Q11Written answer
A school has 8 periods a day, each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
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Worked solution
Let the duration of each period be x.

Here, the number of periods and the duration of periods are in inverse proportion.
8/9 = x/45
8×45 = 9x
x = 40
Hence, the duration of each period would be 40 minutes.