Below is a map of the BrainBashers detention facility.
There are 9 guards, A to I, who are in charge of a particular number of cells.
The guards only guard cells that they can see in a continuous straight line, either horizontally or vertically, and each cell is only protected by one guard.
The numbers represent how many cells each guard is in charge of, they are of course in charge of the cell they are currently in.
Can you work out which guards are in charge of which cells?
A-7
B-7
C-5
D-1
E-5
F-3
G-6
H-3
I-12
Note: this puzzle is not interactive, and the squares cannot be clicked.
Reasoning
In 36 hours, Alex could empty 2 lots of bookshelves, Billie could also empty 2 lots of bookshelves, and Drew could refill 1 lot of bookshelves.
So, 2 + 2 − 1 = 3 lots of bookshelves in 36 hours. Which is 12 hours for one lot of bookshelves.
Alternative Reasoning
Alex and Billie can each empty 1/18 of the bookshelves in 1 hour, but Drew will refill 1/36 of the bookshelves in one hour.
So in one hour we have 1/18 + 1/18 − 1/36 = 1/12.
So it would take 12 hours to empty the bookshelves.
Hint
There are 1,760 yards in a mile, 3 feet in a yard, and 12 inches in a foot.
Answer
Inches in a mile.
Reasoning
There are 1,760 yards in a mile, 3 feet in a yard, and 12 inches in a foot.
So:
1 mile = 1760 yards = 1760 x 3 feet = 1760 x 3 x 12 inches = 63,360 inches in a mile.
And:
There are approximately 1,000 x 52 = 52,000 Sundays in a thousand years. Depending on the day of the week the first day of the year falls, there are actually either 52,177 or 52,178 Sundays in a thousand years.
