Assume that at 12:00 noon, single bacterium colonizes the discarded food can. Bacterium belongs to the group of bacteria which splits every minute. Bacterium and his descendants are all happy, but they fear time when can is completely full of bacteria. This time is known as doomsday!
1. How many bacteria are in can at 12:05 PM? At 12:10 PM?
2. Can is completely full of bacteria at 1:00 PM. At what time is can only half full of bacteria?
3. When can is exactly half full, president of bacteria colony reassures his constituents which doomsday is far away 2013 after all, there is as much room left in can as has been used in whole previous history of colony. Is president correct? How much time is left before doomsday?
4. When can is one-quarter full, how much time remains till doomsday?
5. Wise bacterium makes decision to start the new colony in another can and slow down splitting time to two minutes. How much time does new colony have until doomsday? Two cans are same size.