A cell divides every minute. It will fill a 100 ml beaker in one hour. How much time would it take to fill 50 ml beaker

Options

A. 29 minutes
B. 30 minutes
C. 59 minutes
D. 60 minutes

Answer

To solve the problem step by step, let's analyze the situation:

1. **Understanding Cell Division**: The problem states that a cell divides every minute. This means that the number of cells doubles every minute.

2. **Total Time to Fill 100 ml Beaker**: It is given that the 100 ml beaker is completely filled in 60 minutes. This implies that at the 60th minute, the beaker is full.

3. **Filling Rate**: Since the cells double every minute, we can deduce that at the 59th minute, the beaker would be half-filled. This is because if it takes 60 minutes to fill 100 ml, then at 59 minutes, it would contain 50 ml (half of 100 ml).

4. **Conclusion for 50 ml Beaker**: Therefore, it will take 59 minutes to fill a 50 ml beaker.

5. **Final Answer**: The time taken to fill the 50 ml beaker is 59 minutes.