mohit can row 25 km upstream and 35 km downstream in 2 hours . he can row 35 km downstream and 75 km upstream in 4 hrs the speed of person in still water is
Answers
Given:
Mohit can row 25 km upstream and 35 km downstream in 2 hours. he can row 35 km downstream and 75 km upstream in 4 hrs find the speed of a person in still water is?
To find:
The speed of a person in still water
Solution:
Let,
"x" km/hr → Speed of the person in still water
"y" km/hr → Speed of the stream
So,
Speed upstream = (x -y) km/hr
Speed downstream = (x + y) km/hr
We know,
Mohit can row 25 km upstream and 35 km downstream in 2 hours, so the equation will be:
taking
. . . (1)
Mohit can row 35 km downstream and 75 km upstream in 4 hrs, so the equation will be:
taking
. . . (2)
On subtracting equations (1) and (2), we get
75u + 35v = 4
25u +35v = 2
- - -
--------------------
50u = 2
--------------------
∴ u =
On substituting the value of u in equation (1), we get
Therefore,
. . . (3)
and
. . . (4)
On adding equations (3) and (4), we get
x - y = 25
x + y = 35
---------------
2x = 60
----------------
∴ x = 30 km/hr
Thus, the speed of the person in the still water is → 30 km/hr.
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