Puzzle 361
Our local scrap merchant had to travel to the county recycling plant, 60 miles away.
On the way there, the wagon was fully laden, so could only manage a steady 12mph.
On the way back, the wagon was much lighter and could manage a steady 16mph.
The wagon started with 24 gallons of fuel in the tank ready for the round trip, which was easily enough fuel as the wagon managed to travel 8 miles for each gallon.
Unfortunately, a piece of metal had pierced the fuel pipe at the very start of the trip, and the wagon began to lose 1 gallon of fuel every hour.
Luckily, it only lost fuel when moving and lost no fuel while unloading the scrap metal.
Were the 24 gallons enough for the entire round trip?
Puzzle Copyright © Kevin Stone
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Hint
How many hours was the truck travelling?
Answer
Yes.
Reasoning
The outward trip of 60 miles was at 12mph, so took 5 hours.
The return trip of 60 miles was at 16mph, so took 3.75 hours.
A total of 5 + 3.75 = 8.75 hours. In 8.75 hours, the wagon lost 8.75 gallons.
The total distance was 120 miles, which at 8 miles per gallon used 15 gallons.
So the total amount of fuel was 8.75 (lost) + 15 (used) = 23.75 gallons.
So the original 24 gallons was just enough.
Puzzle 362
Starting with WARM, change one letter at a time, and end with COOL?
Each change leaves the other letters in their original places and must result in a proper word.
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Hint
One answer changes Warm to Worm.
Answer
WARM, WORM, WORK, CORK, COOK, COOL
or
WARM, WORM, WORD, WOOD, WOOL, COOL.
Puzzle 363
Can you find a number …
… whose double exceeds its quarter by 7.
Puzzle Copyright © Kevin Stone
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Hint
The number is less than 100.
Answer
4.
4's double is 8, and 4's quarter is 1.
Reasoning
If the missing number is N, then:
2N = N + 7
—
4
Multiply throughout by 4:
8N = N + 28
Subtract N from both sides:
7N = 28
Divide throughout by 7:
N = 4
Puzzle 364
At the recent BrainBashers code-breaking convention, Billie Brisk won the speed contest.
The following sentence was deciphered in a record time of 123 seconds.
What was the well-known saying, and how has it been encrypted?
MOOT CYNA SKOO IOPS EHTL TORB YCBH
Puzzle Copyright © Kevin Stone
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Hint
The first word begins with T.
Answer
Too many cooks spoil the broth.
Reasoning
The saying has been broken down into blocks of 4, the last block has been filled with dummy letters. Each block has then been reversed.
Double-Checking
Start with:
TOO MANY COOKS SPOIL THE BROTH
Group together:
TOOMANYCOOKSSPOILTHEBROTH
Split into groups of 4 letters:
TOOM ANYC OOKS SPOI LTHE BROT H
Add 3 random characters:
TOOM ANYC OOKS SPOI LTHE BROT HBCY
Reverse each group of 4 letters:
MOOT CYNA SKOO IOPS EHTL TORB YCBH
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