
Peegue's Puzzle Page
Welcome to the 17^{th} edition of Peegue's Puzze Page. This time around, all of Wonderland has gotten into the spirit of the competition and is hosting a very special Wonderland Olympics, featuring such exciting events as "Scritter Chasing", "Turtle Hopping" and the (very dangerous) "Chomper Toss".
This  it turns out  is not without its problems. Here are three of them for you to figure out. Enjoy!


Problem #1
The organizers of the Wonderland Olympics are trying to decide how many
homes to build to house the Wonderland Athletes during the competition.
The only stipulation is that each home must contain the same number of
athletes.
After the homes are built, the organizers realize that they cannot house
the same number of athletes in each home. When they try to put six
athletes into each home, one athlete is left over.
All seems lost, when the organizers realize that one home needs to be
used for the organizers themselves. With one home removed, the other
athletes can now all fit into the remaining homes, each home now
containing the same number of athletes. Assuming there remain at least
two homes to house athletes, how many athletes are coming to the
Wonderland Olympics?
Problem #2
One of the events, the Obstacle Course, contains a 30 tile long section
with a moving conveyor belt. With the belt turned off, Stinky can run
the entire distance in just 12 seconds. With the belt turned on (and Stinky running against the direction of its movement), it
takes Stinky 30 seconds to run the distance. How long will it take
Stinky on the return trip, if the belt is still running in the same
direction?
Problem #3
In total, there were twelve events the Wonderland Olympics. Athletes
came from three different “teams”: Wondertown, Forest’s End, and
Wonderfalls.
At the end of the competition, the organizers tabulated the number of
Gold, Silver, and Bronze medals that each team had won for all twelve
events. For example, Wondertown completed the Wonderland Olympics with
exactly one Bronze medal. Forest’s End came out with having won exactly
two Gold medals.
When all was said and done, the organizers noticed something odd. Each
of the three teams won exactly the same number of medals, and no two
numbers in the grid were the same.
Can you figure out who won how many Gold, Silver, and Bronze medals in
total?
These problems might take some time to work out, so don't give up too easily. Make time on a Sunday morning, grab a cup of tea or coffee, put your thinking cap on, and let the puzzles percolate in your mind.
If you think you have the answer (or you gulp! give up), you can send Peegue an email at
peegue@midnightsynergy.com. You will receive an automated reply with the link to the solutions. (Make sure that you add Peegue to your addressbook if you use a spamfilter, so that the reply doesn't land in your junk folder).
Peegue is also always interested in hearing about new puzzles from all around the world. If you've come across an interesting puzzle that you think Peegue would like to know about, just email us.
 