A bacteria divides in every one minute. A cup is filled in one hour. Time taken to fill one-fourth cup is

Options

A. 30 Minutes
B. 59 minutes
C. 29 minutes
D. 58 minutes

Explanation

To solve the problem of how long it takes for the bacteria to fill one-fourth of the cup, we can break it down step by step.

### Step-by-Step Solution:

1. **Understanding Bacterial Division**: The bacteria doubles every minute. This means that if we start with one bacterium, after one minute, we will have two, after two minutes, we will have four, and so on.

2. **Total Time to Fill the Cup**: The problem states that the cup is completely filled in one hour, which is 60 minutes.

3. **Finding Half Cup Time**: Since the bacteria doubles every minute, if the cup is full at 60 minutes, it must have been half full just one minute before that. Therefore, the cup is half full at 59 minutes.

4. **Finding One-Fourth Cup Time**: Continuing this logic, if the cup is half full at 59 minutes, it must have been one-fourth full just one minute before that. Thus, the cup is one-fourth full at 58 minutes.

5. **Conclusion**: Therefore, the time taken to fill one-fourth of the cup is 58 minutes.

### Final Answer:
The time taken to fill one-fourth of the cup is **58 minutes**.

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