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 33 of 48.

Angel said:   8 years ago
@Bala.

Speed=(Distance/Time).
Here distance is the length of the train which is 125 m and the time is 10 s
speed=125/10.

Ashis said:   8 years ago
5 km/h convert into m/s =5*1000/3600 or 5*5/18 =1.38,
Distance traveled by man in 10 sec = 1.38*10=13.8,
Total distance traveling by train =125m +13.8m =138.8,
Final speed of train in 10 sec = 13.88m/s=49.968km/h.
Some error because of 1.38 is approximate.

Chithra said:   8 years ago
1 km = 1000 meters.
1 hr = 3600 seconds.

1 km/hr = 1000/3600 m/s.

= 10/36 m/s.
= 5/18 m/s.

Therefore 1 km/hr = 5/18 m/sec.

Similarly, the reciprocal of m/sec is used to calculate km/hr.

Priya said:   8 years ago
As both the man and train are moving in the same direction than why the relative is subtracted by 5 i.e, x-5 it should be x+5?

Yuvraj said:   8 years ago
Speed=Distance(length of train)/Time;
s=125/10;

But s is (speed of train and man together i.e man's speed is 5km/hr so convert 5*(5/18)& train and man going in same direction that's why -X (let the speed of train)

(X*(5/18))-(5*(5/18))=125/10,
x-5=45,
x=50.

Mustufa said:   8 years ago
As we find train speed pass near to man is 45 km/hr and man also running at speed of 5 km/hr so we add train speed with man speed so we get the exact speed of train.

Vasu erothi said:   8 years ago
a km/hr to m/s conversion.
a km/hr =[a*5/18]m/s.

Arup said:   8 years ago
What is 18/5?

Please explain.

Nivetha said:   8 years ago
What is the meaning of (x-5) then, x-5=45?

Please explain this line.

Gilbert said:   8 years ago
I think, 18/5 is seconds per meter not metres per second.


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