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!

ANSWER

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)

Logic Puzzles