
If I walk at 3 km/hr. I miss a train by 2 minutes , if however I walk at 4 km/hr then I reach the station 2 minutes before the arrival of the train .How far do I walk to reach the station ?
A)
B)
C)
D) 1 km
Answer
477.3k+ views
Hint:
Assuming x to the distance and using the relation we get the time as when I walk at a speed of 3 km/hr and when I walk at a speed of 4 km/hr and equating these both we get the value of x.
Complete step by step solution:
Let x be the distance which I walk to reach the station
We know that
Therefore when I walk at a speed of 3 km/hr I reach the station 2 minutes late
……….(1)
Here the extra 2 minutes is written as because our calculation in done in terms of hours so we convert minutes to hours by dividing it by 60
Here we add the two minutes as I take two minutes extra (in addition )
Therefore when I walk at a speed of 4 km/hr I reach the station 2 minutes early
……….(2)
Here we subtract the two minutes as I reach 2 minutes earlier
Equating (1) and (2)
Since distance cannot be negative
The correct option is c.
Note:
If distance travelled for each part of the journey,
Ie , then the average speed of the object is Harmonic Mean of speeds.
Let each distance be covered with speeds times respectively.
Then
Assuming x to the distance and using the relation
Complete step by step solution:
Let x be the distance which I walk to reach the station
We know that
Therefore when I walk at a speed of 3 km/hr I reach the station 2 minutes late
Here the extra 2 minutes is written as
Here we add the two minutes as I take two minutes extra (in addition )
Therefore when I walk at a speed of 4 km/hr I reach the station 2 minutes early
Here we subtract the two minutes as I reach 2 minutes earlier
Equating (1) and (2)
Since distance cannot be negative
The correct option is c.
Note:
If distance travelled for each part of the journey,
Ie
Let each distance be covered with speeds
Then
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