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:
Answer: Option
Explanation:
Speed of the train relative to man = | ![]() |
125 | ![]() |
10 |
= | ![]() |
25 | ![]() |
2 |
= | ![]() |
25 | x | 18 | ![]() |
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 29 of 48.
Geeth said:
10 years ago
Thank you all guys I got many ideas.
MANAV said:
10 years ago
Everything is ok and easy explanation.
But one thing is questionable.
If the train is crossing a man who is running in the same direction with a speed of 5km/hr, than than how the distance travelled in 10 secs is equal to the length of the train. Don't you think dear friends the distance travelled by the man should also be added to the length of the train.
But one thing is questionable.
If the train is crossing a man who is running in the same direction with a speed of 5km/hr, than than how the distance travelled in 10 secs is equal to the length of the train. Don't you think dear friends the distance travelled by the man should also be added to the length of the train.
Shikhar Singh said:
10 years ago
Thanks for all related answer its easier for me too solve query like this.
Mayurkapse said:
10 years ago
18/5 divided because the conversion of m/sec to km/hr.
Mandla npvks said:
10 years ago
Solution: The train length is 125 m.
One man speed is 5 km/h. Time is 10 s.
The velocity of man with respect to train is v=distance/time.
125 m/10 s = 12.5 m/s.
We convert into km/h we multiplied with 18/5.
Then s = 12.5*18/5 = 45 km/h.
The train speed is 45+5 = 50 km/h.
One man speed is 5 km/h. Time is 10 s.
The velocity of man with respect to train is v=distance/time.
125 m/10 s = 12.5 m/s.
We convert into km/h we multiplied with 18/5.
Then s = 12.5*18/5 = 45 km/h.
The train speed is 45+5 = 50 km/h.
Dhamodharan.r said:
10 years ago
What is the meaning of relative speed and also meaning of x-45=5?
Neeraja said:
10 years ago
Why it is subtracted by 5?
Khushwanth said:
10 years ago
HEY NEERAJA.
Distance = Time*Speed 125 = 10*Speed.
Distance/Time = Speed 125/10 = (25/2) m/s = Speed.
----------------------------------------------------------.
Answer should be in km/hr so convert m/s.
Km = 1000 m and hr = 3600 s.
M = km/1000 and s = hr/3600.
M/s = (3600/1000) km/hr.
M/s = (18/5) km/hr.
----------------------------------------------------------.
The condition was speed = (25/2) m/s.
= (25/2)(18/5) km/hr.
= 45 km/hr.
The speed was relative to man so we have taken time in consideration of man.
--------------------------------------------------------.
See further in in view answer.
Distance = Time*Speed 125 = 10*Speed.
Distance/Time = Speed 125/10 = (25/2) m/s = Speed.
----------------------------------------------------------.
Answer should be in km/hr so convert m/s.
Km = 1000 m and hr = 3600 s.
M = km/1000 and s = hr/3600.
M/s = (3600/1000) km/hr.
M/s = (18/5) km/hr.
----------------------------------------------------------.
The condition was speed = (25/2) m/s.
= (25/2)(18/5) km/hr.
= 45 km/hr.
The speed was relative to man so we have taken time in consideration of man.
--------------------------------------------------------.
See further in in view answer.
KAushiK said:
10 years ago
I have a doubt were in some case we consider 18/5 and in some case we consider 5/18?
Can anyone please let me know in which of the cases we consider what?
Can anyone please let me know in which of the cases we consider what?
Priya said:
10 years ago
To convert kilo meter/hour to meter/sec we consider 5/18.
To convert meter/sec to kilometer/hour we consider 18/5.
To convert meter/sec to kilometer/hour we consider 18/5.
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