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. If Keiko's speed is \(x\) meters per second, the original answer is in the form \(\frac{k\pi}{m}\). Please find the value of \(k + m\).

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