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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

60 minutes

B

59 minutes

C

30 minutes

D

29 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 when bacterial cells divide every minute and it takes one hour to fill the entire cup, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Doubling Time**: The problem states that bacterial cells divide every minute. This means that the population of bacteria doubles every minute. 2. **Total Time to Fill the Cup**: It is given that it takes 60 minutes to fill the entire cup. This means that at the end of 60 minutes, the cup is completely filled with bacteria. 3. **Determine the State of the Cup Just Before It Is Full**: Since the bacteria double in number every minute, we can deduce that the cup must have been half filled just one minute before it became completely full. 4. **Calculate the Time for Half the Cup**: Therefore, if the cup is fully filled at 60 minutes, it must have been half filled at 59 minutes. 5. **Conclusion**: 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 when bacterial cells divide every minute and it takes one hour to fill the entire cup, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Doubling Time**: The problem states that bacterial cells divide every minute. This means that the population of bacteria doubles every minute. 2. **Total Time to Fill the Cup**: It is given that it takes 60 minutes to fill the entire cup. This means that at the end of 60 minutes, the cup is completely filled with bacteria. ...
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