter and time given which passes the man is given in seconds. To convert m/s to km/ hr they multiplied with 18/5. And the answers also in km/hr.
(2)

Kushal M V said:   5 years ago
They took 18/5 because the length of train is in meter and time given which passes the man is given in seconds. To convert m/s to km/ hr they multiplied with 18/5. And the answers also in km/hr.

Bithal Jena said:   5 years ago
Solution:

Time = Distance/Speed.

Length of train=125m.

Speed of the person in the same direction is 5KM/hr i.e 25/18m/sec
the train takes 10 sec to cross i.e our time.

Let take x as the speed of the train.

So according to the above formula.
10 = 125/x-(25/18),
10 = 125 * 18/18x-25.
x = 13 * 18/5 m/sec.

To make it KM/hr we have to multiply it by the help of 18/5.
13*18/5 * 18/5 = 46km/hr.

So ans should be 46.
(3)

Abinaya said:   5 years ago
Why we should reciprocal 5/18 to 18/5? Please explain.


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