Daily Math Puzzle: 2026-06-27
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2026-06-27
The Great Zenu, master of illusion, announces his grand finale: a journey to a mystical island and back in a 'time-distortion' capsule. He explains that the island is exactly 100 km away. During the journey, for every hour of *actual* travel time, passengers inside the capsule will only experience 30 minutes. Furthermore, Zenu states that the capsule maintains a *perceived* speed of 100 km/h for the entire trip. If a volunteer enters the capsule, travels to the island, and immediately returns, how much *real* time will have passed when they emerge?
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Solution
4 hours — Let's break down the journey:
1. **Total Distance:** The island is 100 km away, and the volunteer travels there and back. So, the total distance covered (both actual and perceived by the volunteer) is 100 km + 100 km = 200 km.
2. **Perceived Time:** The magician states the perceived speed is 100 km/h. Since the volunteer perceives traveling 200 km at 100 km/h, the perceived time for the journey is:
Perceived Time = Perceived Distance / Perceived Speed
Perceived Time = 200 km / 100 km/h = 2 hours.
3. **Actual Time:** The trick lies in the time distortion: 'for every hour of *actual* travel time, passengers inside the capsule will only experience 30 minutes.' This means the perceived time is half of the actual time (30 minutes / 60 minutes = 0.5).
So, Perceived Time = 0.5 * Actual Time.
Rearranging for Actual Time: Actual Time = Perceived Time / 0.5.
Actual Time = 2 hours / 0.5 = 4 hours.
Therefore, 4 real hours will have passed when the volunteer emerges from the capsule.
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