Puzzle 1
Last week I travelled from London to Leeds, a distance I measured as 174 miles.
I started at 9.15am and completed the journey with an average speed of 40 miles per hour.
On the way back, in the evening, I travelled exactly the same route, starting at 5.15pm. The traffic was light, and I completed the journey with an average speed of 60 miles per hour.
What was the overall average speed for the round trip?
The answer is not 50 mph.
Puzzle Copyright © Kevin Stone
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Hint
Remember that Time = Distance ÷ Speed, and Speed = Distance ÷ Time.
Answer
48 miles per hour.
Reasoning
Using:
Time = Distance ÷ Speed
Speed = Distance ÷ Time
The outward journey took 174 miles ÷ 40 mph = 4.35 hours.
The return journey took 174 miles ÷ 60 mph = 2.9 hours.
So I travelled a total of 2 x 174 = 348 miles. I did this in a total of 4.35 + 2.9 = 7.25 hours.
My overall average speed was therefore 348 miles ÷ 7.25 hours = 48 miles per hour.
Puzzle 2
What number comes next in this sequence:
7 · 8 · 5 · 5 · 3 · 4 · 4 · ?
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Hint
The answer involves months of the year.
Answer
6.
The number of letters each month has, starting with January, therefore, August has 6 letters.
Puzzle 3
What is the only number not found in the Roman numeral system?
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Puzzle 4
Using the letters AAEEIIMMPPTT complete this grid. The grid reads the same across as down.
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
The bottom word begins with P.
Answer
L
I
M
P
I
D
E
A
M
E
A
T
P
A
T
E
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