A swimmer speed in the direction of flow of water is 60km/hr .against the direction of flow of water is 8km/hr calculate the swimmer speed in still water and velocity of flow of river
What is sjpuc?
If the swimmer's speed is s and the water's speed is w, we have
s+w = 60
s-w = 8
I think you can now find s and w, no?
To calculate the swimmer's speed in still water and the velocity of the river flow, we can use the concept of relative velocity.
Let's assume the swimmer's speed in still water is V and the velocity of the river flow is R.
When the swimmer is swimming in the direction of the flow of water, their effective speed increases, so we can calculate it using the formula:
Effective speed = Speed in still water + Velocity of river flow
Given that the effective speed in the direction of the flow of water is 60 km/hr, we have:
60 km/hr = V + R ----(1)
Similarly, when the swimmer is swimming against the flow of water, their effective speed decreases, so we can calculate it using the formula:
Effective speed = Speed in still water - Velocity of river flow
Given that the effective speed against the flow of water is 8 km/hr, we have:
8 km/hr = V - R ----(2)
Now, we need to solve these two equations simultaneously to find the values of V and R.
Let's solve these equations:
From equation (2), we can express V in terms of R:
V = 8 km/hr + R
Substituting this value of V in equation (1):
60 km/hr = (8 km/hr + R) + R
60 km/hr = 8 km/hr + 2R
52 km/hr = 2R
R = 26 km/hr
Now, substituting this value of R in equation (2):
V = 8 km/hr + 26 km/hr
V = 34 km/hr
Therefore, the swimmer's speed in still water is 34 km/hr, and the velocity of the river flow is 26 km/hr.