Richard C. Grosser

A Difficult Puzzle
  There is a strange far-off land that is inhabited by people who believe that all statements are either absolutely true or absolutely false. They also do not allow
strangers to enter their lands under pain of death. One day an explorer stumbles upon this strange land. He is promptly captured and taken to their chief. The explorer is informed that he will be allowed to make a statement, the chief will then determine if the statement is true or false. If he determines that it is true, the explorer will die a swift and painless death by poison; however if he decides that the statement is false the explorer will suffer a slow and painful death by fire. The explorer makes his statement which instantly causes the chief to scream out in anguish and order the explorer to be escorted to the border and released. What did the explorer say? There is only one possible answer.
 
A Math Problem

A car travels up a hill that is 1/2 mile long at a constant speed of 30 Mph. How fast must the car go down the 1/2 mile hill in order to average 60 Mph for the entire 1 mile trip?
     
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