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July 13, 2026

Mathematical Puzzles and Problems: Numbers and Logic

Solution 2:
Let’s denote the distance between the two cities as “d” miles. Time taken for the first leg of the trip: d / 60 hours Time taken for the return trip: d / 80 hours Total time: d / 60 + d / 80 = 5 hours Solving for “d”: d = 240 miles.

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Riddle 4:
I am taken from a mine, and shut up in a wooden case, from which I am never released, and yet I am used by almost every person. What am I?

Solution 4:
The answer is pencil lead/graphite. It comes from a mine, is enclosed in a wooden case (pencil), and is used by many people.

Riddle 5:
What three positive numbers give the same answer when multiplied and added together?

Solution 5:
The numbers are 1, 2, and 3.
1 × 2 × 3 = 6
1 + 2 + 3 = 6

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