[CV026] Bottle Full of Germs

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Bottle Full of Germs

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Bottle Full of Germs
Game	Professor Layton and the Curious Village
Number	026
Type	Write Answer
Location	Park Gate
Solved by	Luke
Picarats	20
Mandatory	No
Reward	None

Bottle Full of Germs is a puzzle in Professor Layton and the Curious Village.

Puzzle

A glass jar holds a single germ. After one minute, the germ splits into two germs. One minute after that, the two germs each split again, forming a total of four germs. Continuing at this rate, a single germ can multiply to fill the whole jar in exactly one hour.
Knowing this, how long in minutes would it take to fill the jar if you had started with two germs?

Hints

• →
• Hint 1
• Hint 2
• Hint 3

Click a Tab to reveal the Hint.

If one germ becomes two, and two become four, that means that the number of germs doubles each minute.

If you start with one germ, the germ will multiply and fill the jar in one hour.
Starting with one germ, then, how many will you have in one minute?
Read the problem carefully.

Let's take a step back and think.
Your answer is the amount of time it takes for two germs to fill the jar. If it takes one minute for one germ to turn into two, how much additional time is needed to fill the jar?

Solution

Incorrect

Too bad!
In one minute, one germ becomes two germs. In other words, the number of germs doubles by the minute. Straightforward, right?
It takes a full hour to fill the jar when you start with one germ, so...

Correct

The answer is 59 minutes.
It takes one minute for a single germ to split into two. Therefore, starting with two germs instead of one only saves you one minute.