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Workings

Hint
The country spans more than one word.

Answer
France.

We told Cliff to run, 'Run Cliff, run'. So ClifF RAN, CElebrating his recent victory in the interdepartmental relay race.

Workings

Hint
Adding the speeds won't work.

Answer
205 mph.

Reasoning
If we take the number of miles in a lap to be L miles and use Time = Distance ÷ Speed.

The first ²/₅ are covered at 123 mph. Therefore, the time taken was [(²/₅) x L] ÷ 123 hours.

The next ²/₅ are covered at 164 mph. Therefore, the time taken was [(²/₅) x L] ÷ 164 hours.

The last ¹/₅ is covered at y mph. Therefore, the time taken was [(¹/₅) x L] ÷ y hours.

The entire trip is covered at an average of 150 mph, and we can conclude that:
 2L      2L      L     L
————— + ————— + ——— = ———
5x123   5x164    5y   150

Rearranging and simplifying gives:
 1     1    2     2
——— = —— - ——— - ———
 y    30   123   164

That means that y = 1 ÷ (¹/₃₀ − ²/₁₂₃ − ²/₁₆₄)

Using a calculator gives y = 205.

Workings

Hint
Can the fractions be simplified?

Answer
667.

Reasoning
3      8      1
—  of  —  of  —  of 2001
4      9      2

which simplifies to:
24
——  of 2001
72

which simplifies to:
1
—  of 2001
3

Giving 667.

Workings

Hint
Consonants and vowels (AEIOU) are each worth something.

Answer
12 miles away.

Consonants are worth 2 and vowels (AEIOU) are worth 3.

Double-Checking
York
   3C + 1V = 3 x 2 + 3 = 9
London
   4C + 2V = 4 x 2 + 2 x 3 = 14
Manchester
   7C + 3V = 7 x 2 + 3 x 3 = 23
Leeds
   3C + 2V = 3 x 2 + 2 x 3 = 12