a swimmer's speed in the direction of flow of a river is 12km/h.against the direction of the flow of the river the swimmer's speed is 6km/h.calculate the swimmer's speed in still water and the velocity of the river flow
Answers
Hi , here is yo answer
Let the swimmers speed in still water be x km/h
and
let the speed of water be y km/h
Swimmer's speed in the direction of current = x+y km/h=12km/h
Swimmer's speed opposite to the direction of current = x-y km/h=6km/h
x + y = 12
x - y = 6
-------------------- (adding both)
2x + 0 = 18
⇒x = 18/2= 9
x+y=12
⇒y = 12-x = 12-9 = 3
∴Speed of man in still water = 9 km / h
Speed of stream = 3 km / h
Answer:
Swimmer's speed in still water = 9 km/hr
Velocity of the river flow = 3km/hr
Explanation:
- Let x be the speed of the still water.
c be the speed of the river.
- As per the given data,
Swimmer's speed in the direction of flow of water is x+c = 12 km/hr
Swimmer's speed against the direction flow of water is x-c = 6 km/hr
By solving the two equations
x+c = 12 --------(i)
x-c = 6 --------(ii)
add the equations (i) and (ii)
2x = 18
x = 9
by substituting x = 9 value in (i)
9+c = 12
c = 12-9
c = 3
Hence,
Swimmer's speed in still water = 9 km/hr
Velocity of the river flow = 3km/hr
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