HMMT November 2009 F4
- General 2
- Answer
You are given a checkerboard with squares alternately shaded black and white. The bottomleft square is white. Each square has side length 1 unit. You can normally travel on this board at a speed of 2 units per second, but while you travel through the interior (not the boundary) of a black square, you are slowed down to 1 unit per second. What is the shortest time it takes to travel from the bottom-left corner to the top-right corner of the board?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{1+5 \sqrt{2}}{2}
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