The set-up is the hard part . . . I'll leave the rest to you.
A bushwalker can walk at 5 km/h through clear land and 3 km/h through bushland.
If she has to get from point A to point B following a route indicated in the image,
find the value of x so that the route is covered in a minimum time.Code:* B | | 3-x | * C * | ____ * | √x²+4 * | x * | * | A * - - - - - - - - * D 2
She will walk from A to C through bushland.
. . From right triangle , we have: . km.
At 3 km/h, it will take her: . hours.
Then she will walk from C to B through clear land.
. . At 5 km/h, this will take her: . hours.
Hence, her total time is: .
. . and that is the function you must minimize.