Random Puzzles 

Workings

Hints
The first letters of the words are: T, I, B, O, S, A, L, R, C, L.

Answers
Turquoise Indigo Beige Olive Scarlet Aquamarine Lemon Red Chestnut Lavender

Workings

Hint
How many large pipes are required to drain the reservoir in 24 hours?

Answer
21 hours and 36 minutes.

Reasoning
Looking at the first clue:
   in 12 hours, 6 large pipes can drain 1 reservoir
   in 24 hours, 6 large pipes can drain 2 reservoirs
   in 24 hours, 3 large pipes can drain 1 reservoir (*)

Looking at the second clue:
   in 8 hours, 3 large + 9 small pipes can drain 1 reservoir
   in 24 hours, 3 large + 9 small pipes can drain 3 reservoirs

But, by (*), we know that in those 24 hours, 3 large pipes can drain 1 of those reservoirs.

Therefore, the other 2 reservoirs can be drained by the small pipes on their own:
   in 24 hours, 9 small pipes can drain 2 reservoirs
   in 24 hours, 1 small pipe can drain ²/₉ reservoirs

multiply the hours by 9:
   in 216 hours, 1 small pipe can drain 2 reservoirs
   in 216 hours, 5 small pipes can drain 10 reservoirs

divide the hours by 10:
   in 21.6 hours, 5 small pipes can drain 1 reservoir

21.6 hours = 21 hours and 36 minutes.

Workings

Hints
The first 6 words begin with the letters D, A, Q, S, W, S.

Answers
---amt = dreamt ---nue = avenue ---rtz = quartz ---oze = snooze ---mth = warmth ---iek = shriek ---gry = hungry ---thm = rhythm ---koo = cuckoo ---spy = crispy ---sip = gossip ---lem = emblem ---uid = liquid ---tyr = martyr ---meg = nutmeg

Workings

Hint
Try this with a piece of paper.

Answer
There is no possible way to complete the line, there will always be one edge left, or you have to cross an edge twice.