Random Puzzles 

Workings

Hint
The 4^th word begins with the letter M.

Answers
ap--e = apple (PL) b-a-e = brake (RK) bo--d = boxed (XE) -an-c = manic (MI) -ro-e = froze (FZ) --ell = dwell (DW) -ra-y = gravy (GV) bu-c- = bunch (NH) -o-ra = cobra (CB) -umb- = jumbo (JO) s-ua- = squat (QT) lo--l = loyal (YA) g-es- = guess (US)
Alternative Answers
Apple, brake, boxed, manic, froze, swell, gravy, bunch, cobra, jumbo, squad, loyal, guest.

Can you find another?

Workings

Hint
How old could Glen be?

Answer
Name    Age    Chess  Croquet
Dale    15     3      1
Emery   16     1      4
Frankie 18     2      2
Glen    19     4      3

Reasoning
The possible ages are: 15, 16, 18, 19.

Breaking the clues down, and numbering them:
Frankie beat Glen in chess. Dale came third (chess). The 16-year-old won (chess). Frankie came second in croquet. The 15-year-old won (croquet). Dale beat the 18-year-old (croquet). The 19-year-old came third (croquet). Emery is 3 years younger than Glen. The person who came last in chess came third in croquet. Only one person got the same position in both games.
By (4), Frankie came 2^nd in croquet.
Name    Age    Chess  Croquet
Dale
Emery
Frankie               2
Glen

By (2), Dale came 3^rd in chess.
Name    Age    Chess  Croquet
Dale           3
Emery
Frankie               2
Glen

By (8), Emery is 15 or 16, and Glen is 18 or 19.

By (9), the person who came 4^th in chess, came 3^rd in croquet, and by (7), they are 19. This can't be Dale (3^rd in chess), or Frankie (2^nd in croquet), or Emery (aged 15 or 16), so it must be Glen.
Name    Age    Chess  Croquet
Dale           3
Emery
Frankie               2
Glen    19     4      3

By (6), Dale can't have been 4^th in croquet, so must be 1^st. Leaving Emery in 4^th.
Name    Age    Chess  Croquet
Dale           3      1
Emery                 4
Frankie               2
Glen    19     4      3

By (10), only one person got the same position in both games, this can't be Emery 4^th in both (as Glen is already 4^th in chess), so must be Frank, 2^nd in both. Leaving Emery 1^st in chess.
Name    Age    Chess  Croquet
Dale           3      1
Emery          1      4
Frankie        2      2
Glen    19     4      3

By (3) and (5) we know the ages of the winners in each competition, and Frankie is therefore 18.
Name    Age    Chess  Croquet
Dale    15     3      1
Emery   16     1      4
Frankie 18     2      2
Glen    19     4      3

Workings

Hint
Vowels (AEIOU) and consonants are each worth a different number of miles.

Answer
2,200 miles.

Vowels (AEIOU) are worth 300 miles and consonants are worth 200 miles.

Double-Checking
Argentina has 4 vowels (AEIA = 4 x 300), and 5 consonants (RGNTN = 5 x 200), for a total of 1,200 + 1,000 = 1,200 miles.

Workings

Hint
The word begins with the letter A.

Answer
Arm.

Double-Checking
swarm army alarm farm warm