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Workings

Hint
The country spans more than one word.

Answer
England.

Alex's aches and pains felt worse because of swollEN GLANDs that had flared up during the night, perhaps a tonic would help?

Workings

Hint
Start by looking at the consonants and vowels (AEIOU).

Answer
65 tonnes.

Vowels (AEIOU) are worth 3 and consonants are worth 5, added together and then multiplied by the number of ingots.

So TIN has 1 vowel (worth 3) and 2 consonants (worth 10).

Added gives 13, then multiplied by 5 ingots = 65.

Workings

Hint
Start by filling the 9 gallon container, and then use that to fill the 4 gallon container.

Answer
Here are the contents of the containers after each stage:
A   B
9   0      fill A
5   4      fill B from A
5   0      empty B
1   4      fill B from A
1   0      empty B
0   1      fill B from A
9   1      fill A
6   4      fill B from A
6   0      empty B

This leaves 6 gallons in container A.

Workings

Hint
How many watch minutes pass in a real hour?

Answer
8:10am.

Reasoning
The watch now shows 8:26am, so we know that 8 x 60 + 26 = 506 watch minutes have passed.

Since the watch is gaining 6 minutes every hour, for every real hour that has passed, the watch will show 66 minutes.

So, 506 ÷ 66 ≈ 7.666 real hours have passed.

This equals 460 minutes, which is 7 hours and 40 minutes = 7:40am.

The watch stopped 30 minutes ago, therefore the time must now be 8:10am.