A school has 8 periods a day, each of 45 minutes duration. How long is each period, if the school has 9 periods a day, assuming that the number of school hours per day stays the same?
Given: Initial periods = 8 Initial duration = 45 minutes New periods = 9 Total school time is constant.
Formula: Total time = Number of periods × Duration
Calculation: Total time = = 360 minutes New duration = 360 ÷ 9 = 40 minutes
Answer: Each period will be 40 minutes long.
Explanation
The chapter explains inverse proportion. Total school time = Periods × Duration = constant. Initial: = 360 minutes. New duration: 360 ÷ 9 = 40 minutes per period.
Solution Steps
Step 1: Calculate total school time: 8 periods × 45 minutes = 360 minutes
Step 2: Calculate new duration per period: 360 minutes ÷ 9 periods = 40 minutes