Minimize Time Optimization Algorithm

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Hi,
From our home at
(0, 0), we go to point (10, 10) taking minimal time. There are three land. The area
A= {(x, y) : 2< x < 6, y ∈ R} where we can move with speed of 2 km/h.
Then, second area is
B = {(x, y) : 6≤ x ≤ 8, y ∈ R}
in secon area speed at 1 km/h. All other area is C, where we can proceed at 8 km/h.
Formalize the underlying optimization problem, variables and constraints, give a suitable objective function such as time. Which algorithm can I use?
Best regards.

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