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Bacterial cell divides in every minute i...

Bacterial cell divides in every minute it takes one hour to fill up a cup. How much time be taken to fill half the cup

A

30 minutes

B

29 minutes

C

59 minutes

D

15 minutes

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of how much time it takes to fill half a cup with bacteria that divide every minute, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Doubling Time**: - Bacterial cells divide every minute, which means the population doubles every minute. 2. **Total Time to Fill the Cup**: - It is given that it takes one hour (60 minutes) to fill the entire cup. 3. **Calculate the Time to Fill Half the Cup**: - Since the bacteria double in number every minute, if the cup is completely full at 60 minutes, it must have been half full just one minute before that. - Therefore, at 59 minutes, the cup is half full. 4. **Conclusion**: - Thus, the time taken to fill half the cup is 59 minutes. ### Final Answer: The time taken to fill half the cup is **59 minutes**. ---
To solve the problem of how much time it takes to fill half a cup with bacteria that divide every minute, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Doubling Time**: - Bacterial cells divide every minute, which means the population doubles every minute. 2. **Total Time to Fill the Cup**: ...
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