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Created November 15, 2013 18:30
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ROTW: 10/15/2013
You must answer both questions to win this week:
A) Two boys walking in the woods decided to take a shortcut through a railroad tunnel.
When they had walked 2/3 of the way through the tunnel, their worst fears were
realized. A train was coming in the opposite direction, nearing the tunnel entrance.
The boys panicked and each ran for a different end of the tunnel. Both boys ran
at the same speed, 10 miles per hour. Each boy escaped from the tunnel just at the instant
that the train would have squashed him into the rails. Assuming the train's speed was
constant, and both boys were capable of instantaneous reaction, and acceleration,
how fast was the train going?
B) There are 8 pairs of cards ranked 2 through 9 in this game of Concentration. Given
the hints below and the two cards that are overturned, can you figure out where all
the cards are?
Here is what the board looks like to start (where 'X' is a covered card):
X X X X
X X 9 of Hearts X
8 of Clubs X X X
X X X X
1. No pairs appear in the same row or column.
2. No pairs appear in the same long diagnal.
3. The fourth column has only even numbers.
4. The second column has only odd numbers.
5. The first row contains the number 2 to 5.
6. The second row contains the numbers 6 to 9.
7. The corners contain the numbers 2 to 5.
8. There is a 3 in the upper left corner and a 4 in the lower right corner.
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