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:
487 comments Page 27 of 49.

Geeth said:   1 decade ago
Thank you all guys I got many ideas.

Swamy chukkala said:   1 decade ago
Well,

10 sec ----125 mt.

36 sec----- = (36/10)*125 = 450 mt = 450/10 = 45 + 5 = 50 km/hr.

Deepak said:   1 decade ago
In first problem you mentioned that meters per sec is equal to 5/18 but then you are taking like 18/5 why so please tell me.

Stark said:   1 decade ago
Correct your equation to 125/v1-(10*5)/(5*18) = 10 you will get.

v1 = 13.88 m/s.
==> v1 = 50 kmph.

Sai said:   1 decade ago
This concept is relative to distance not to time so you cannot take a relation like you have mentioned.

Samcena said:   1 decade ago
I made a relation like this (125m/v1-5*5/18) =10 sec. But the answer is not coming ? I converted 5 km/hr to m/s. Then I put it in above equation.

I put all the terms in m and sec (not in km and hour). My answer is coming to be 30. How is it? Help me out

Deepak said:   1 decade ago
Nice trick.

Aayushi said:   1 decade ago
In 10 sec man will cover 125/9 m. In the relative motion distance should be added in either cases (opposite direction or same direction). So relative speed should be (125+(125/9))/10. Please explain.

Plabon said:   1 decade ago
Let the speed of train= x km/hr.

So relativee speed = distance/time.

Relative speed of train = (x- 5) km/hr.

x-5 = 0.125/10/3600.

So x- 5 = 0.125x3600/10 = 45.

x = 45+5 = 50 km/hr answer.

Rohit said:   1 decade ago
Why is the distance covered by man in 10 sec not considered? I believe the total distance would be the length of train + distance covered by man in 10 sec. Considering this the relative speed of train comes out to 55 km/hr. Please suggest.


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