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 23 of 48.
John said:
9 years ago
@Swati
To convert km/h into m/sec.
To convert km/h into m/sec.
Shikha said:
9 years ago
Why did we take relative speed twice ?
Once with the main i.e 125/10 * 18/5 then again, x- 5.
Please clarify my doubt.
Once with the main i.e 125/10 * 18/5 then again, x- 5.
Please clarify my doubt.
Shashi said:
9 years ago
@Krishna.
The thought of shortcut methods comes when we are not able to understand the problem. My word is understanding a problem clearly is itself a shortcut.
The thought of shortcut methods comes when we are not able to understand the problem. My word is understanding a problem clearly is itself a shortcut.
Shashi said:
9 years ago
@Suma
Relative speed comes when we measure speed between any objects moving at a time.
Here man and train are moving at a time.
Relative speed comes when we measure speed between any objects moving at a time.
Here man and train are moving at a time.
Krishna said:
9 years ago
Is there any shortcut method to learn the relative motion?
Suma said:
9 years ago
Can someone please tell me? When we make the use of relative speed?
Nishant said:
9 years ago
Guys, we easily get 45 km/hr then we subtract from 45-5 then we get an answer 40 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.
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 5 = 45.
x = 50 km/hr.
PANASA HARISH KUMAR said:
9 years ago
Dear Friends,
Understand the question:
Train speed relative to man (X-Y) = ?
X is Train speed.
Y is Man speed (given as 5 km/hr).
We have length(distance) train passes = 125m.
Train passed in time = 10 seconds.
Hence, speed = distance/time.
speed = 125/10 meters/seconds.
Speed = 25/2 m/s.
Let's convert m/s to km/hr.
****Remember While conversion of km/hr to m/s, multiply with 5/18 or 0.277.
Similarly, conversion m/s to km/hr, multiply with 18/5 or 3.6.
(these are not blind values, we can get if we calculate)****
= 25/2 X 18/5 km/hr.
= 45 km/hr.
Let's see,
Train speed relative to man.
X-Y = ?
X-Y = 45 km/hr.
as we know Y = 5 km/hr.
X-5 = 45.
X = 45+5 = 50 km/hr.
Understand the question:
Train speed relative to man (X-Y) = ?
X is Train speed.
Y is Man speed (given as 5 km/hr).
We have length(distance) train passes = 125m.
Train passed in time = 10 seconds.
Hence, speed = distance/time.
speed = 125/10 meters/seconds.
Speed = 25/2 m/s.
Let's convert m/s to km/hr.
****Remember While conversion of km/hr to m/s, multiply with 5/18 or 0.277.
Similarly, conversion m/s to km/hr, multiply with 18/5 or 3.6.
(these are not blind values, we can get if we calculate)****
= 25/2 X 18/5 km/hr.
= 45 km/hr.
Let's see,
Train speed relative to man.
X-Y = ?
X-Y = 45 km/hr.
as we know Y = 5 km/hr.
X-5 = 45.
X = 45+5 = 50 km/hr.
Rajeev said:
9 years ago
Nice explanation.
Sourav said:
9 years ago
Why did we not converted 125 m to km?
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