Puzzle 197
Last week, I travelled from London to Stoke.
On the first day, I travelled one half of the distance.
On day two, I travelled one third of the remaining distance.
On day three, I travelled three quarters of the remaining distance.
Yesterday I travelled one half of the remaining distance.
I now have 5 miles left to travel.
How far is it from Stoke to London in total?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
120 miles.
Reasoning
I now have 5 miles left to travel, so I must have travelled 5 miles yesterday.
At the end of Day 3, I had 10 miles left to travel, so I must have had 40 miles left at the start of the Day 3.
At the end of Day 2, I had 40 miles left to travel, so I must have had 60 miles left at the start of the Day 2.
At the end of Day 1, I had 60 miles left to travel, so I must have had 120 miles left at the start of the Day 1.
Double-Checking
On the Day 1, I travelled 60 miles, leaving 60 miles.
On Day 2, I travelled 20 miles, leaving 40 miles.
On Day 3, I travelled 30 miles, leaving 10 miles.
Yesterday, I travelled 5 miles, leaving 5 miles.
Puzzle 198
Can you find every occurrence of the word FEBRUARY that appears in this grid (horizontally, vertically, or diagonally)?
The hint will reveal the number of times it occurs, but where are they?
Note: this puzzle is not interactive, and the letters cannot be selected.
Puzzle Copyright © Kevin Stone
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Hint
The word FEBRUARY appears 21 times.
Answer
The word FEBRUARY appears 21 times.
Puzzle 199
If a bottle weighs eight ounces plus half a bottle …
… what is the weight of a bottle and a half?
Puzzle Copyright © Kevin Stone
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Hint
Find the weight of the bottle first.
Answer
24 ounces.
The bottle weighs 16 ounces.
Reasoning
As a bottle (B) weighs eight ounces plus half a bottle, we can write this as:
B = 8 + 1/2 x B
1/2 x B = 8
B = 16
As the bottle weighs 16 ounces, a bottle and a half weighs 16 + 8 = 24 ounces.
Puzzle 200
You can replace the dashes with the same four-letter word, and create two new words, one that starts with ARM, and one that ends in ING.
Can you find all possible four-letter words that work?
arm----
----ing
Puzzle Copyright © Kevin Stone
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Hint
There are 4 possible answers.
Answer
Band, load, lock, and rest, all create new words:
armband and banding
armload and loading
armlock and locking
armrest and resting
Note
Some dictionaries also allow ARMRACK, but others don't. So RACK is a unofficial possible answer.
