Camille can swim against the current at 1.5m/s and with the current at 3.5m/s. Write and equation that expresses each fact. How fast can she swim in still water?
v - c = 1.5
v + c = 3.5
where v is Camille's speed in still water, c is the speed of the current
Solve for v
1.0
89n
To express Camille's swimming speeds against and with the current, we can use the following equations:
1. She can swim against the current at a speed of 1.5 m/s.
- Let's represent this speed as V_against.
2. She can swim with the current at a speed of 3.5 m/s.
- Let's represent this speed as V_with.
Now, we need to calculate Camille's speed in still water, which is the speed at which she would swim if there were no current. Let's represent this speed as V_still.
In still water, Camille's speed against the current and with the current will be equal, denoted by V_against = V_still = V_with.
Hence, the equation that expresses her swimming speed in still water is:
V_still = V_against = V_with
Therefore, Camille can swim at a speed of 3.5 m/s in still water.