A kayaker needs to paddle north across a 100-m-wide harbor. the tide is going out, creating a tidal current that flows to the east at 2.0 m/s. the kayaker can paddle with a speed of 3.0 m/s.

Question

Jayden Oliver

Mathematics

13 August, 17:23

A kayaker needs to paddle north across a 100-m-wide harbor. the tide is going out, creating a tidal current that flows to the east at 2.0 m/s. the kayaker can paddle with a speed of 3.0 m/s.

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Kaylyn Lewis · Answer 1

The velocity or speed of the kayaker going north at a speed of 3 m/s and that of the current going east at a speed of 2 m/s create a resultant speed of √13 m/s. The new distance that has to be traveled by the kayaker in order to move 100 m north is calculated through the equation,

3 / √13 = 100 / x

The value of x is 120 m. The total time it will take for the kayaker to reach the destination is,

t = 120 / √13 = 33.33 s