A man wants to reach from A to the opposite corner of the square C(Figure). The sides of the square are
100m. A central square of
50m×50m is filled with sand. Outside this square, he can walk at a speed 1 m/s. In the central square, he can walk only at a speed of
vm/s(v<1). What is smallest value of v for which he can reach faster via a straight path through the sand than any path in the square outside the sand?