A school has 8 periods of 45 min each, everyday. How long will each period be if the school has to have 9 periods everyday, assuming the working hours to be the same?

Options

A. 40 minutes
B. 35 minutes
C. 30 minutes
D. 45 minutes

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Calculate the total time the school operates in a day.
The school has 8 periods, and each period is 45 minutes long.

\[ \text{Total time} = \text{Number of periods} \times \text{Duration of each period} = 8 \times 45 \text{ minutes} \]

\[ \text{Total time} = 360 \text{ minutes} \]

### Step 2: Determine the duration of each period if the school has 9 periods.
Now, if the school has to have 9 periods in a day while keeping the total time the same (360 minutes), we need to find out how long each period will be.

\[ \text{Duration of each period} = \frac{\text{Total time}}{\text{Number of periods}} = \frac{360 \text{ minutes}}{9} \]

\[ \text{Duration of each period} = 40 \text{ minutes} \]

### Conclusion:
If the school has 9 periods every day, then each period will be 40 minutes long.

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