I think the answer is to walk horizontally along the edge of the rectangle for 71.13m, then walk in a straight line to point B.

Letting $$w = 100$$m (the horizontal distance from A to B) and let $$h = 50$$m (the vertical distance). Let $$x$$ be the number of meters to walk horizontally before going in a straight line.  The total time is:

$$ 
\frac{x}{10\text{km/h}} + \frac{\sqrt{(w-x)^2 + h^2}}{5\text{km/h}}
$$

You can use calculus to find the optimal value of $$x = w - h/\sqrt{3}$$

SimpleStacker

science

You're standing at point A on the border of a rectangular area of size 300x50m.
Within the rectangular area (red), you can move with speed 5 km/h. Outside of it, your speed is 10 km/h.
What's the fastest way you can reach point B?

![drawing](https://i.ibb.co/9pztTQs/pool.png)
