A school has 9 periods a day each of 40 minutes duration.

Question:

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

Solution:

Let x min be the duration of each period when the school has 8 periods a day.

No. of periods 9 8
Time (in min) 40 x

Clearly, if the number of periods reduces, the duration of each period will increase.

So, it is a case of inverse proportion.

Now, $9 \times 40=8 \times x$

$\Rightarrow x=\frac{9 \times 40}{8}$

 

$\Rightarrow x=45$

Therefore, the duration of each period will be 45 min if there were eight periods a day.

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March 24, 2023, 6:35 a.m.
Thanks..........
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March 24, 2023, 6:35 a.m.
Thanks..........
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