Puzzle 449
Sam takes 20 days to build a wall.
Taylor and Kelly each take 10 days to build a wall.
How long will it take the three of them to build a wall if they work together?
Puzzle Copyright © Kevin Stone
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Hint
How many walls can be built in 20 days?
Answer
4 days.
Reasoning
In 20 days, Sam can build 1 wall, and Taylor and Kelly can each build 2 walls.
So, in 20 days, 5 walls can be built.
Therefore, one wall will take 4 days to build.
Puzzle 450
Which pair of letters comes next in this sequence:
on · et · wo · th · re · ef · ou · ?
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Hint
Try removing the spaces.
Answer
rf.
This sequence spells out the numbers onetwothreefourfive etc.
Puzzle 451
Last week I decided to cycle to my Grandparents's house.
On the 1st day, I cycled half of the distance.
On the 2nd day, I cycled one half of the remaining distance.
On the 3rd day, I cycled three quarters of the remaining distance.
On the 4th day, I cycled 10 miles.
On the 5th day, I cycled two thirds of the remaining distance.
On the final day, I cycled the remaining 5 miles.
How far is it to my Grandparent's house?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
400 miles.
Reasoning
Working backwards:
On the final day I cycled the remaining 5 miles
On Day 5, I started with 15 miles (as I cycled two thirds, leaving 5 miles).
On Day 4, I started with 25 miles (as I cycled 10 miles).
On Day 3, I started with 100 miles (as I cycled three quarters, leaving 25 miles).
On Day 2, I started with 200 miles (as I cycled half, leaving 100 miles).
On Day 1, I started with 400 miles (as I cycled half, leaving 200 miles).
Puzzle 452
Place the words below into pairs.
You will then have 5 lots of eight letters, each of which is an anagram of at least one other word.
Can you find the 5 pairings, and at least one anagram each?
peer
time
date
wall
june
tone
snob
seat
pale
veil
Puzzle Copyright © Kevin Stone
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Hints
Try: pale + tone, veil + june, peer + date.
Answers
pale + tone = antelope
veil + june = juvenile
peer + date = repeated, departee
snob + wall = snowball
time + seat = estimate, meatiest, teatimes
