Hint: Try writing each statement as 'finished before'.
Answer: Betty won, then Dave, Adam, Charles and Eileen.
By placing the person who finished higher to the left we have:
1. Dave finished before Adam Dave > Adam 2. Eileen finished after Betty Betty > Eileen 3. Adam finished before Charles Adam > Charles 4. Eileen finished after Dave Dave > Eileen 5. Betty finished before Adam Betty > Adam 6. Dave finished after Betty Betty > Dave 7. Charles finished before Eileen Charles > Eileen
From 1 and 3:
Dave > Adam > Charles
Dave > Adam > Charles > Eileen
Betty > Dave > Adam > Charles > Eileen
Which is the final placing for all of the players, and can be double checked with the remaining clues.
Hint: Just look at the first few characters of each word.
The first three letters are the same as the first three letters of the months in order.
If you are in a dark room with a candle, a wood stove and a gas lamp.
You only have one match, so what do you light first?
Hint: The answer is obvious once you know.
Answer: The match!