Introduction

__Introduction__
=Island of Truthtellers and Liars WebQuest=

Amelia was flying solo across the Pacific Ocean when she encountered engine trouble. Luckily she spotted the Island of Truthtellers and Liars and was able to land safely on the beach. Her guidebook only had a brief description of the island: The island is sixty miles long and twenty-nine miles wide. A range of inland mountains run the length of the island. The climate is pleasant throughout the year. The island has only one city, the capital, Quandary. The population is made up entirely two groups of people, the truthtellers and the liars. The truthtellers can only tell the truth and the liars can on tell lies. The natives can recognize whether another person is a truthteller or a liar, but an outsider must decide for themselves. The actual population is unknown, since no consensus has been proven reliable.

Amelia decides it would be best for her to reach the capital so she can order parts for her plane. She has three encounters with island natives and asks them for directions. It is your task to help Amelia determine who is telling her the truth and who is not.

Use your logic and knowledge of truth tables to help Amelia make it to the capital. The task is divided into three smaller roles, one for each encounter that Amelia has with the native inhabitants.

For each encounter, you will read the conversation that Amelia has with the natives. Whether the truth is intuitive to you or not, you are required to build a truth table that expresses the logic behind your answer.

Help Amelia get to the capital and order her parts in the shortest amount time!

Each encounter is not dependent upon the other, so you will work on the roles separately. Assume that if she chooses the wrong road at encounter 1, she will eventually make it to the second encounter, and if she takes the wrong bus at encounter 2, she will eventually make it to the capital where she will need your help with encounter 3.