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Home » Thus, the length is \(2 \times 40 = 80\). - Silent Sales Machine

Thus, the length is \(2 \times 40 = 80\). - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Reconsider: maybe 720 is the number of times the minute hand’s *point* passes a sensor in 24 hours. That would be 24 × 60 × 1 = 1440 rotations — still not 720.

📌 is 24 × 30 — perhaps per gear system cycle? Too vague.

📌 Let’s assume the problem means: the minute gear turns 720 times in 24 hours due to an automated display — so average speed = 720 / 24 = 30 rotations per hour. But a real minute hand does 1 rotation per hour — so this system turns 30 times faster.

📌 But for gear ratio: yes, if minute gear rotates 720 times in 24 hours, speed = 30 rotations/hour.

📌 But in mechanical watch, minute gear should make 1 rotation per hour — contradiction.

📌 So perhaps completes refers to something else.

📌 Alternative interpretation: the minute hand completes a full rotation every hour, so over 24 hours: 24 rotations. But the problem says 720 — so likely, it's a scaled model where each hour corresponds to 30 minutes of real time? Then 24 hours = 48 real-time hours? Then 48 × (60 / 60) = 48 rotations — still not 720.

📌 Wait — 720 / 24 = 30 → so 30 rotations per hour equivalent. But let’s accept the given: minute gear rotates 720 times in 24 hours → rotations per hour = 720 / 24 = 30.

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