A school has 9 periods a day each of 40 minutes duration. How long would each period be, if the school has 8 perods a day, assuming the number of school hours to be the same?

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate the total school hours with 9 periods
Given that there are 9 periods in a day and each period is 40 minutes long, we can calculate the total school hours as follows:

\[ \text{Total school hours} = \text{Number of periods} \times \text{Duration of each period} \]

\[ \text{Total school hours} = 9 \times 40 = 360 \text{ minutes} \]

### Step 2: Set the total school hours for 8 periods
Now, we need to find out how long each period would be if there are 8 periods in a day, while keeping the total school hours the same. We already calculated that the total school hours is 360 minutes.

### Step 3: Calculate the duration of each period with 8 periods
To find the duration of each period when there are 8 periods, we divide the total school hours by the number of periods:

\[ \text{Duration of each period} = \frac{\text{Total school hours}}{\text{Number of periods}} \]

\[ \text{Duration of each period} = \frac{360}{8} = 45 \text{ minutes} \]

### Conclusion
Therefore, if the school has 8 periods a day, each period would be 45 minutes long.

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