01282019, 07:01 AM  #31  
Join Date: Dec 2017

Re: Typical length of travel
Quote:
Using your rule, it takes ten times as long to search an area that has ten times the diameter. (This holds true regardless of success chance, as you simply roll once per diameter.) However, an area with ten times the diameter is a hundred times as large and should thus take a hundred times as long to search. Consider an extreme example where, for whatever reason, the search check is guaranteed to succeed. Let's also pull a number out of a hat and say that they end up travelling twenty miles per day. With these numbers, searching an areas twenty miles in diameter takes a day. Searching an area with a diameter of 2200 miles takes 110 days. The former area, twenty miles in diameter, is a fifth of Rhode Island. The latter area is the size of the entire United States of America, and is 12,075 times as large as the smaller area (while only takes 110 times as long to search). An increased difficulty in search checks will multiply the time to search either area equally, so the relative fractions remain the same. 

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