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 3 of 48.
Abhishek said:
1 decade ago
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 = 1000m and hr = 3600s
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 = (25/2)m/s = speed
----------------------------------------------------------
Answer should be in km/hr so convert m/s
km = 1000m and hr = 3600s
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.
----------------------------------------------------------
(1)
Nagapriya said:
1 decade ago
Now I understand that,.
Distance = Speed*Time.
Time = Distance/Speed.
Speed= Distance/Time.
OK guys, very thanks to your teaching.
Distance = Speed*Time.
Time = Distance/Speed.
Speed= Distance/Time.
OK guys, very thanks to your teaching.
Amit said:
1 decade ago
Can any one tell me why we have mulipled 25/2 to 18/5..why it should not be multiplied by 5/18 and also how ?
x - 5 = 45 ....as I understand it should be 40 km/hr
x = 50 km/hr. Because x=45.
45-5=40....hence anyone pls clarify.
x - 5 = 45 ....as I understand it should be 40 km/hr
x = 50 km/hr. Because x=45.
45-5=40....hence anyone pls clarify.
Srikanth Mirdati said:
1 decade ago
Could anyone please tell me how we get to 25/2 by dividing 125/10. I want to know how the division of 125/10 is done to get 25/2 an answer would be appreciated greatly.
Shabana said:
1 decade ago
Hi, Really the explanation given by Dattatray & Rahul was superb. Thanks guys.
Manoj Chauhan said:
1 decade ago
125/10 = 12.5
3600/1000 = 36/10 (you should delete the last two zeros)
36/10 = 3.6
x = 12.5 * 3.6
So that x = 45 per hour right (this is relative speed of train)
x = 45 (you add 5 km per hour for train speed because 45 is relative speed of train).
Therefore x = 50 (the required answer).
3600/1000 = 36/10 (you should delete the last two zeros)
36/10 = 3.6
x = 12.5 * 3.6
So that x = 45 per hour right (this is relative speed of train)
x = 45 (you add 5 km per hour for train speed because 45 is relative speed of train).
Therefore x = 50 (the required answer).
Nitesh Nandwana said:
1 decade ago
Hai Rahul, well explanation about relative speed and same and opposite directions. Good job keep it up.
K.C.Yogannal said:
1 decade ago
@Vijayagopal.
As speed =length/time they have done 125/10. Where 125 is the length and 10 is the time. Hope you understood.
As speed =length/time they have done 125/10. Where 125 is the length and 10 is the time. Hope you understood.
Atique said:
1 decade ago
Nice Explanation Guys. Thanks a Lot.
Anitha said:
1 decade ago
Why 18/5 please tell me?
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