As part of an endurance race, Stephanie needs to swim from X to Y across a wide river. Stephanie swims at 1:8 m s1 in still water. The river flows with a consistent current of 0:3 m s1 as shown. a Find the distance from X to Y. b In which direction should Stephanie aim so that the current will push her onto a path directly towards Y? c Find the time Stephanie will take to cross the river

Problem 4

As part of an endurance race, Stephanie needs to swim from X to Y across a wide river. Stephanie swims at 1:8 m s1 in still water. The river flows with a consistent current of 0:3 m s1 as shown.

a Find the distance from X to Y. ?

b In which direction should Stephanie aim so that the current will push her onto a path directly towards Y?

c Find the time Stephanie will take to cross the river?

Step-by-solution

Step 1of 4

a) Consider the figure,

The distance from X to Y is d

By pythagoras theorem ,

That is

So the distance from X to Y is 82.5 meters.