Keiko walks once around a track at exactly the same constant speed every day. The sides of the track are straight, and the ends are semicircles. The track has a width of \(6\) meters, and it takes her \(36\) seconds longer to walk around the outside edge of the track than around the inside edge. The original answer for Keiko's speed is in the format \(\frac{k\pi}{m}\), where k and m are integers. Please find the value of k + m.

Let's think step by step and output the final answer within \boxed{}.
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