Let's break this down step by step using a logical approach:

Step 1: Calculate the rate of puzzle solving per solver.

• 6 solvers solve 12 puzzles in 12 minutes.
• Therefore, 1 solver solves $\frac{12}{6} = 2$ puzzles in 12 minutes.

Step 2: Determine the time it takes for 1 solver to solve 1 puzzle.

• Since 1 solver can solve 2 puzzles in 12 minutes, the time to solve 1 puzzle is: $\frac{12 \text{ minutes}}{2 \text{ puzzles}} = 6 \text{ minutes per puzzle}.$

Step 3: Calculate the total time to solve 60 puzzles.

• If 1 puzzle takes 6 minutes, the time to solve 60 puzzles is: $60 \times 6 = 360 \text{ minutes}.$

Final Answer:

It will take 360 minutes (or 6 hours) for one puzzle solver to solve 60 puzzles.

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Would you like a detailed explanation on any part of the solution?

Here are 5 related questions to further your understanding:

1. How would the time change if the number of puzzles was doubled to 120?
2. What if the number of solvers was doubled to 12?
3. Can you generalize a formula for the time based on the number of solvers and puzzles?
4. How would the result change if each solver's speed varied slightly?
5. What happens to the total time if we assume a learning curve, where solvers get faster over time?

Tip: Always reduce problems to smaller units (like the rate of work per solver) to make complex problems more manageable.