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BEBRAS 2023 Grade 9-10 Round 2 Ext Question 15

BEBRAS · BEBRAS 2023 Grade 9-10 Round 2 Ext

Question 15

Three lamps change color continuously according to these repeating rules.
- Lamp I cycles blue, red, purple, yellow, changing every 3 seconds.
- Lamp II cycles blue, purple, yellow, changing every 4 seconds.
- Lamp III alternates blue, red, changing every 5 seconds.

Just now lamps I,II,III have respectively changed to blue,purple,red. How long until their colors are respectively red,purple,blue?
  1. Less than 5 minutes.
  2. About 10–30 minutes.
  3. About 1 hour.
  4. It cannot happen.