A man wants to reach from A to the opposite corner of the square C (Figure). The sides of the square are 100 m each. A central square of 50 m × 50 m is filed with sand. Outside this square, he can walk at a speed 
. In the central square, he can walk only at a speed of 
(v < A). 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?
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Text Solution
Verified by ExpertsB
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Consider the straight line path APQC through the sand. Time taken to go from A to C via this path
The shortest path outside the sand will be ARC. Time taken to go from A to C via this path
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