Puzzle 13
Three builders are laying a brick wall.
Freddie can lay 1,000 bricks in three hours, Jimmy can lay 1,000 bricks in two hours and Kevin can lay 1,000 bricks in six hours.
How long will it take Freddie, Jimmy, and Kevin to lay 1,000 bricks if they all work together?
Puzzle Copyright © Kevin Stone
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Hint
How many bricks are laid in six hours?
Answer
1 hour.
Reasoning
How many bricks are laid in six hours?
In six hours, Kevin lays 1000 bricks, Freddie lays 2000 bricks, and Jimmy lays 3000 bricks.
So, in six hours, we have a total of 6000 bricks laid.
Which means that it will take one hour to lay 1000 bricks.
Puzzle 14
Starting in the bottom left corner and moving either up or right, adding up the numbers along the way, what is the largest sum that can be made?
2
3
6
2
4
2
3
1
5
1
6
1
1
1
7
5
3
5
2
2
3
2
7
2
3
Note: this puzzle is not interactive, and the numbers cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
The answer is not 31.
Answer
The largest sum that can be made is 34.
Puzzle 15
During a recent expedition, three intrepid adventurers were left stranded in the middle of the desert with only a crate full of apples.
During the night, Alex woke up and decided to hide some of the apples and hid a third, then promptly fell asleep again.
Billie woke up shortly after and also decided to hide a third of the remaining apples and then also dozed back to sleep.
Finally, Charlie woke up and seeing the others were asleep, took a third of what was left.
Of course, none of the adventurers knew of the other's antics, so, in the morning, they shared the remaining apples, each receiving sixteen. How many apples were in the crate originally?
Puzzle Copyright © Kevin Stone
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Hint
How many apples were left after Charlie had taken some?
Answer
162 apples.
Alex hid 54, leaving 108.
Billie then hid 36, leaving 72.
Charlie then hid 24, leaving 48 available to share in the morning.
Reasoning
To work these numbers out, we start at the end and work backwards.
At the end there were 16 apples each, therefore there were 48 apples in total.
Charlie removed one third, leaving 48, so there must have been 72 apples before.
Billie removed one third, leaving 72, so there must have been 108 apples before.
Alex removed one third, leaving 108, so there must have been 162 apples before.
Puzzle 16
If Malcolm, Laura, John, Alan, Brenda and Kevin like chocolate …
… and Norman, Steve, Thomas, Zebedee do not …
… does Peter like chocolate?
Puzzle Copyright © Kevin Stone
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Hint
Think about the alphabet.
Answer
No.
Only people with initials A-M do like chocolate, others do not.
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