Random Puzzles 

Workings

Hint
Only the first letter is important.

Answer
3,000 miles.

Take the alphabetic position of the first letter, halve, and then multiply by 1000.

You could also multiply by 500 instead.

Double-Checking
F is the 6^th letter of the alphabet, halving gives 3, multiplying by 1000 gives 6000.

Workings

Hint
Find how many sheep Drew has first.

Answer
3.

Reasoning
If we denote Alex by A, Billie by B, Charlie by C, and Drew by D and number the clues.

If Alex had three more sheep, then he'd have one fewer sheep than Billie. Whereas Drew has the same number as the other three shepherds put together. If Charlie had three fewer sheep, he'd have exactly three times the number of Alex. If they were evenly distributed, they'd each have eleven sheep.
By (4):
   A + B + C + D = 44

And, by (2), these are shared equally between A + B + C and D.

So D = 22, and A + B + C = 22 (*)

By (1):
   A + 3 = B – 1
   A + 4 = B

By (3):
   C – 3 = 3A
   C     = 3A + 3

Substitute B and C in (*):

A + (A+4) + (3A+3) = 22
            5A + 7 = 22
                5A = 15
                 A = 3

And, B = 7, C = 12.

Double-Checking
A = 3, B = 7, C = 12, D = 22.

(1) 3 + 3 = 7 – 1
(2) 3 + 7 + 12 = 22
(3) 12 – 3 = 3 x 3
(4) 3 + 7 + 12 + 22 = 44, and 44 ÷ 4 = 11 each.

Workings

Hint
One possible answer begins with the letter A.

Answer
ark: bark, dark, market, parking, shark.

or:

ill: bill, dill, millet, pilling, shill.

Workings

Hint
The first two words begin with A and S.

Answer
Actions speak louder than words.