Random Puzzles 

Workings

Hint
The words begin with the letters R, S, T.

Answer
RADII, SKIING, TAXIING.

You could also have GENII.

Workings

Hint
Each sentence hides a single word.

Answer
Badgers rapidly excavate a mound.

Reasoning
The initial letters of the words spell BREAM, a fish. The other sentences all spell birds.
    SWAN  = Sam wanted another newt.     EAGLE = Every artistic giraffe likes elephants.  *  BREAM = Badgers rapidly excavate a mound.     WREN  = Wild rabbits enjoy nature.     DUCK  = Dale understood cute kittens.     CRANE = Casual restless aardvarks need exercise.

Workings

Hint
How many rooms can Alex clear in 36 hours?

Answer
12 hours.

Reasoning
In 36 hours, Alex could empty 2 lots of bookshelves, Billie could also empty 2 lots of bookshelves, and Drew could refill 1 lot of bookshelves.

So, 2 + 2 – 1 = 3 lots of bookshelves in 36 hours. Which is 12 hours for one lot of bookshelves.

Alternative Reasoning
Alex and Billie can each empty ¹/₁₈ of the bookshelves in 1 hour, but Drew will refill ¹/₃₆ of the bookshelves in one hour.

So in one hour we have ¹/₁₈ + ¹/₁₈ – ¹/₃₆ = ¹/₁₂.

So it would take 12 hours to empty the bookshelves.

Workings

Hint
The answer involves the alphabet in some way.

Answer
Edward.

Reasoning
The last letters of the names are in alphabetical order.
  Joshu-a
   Cale-b
    Eri-c
* Edwar-d
   Vinc-e
   Clif-f
   Crai-g