Daily Math Puzzle: 2026-07-25
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2026-07-25
In the ancient city of Veridian, revered scribes were tasked with duplicating precious scrolls. A team of 5 novice scribes could copy 20 scrolls in 10 days. The Grand Oracle decreed that an urgent set of 30 scrolls must be copied by an elite team of Master Scribes. If each Master Scribe works twice as fast as a Novice Scribe, and the Master Scribe team consists of 3 individuals, how many days will it take them to copy the 30 scrolls?
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Solution
12.5 days — Here's how to solve this puzzle:
1. **Calculate the individual Novice Scribe's rate:**
* A team of 5 novice scribes copies 20 scrolls in 10 days. This means the total work done is 5 scribes * 10 days = 50 'novice-scribe-days' for 20 scrolls.
* Therefore, 1 novice-scribe-day of work produces 20 scrolls / 50 novice-scribe-days = 0.4 scrolls. So, a single Novice Scribe's rate is 0.4 scrolls per day.
2. **Calculate the individual Master Scribe's rate:**
* Each Master Scribe works twice as fast as a Novice Scribe.
* Master Scribe rate = 0.4 scrolls/day * 2 = 0.8 scrolls per day.
3. **Calculate the Master Scribe team's total rate:**
* The Master Scribe team consists of 3 individuals.
* Team rate = 3 Master Scribes * 0.8 scrolls/Master Scribe/day = 2.4 scrolls per day.
4. **Calculate the time to copy 30 scrolls:**
* Time = Total scrolls to copy / Team rate
* Time = 30 scrolls / 2.4 scrolls/day = 12.5 days.
Therefore, it will take the elite team of Master Scribes 12.5 days to copy the 30 scrolls.
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