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Puzzle 17
Last week I drove from Aardvark to Beeville.
On the first day, I travelled 1⁄3 of the starting distance.
On day two, I travelled 1⁄2 of the remaining distance.
On day three, I travelled 2⁄3 of the remaining distance.
At the end of day four, after travelling 3⁄4 of the remaining distance, I was still 5 miles away from Beeville.
The total distance was 180 miles, but as I still had 5 miles to go, the required answer is 175 miles.
Reasoning
Let's try working backwards.
Day 4: I travelled 3⁄4, which means that the other 1⁄4 was 5 miles, and 20 miles were left at the start of day four.
Day 3: I travelled 2⁄3, which means that the other 1⁄3 was 20 mile, and 60 miles were left at the start of day three.
Day 2: I travelled 1⁄2, which means that the other 1⁄2 was 60 miles, and 120 miles were left at the start of day two.
Day 1: I travelled 1⁄3, which means that the other 2⁄3 was 120 miles, and 180 miles were ahead at the start of day one.
The full distance was therefore 180 miles, but we were asked how many miles I had travelled so far, and as I still had 5 to go the answer is 175 miles.
Double-Checking
Start distance: 180 miles.
Day 1: I travelled 1⁄3 of the distance (60 miles), leaving 120 miles.
Day 2: I travelled 1⁄2 of the distance (60 miles), leaving 60 miles.
Day 3: I travelled 2⁄3 of the distance (40 miles), leaving 20 miles.
Day 4: I travelled 3⁄4 of the distance (15 miles), leaving 5 miles.
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Puzzle 18
Using the clues from below can you find ten words?
Once you have placed the words into the correct order you will find that each word is different from the previous word by only one letter.
For example, DOG may be followed by DIG, etc.
in the back of the netsock materialforestbaby horsehooded robespiral of wirenot hotroasting metalearthy groundnot bad
Hint
'in the back of the net' begins with the letter G.
Answers
good = not bad
wood = forest
wool = sock material
cool = not hot
cowl = hooded robe
coil = spiral of wire
soil = earthy ground
foil = roasting metal
foal = baby horse
goal = in the back of the net
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Puzzle 19
These five business people represented different companies at a recent trade fair. Unfortunately, the hotel they were all due to stay in had accidentally double booked their rooms. They tried other hotels in the area, but all were fully booked. Consequently, they all agreed to share the only two rooms available in the hotel, one twin and one triple.
From the clues, can you work out each person's name, company and official title?
When the five realised their dilemma, they drew straws to see who would share with whom. The outcome for four of them was that the CEO shared with the business person from ABM Inc. and Glenn shared with the Developer. Alex does not work for Reed Right and is not the Director. The Director does not work for Lantel or Blue Teeth. Neither Clarkson nor Grimaldi works for Reed Right. Grimaldi is either the IT Analyst or the CEO. The business person from Reed Right did not share a room with Taylor. Clarkson, who does not work for Lantel, shared with either Taylor or Grimaldi but not both. Glenn's surname is either Casson or Graves. Glenn did not share with Charlie. The business person from Chiptech shared with the business person from Lantel. The CEO shared with the IT Analyst. Casson works for either Blue Teeth or Chiptech. Neither Jesse nor Alex works for ABM Inc. Fielder shared with the Director. The business person from Blue Teeth shared with the Developer.
First names : Alex, Charlie, Glenn, Jesse, Taylor.
Last names : Casson, Clarkson, Fielder, Graves, Grimaldi.
Company : ABM Inc., Blue Teeth, Chiptech, Lantel, Reed Right.
Position : Accountant, CEO, Developer, Director, IT Analyst.
Answer First Last Name Company Position Charlie Grimaldi ABM Inc. IT Analyst Glenn Casson Chiptech Director Jesse Graves Reed Right CEO Alex Clarkson Blue Teeth Accountant Taylor Fielder Lantel Developer
To solve this puzzle, you first need to determine who shared which room with whom. Three delegates shared the triple and two shared the twin. The CEO shared with the business person from ABM in one room and Glenn shared with the Developer in the other (1). Since Grimaldi is either the IT Analyst or the CEO (3) and the CEO shared with the IT Analyst, Grimaldi is in the same room as whoever is the CEO, IT Analyst and ABM delegate although Grimaldi could have been one of these people. Glenn did not share with Charlie (6), so Charlie is in the same bedroom as, and possibly is, the CEO, IT Analyst, Grimaldi and / or the ABM delegate. Grimaldi and Taylor were in different rooms, so Taylor shared a room with Clarkson (5) and the Reed Right delegate was in a different room to Taylor. At this stage we know:
Room 1
CEO
IT Analyst
ABM delegate
Grimaldi
Charlie
Reed Right delegate
Room 2
Glenn
Developer
Taylor
Clarkson
Since the Chiptech delegate shared with the Lantel delegate (7), both of these must have been in room 2 otherwise there would be four delegates in room 1 which is not possible.
Now this has been ascertained, the puzzle can be solved:
The CEO shared with the IT Analyst, so the IT Analyst must work for ABM (Clues 1 and 8), so the CEO must work for Reed Right. Since Grimaldi does not work for Reed Right, they must be the IT Analyst. Clarkson, Fielder and Casson are in room 2, so the CEO must be Graves. Graves is not Glenn (1), Taylor (4), Charlie (IT Analyst) or Alex (2), so must be Jesse. Clarkson is not Taylor (5), Glenn (6), Charlie or Jesse (in room 1), so must be Alex. The Director does not work for Lantel or Blue Teeth (2), Reed Right or ABM (room 1), so must work for Chiptech. This is not Graves or Grimaldi (room 1), Clarkson (2) or Fielder (11), so must be Casson. Since Graves' first name is Jesse, Casson must be Glenn (6). Alex Clarkson does not work for Reed Right or ABM (room 1), Lantel (5) or Chiptech, so must work for Blue Teeth. Since they are not the Developer (12) they must be the Accountant. This leaves Taylor Fielder who is the Developer for Lantel.
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Puzzle 20
My trustworthy (?!) BrainBashers word processor is playing its silly tricks again.
This time, it has replaced all of the consonants with random ones.
I can at least be thankful that it has left the vowels (AEIOU) untouched.
Can you find all of the animals? fahjecqsaxeeepzothepessawxfeyuvzowqudpol
It is now four years since I first asked for support, and I would like to sincerely thank everyone who has helped me. BrainBashers doesn't show adverts, and I continue to depend on the ongoing support from everyone who enjoys the site.
