Puzzle 153
A large freshwater reservoir has two types of drainage system. Small pipes and large pipes.
6 large pipes, on their own, can drain the reservoir in 12 hours.
6 small pipes, on their own, can drain the reservoir in 18 hours.
How long will 6 large pipes and 6 small pipes take to drain the reservoir?
Puzzle Copyright © Kevin Stone
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Hint
How many reservoirs can each drain in 36 hours?
Answer
7 hours and 12 minutes.
Reasoning
We can use a time that 12 hours and 18 hours both fit in to, in 36 hours:
6 large pipes can drain 3 reservoirs.
6 small pipes can drain 2 reservoirs.
Therefore, together, 6 large and 6 small pipes can drain 5 reservoirs.
36 hours ÷ 5 = 7.2 hours for one reservoir.
7.2 hours = 7 hours and 12 minutes for one reservoir.
Puzzle 154
After a day picking strawberries, I ended up with a full basket, which is always nice.
I ate 5, and then gave Alex half of the remaining.
I ate another 3, and then gave Billie one third of the remaining.
I ate another 6, and then gave Charlie two thirds of the remaining.
I now had 34 strawberries left. How many did I start with?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
335 strawberries.
Reasoning
Working backwards …
I ended up with 34 strawberries, so I had 102 before giving Charlie two thirds.
I ate 6 myself, so I had 108 before I ate those.
I had 108 strawberries, so I had 162 before giving Billie one third.
I ate 3 myself, so I had 165 before I ate those.
I had 165 strawberries, so I had 330 before giving Alex one half.
Ate 5 myself, so I had 335 before I ate those.
Therefore, I started with 335 strawberries.
Double-Checking
I started with 335.
I ate 5, leaving 330.
I gave Alex half (165), leaving 165.
I ate 3, leaving 162.
I gave Billie one third (54), leaving 108.
I ate 6, leaving 102.
I gave Charlie two thirds (68), leaving 34.
Puzzle 155
Below you will find 15 well-known six-letter words, with only their endings remaining.
Can you find the words?
---cil
---hid
---nze
---ese
---lug
---som
---uxe
---uum
---arm
---amo
---rby
---ink
---sai
---too
---fen
Puzzle Copyright © Kevin Stone
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Hint
The first letters of the words are: P, O, B, C, U, R, D, V, D, D, N, S, B, T, D.
Answers
---cil = pencil
---hid = orchid
---nze = bronze
---ese = cheese
---lug = unplug
---som = ransom
---uxe = deluxe
---uum = vacuum
---arm = disarm
---amo = dynamo
---rby = nearby
---ink = shrink
---sai = bonsai
---too = tattoo
---fen = deafen
Puzzle 156
Alex can eat 27 chocolates in an hour, Billie can eat 2 chocolates in 10 minutes, and Charlie can eat 7 chocolates in 20 minutes.
How long will it take them to share and eat a large box of 120 chocolates while watching a movie?
Puzzle Copyright © Kevin Stone
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Hint
How many chocolates can they eat in one hour?
Answer
2 hours.
Reasoning
In one hour, Alex eats 27 chocolates, Billie eats 12, and Charlie eats 21.
A total of 60 chocolates.
Therefore, 120 chocolates would take 2 hours.
