A sea otter swims toward an inlet with a speed of 5.0 m/s as a current of1.0 m/s flows in the opposite direction. How long will it take the sea otterto swim 100. m?*

Respuesta :

Given:

The speed of sea otter is

[tex]v_s=5\text{ m/s}[/tex]

The speed of the current is

[tex]v_c=\text{ 1 m/s}[/tex]

in the opposite direction.

The distance is d = 100 m

To find the time taken by sea otter to cover a distance d = 100 m.

Explanation:

The total speed of sea otter is

[tex]\begin{gathered} v_=v_s-v_c \\ =5-1 \\ =4\text{ m/s} \end{gathered}[/tex]

The time taken will be

[tex]\begin{gathered} t=\frac{d}{v} \\ =\frac{100\text{ m}}{4\text{ m/s}} \\ =25\text{ s} \end{gathered}[/tex]

Thus, the time taken is 25 s to swim 100 m.