You could, for example, walk / run a 6K, then a 7K, etc. up to a 10K. Then having satisfied yourself that you can do the distance somehow, up the percentage of running vs. walking for further improvement. Or you could walk the uphills and trot everything else, as another approach. Plenty of ways to skin this cat...
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2007 QR Lucero
2005 Cervelo Soloist