Random Puzzles 

Workings

Hint
The two words are animal related.

Answer
CAT and DOG.
C O D
A G O
T A G

Or CAT and PET:
C O P
A G E
T A T

Workings

Hint
Try working backwards.

Answer
175 miles.

The total distance was 180 miles, but as I still had 5 miles to go, the required answer is 175 miles.

Reasoning
Let's try working backwards.

Day 4: I travelled ³/₄, which means that the other ¹/₄ was 5 miles – so 20 miles were left at the start of day four.

Day 3: I travelled ²/₃, which means that the other ¹/₃ was 20 miles – so 60 miles were left at the start of day three.

Day 2: I travelled ¹/₂, which means that the other ¹/₂ was 60 miles – so 120 miles were left at the start of day two.

Day 1: I travelled ¹/₃, which means that the other ²/₃ was 120 miles – so 180 miles were ahead at the start of day one.

The full distance was therefore 180 miles, but we were asked how many miles I had travelled so far, and as I still had 5 to go the answer is 175 miles.

Double-Checking
Start distance: 180 miles.

Day 1: I travelled ¹/₃ of the distance (60 miles), leaving 120 miles.

Day 2: I travelled ¹/₂ of the distance (60 miles), leaving 60 miles.

Day 3: I travelled ²/₃ of the distance (40 miles), leaving 20 miles.

Day 4: I travelled ³/₄ of the distance (15 miles), leaving 5 miles.

Workings

Hint
From common children's song.

Answer
CPHTA.

From:

   Humpty Dumpty sat on a wall.
   Humpty Dumpty had a great fall.
   All the king's horses and all the king's men
   Couldn't put Humpty together again.

Workings

Hint
Remember that each of them told the truth in one of their statements, but lied in the other.

Answer
Billie robbed the bank.

Reasoning
We know that each of them told the truth in one of the statements and lied in the other.

So according to Ashley, as one of the statements is false, it must have been either Drew or Billie.

If it was Drew, then Billie's statements would both be true, which isn't allowed.

Therefore, it was Billie, which agrees with Casey and Drew's statements.