Chapter 2.5 Puzzle
This assignment is due 48 hours after the Chapter Test is
"The Twin Problem"
- Puzzle solutions are due by 5:00 PM two days after the Chapter
- Puzzles are worth 5 points of extra credit each.
- Answers must be accompanied by valid reasoning. Just like
the tests, the answer alone isn't enough!
- Please enter your solution in the text area at the bottom
of this page. DON'T FORGET TO GIVE YOUR NAME!
There is a bit of trivia about the author of your textbook,
Dr. James Stewart, that very few people know. He has an evil
twin sister named Onad. Although he loves his sister dearly she
dislikes him, and tries to be different from him in all things.
Last winter, they both went on vacation. Dr. Stewart went
to Hawaii. Onad had planned on going to Aruba, but decided against
it. She hates her brother so much that she was afraid there would
be a chance that they might be experiencing the same temperature
at the same time, and that prospect was distasteful to her. So
she decided to vacation in northern Alaska.
After a few days, Dr. Stewart received a call: "this
is Onad. I am very cold and uncomfortable here. That's good,
since you are undoubtedly warm and comfortable, and I want us
to be different. But I'm not sure why I should be the one in
northern Alaska. I think we should switch places for the last
half of our trip."
"It is only fair," he agreed.
So they each traveled again. Dr. Stewart took a trip from
Hawaii to Alaska, while Onad took a trip from Alaska to Hawaii.
They each traveled their own different routes, perhaps stopping
at different places along the way. Eventually, they had reversed
locations. Dr. Stewart was shivering in Alaska, Onad in Hawaii,
warm and happy. She received a call from her brother.
"Hi, Onad. Guess what? At some time during our travels,
we were experiencing exactly the same temperature at the same
time. So HA!"
Is Dr. Stewart right? Has Good triumphed over Evil? He would
try to write out a proof of his statement, but his hands are
too frozen to grasp a pencil. Help him out. Either prove him
right, or prove him wrong, using a mathematical argument.
Don't forget to explain your answer
as clearly as possible.
Please type LAST name:
Please type your Student ID Number:
no help from anyone on this assignment.
Type your answer into the box and click the submit button.
The time and date of your entry will be recorded.
This site is made possible by funding
from the National Science Foundation (DUE-9981111).