Random Puzzles 

Workings

Hint
How much of a warren each rabbit dig in one hour?

Answer
2 hours.

Reasoning
The small rabbit can dig a warren in nine hours, so digs ¹/₉ in one hour.

The medium rabbit can dig a warren in 6 hours, so digs ¹/₆ in one hour.

The large rabbit can dig a warren in four and a half hours, so digs ¹/_4.5 in one hour.

   1 Hour = ¹/₉ + ¹/₆ + ¹/_4.5

To make the denominators all the same, we can multiply through by ¹⁸/₁₈ to give:

   1 Hour = ²/₁₈ + ³/₁₈ + ⁴/₁₈

   1 Hour = ⁹/₁₈

   1 Hour = ¹/₂

So in one hour, they have dug half a warren, the whole warren will therefore take 2 hours.

Workings

Hint
The first letters of one half of the words are: A, B, D, C, F, D, H, A, I.

Answer
ABUNDANT   + SCARCE
BRAVERY    + COWARDICE
DANGER     + SAFETY
CONTRACT   + EXPAND
FAMOUS     + UNKNOWN
DISTRIBUTE + GATHER
HORIZONTAL + VERTICAL
ACCIDENTAL + INTENTIONAL
IGNORANCE  + KNOWLEDGE

Workings

Hint
There are currently two answers. One answer contains 7 letters, and starts with the letter B. The other contains 4 letters, and starts with the letter S.

Answer
While driving their car at a reckless speed, the driver was distracted by their dog barking. Luckily, they managed to complete the braking manoeuvre without crashing.

Alternative Answer
While driving their car at a reckless speed, the driver was distracted by their dog Spot. Luckily, they managed to complete the stop manoeuvre without crashing.

Workings

Hint
In order, the added letters spell TELESCOPE.

Answers
The added letters spell TELESCOPE.
herb + t becomes berth bang + e becomes began keen + l becomes kneel suit + e becomes suite quad + s becomes squad whey + c becomes chewy cell + o becomes cello toil + p becomes pilot wild + e becomes wield