Puzzle 129
Two friends were driving from their home to Manchester, Alex drove the first 90 miles, and Billie took over for the remainder of the journey.
On the way back, Alex drove to begin with, and Billie took over for the last 100 miles.
Who drove the furthest?
Puzzle Copyright © Kevin Stone
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Hint
It doesn't matter how far it was to Manchester, so you can use any distance.
Answer
Billie.
Reasoning
If we call the one way distance T, we know that:
On the way there, Alex drove 90 miles, and Billie drove (T – 90) miles.
On the way back, Alex drove (T – 100) miles, and Billie drove 100 miles.
So, in total, both ways:
Alex drove 90 + (T – 100)
= T – 10
Billie drove (T – 90) + 100
= T + 10
Therefore, Billie drove 20 miles more than Alex.
Puzzle 130
In 1978,
what happened on the 5th of June,
at 34 minutes past 12?
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Hint
How can we write this time and date?
Answer
The time and day became:
12:34 5/6/78 (in UK format)
In US format, this happened on the 6th of May.
Puzzle 131
Starting with the 6 in the bottom left corner, what is the highest total you can make, if you only move up or right, using the mathematical signs on the way?
+
4
–
1
+
3
2
+
4
–
1
+
–
3
+
2
–
2
2
–
4
+
3
–
+
3
–
1
+
2
6
+
1
–
2
+
Note: this puzzle is not interactive, and the numbers cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
The highest total does not involve a 4.
Puzzle 132
Which are there more of …
… square feet in half a square mile or cubic yards in a cubic furlong?
Puzzle Copyright © Kevin Stone
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Hint
There are 3 feet in a yard, 1760 yards in a mile, and 8 furlongs in a mile.
Answer
Square feet in half a square mile.
Reasoning
There are 3 feet in a yard, 1760 yards in a mile, and 8 furlongs in a mile.
A mile is 1760 x 3 = 5280 feet in a mile.
A square mile is 5280 x 5280 = 27878400 square feet.
Therefore, half a square mile = 13,939,200 square feet.
A furlong is 1760 ÷ 8 = 220 yards.
Therefore, a cubic furlong is 220 x 220 x 220 = 10,648,000 cubic yards.
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