Logic Puzzles

# The Runner's Refreshment

Difficulty:

A man runs

**n**times round a circular track whose radius is**t**miles. He drinks**s**quarts of beer for every mile that he runs. Prove that he will only need one quart!As the radius is

**t**, the diameter is**2t**. The diameter multiplied by**π**(the Greek letter pi) gives us the circumference,**2tπ**miles. As he goes round**n**times,**2tπn**equals the number of miles run, and, as he drinks**s**quarts per mile, he consumes**2tπns**quarts. We can put the factors in any order: therefore the answer is**2πnts**(two pints) or one quart.See also:

• The Birth Of Boadicea (Difficulty: 4)

• Apple Transactions (Difficulty: 2)

• More Bicycling (Difficulty: 4)

• Mistaking The Hands (Difficulty: 3)

• Finding A Birthday (Difficulty: 4)

• Dividing The Legacy (Difficulty: 2)

• The Seven Applewomen (Difficulty: 4)

• Their Ages (Difficulty: 2)