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?

Let the duration of each period be x.
Period 8 9
Duration of period (in minutes) 45 x
Here the number of periods and the duration of periods are in inverse proportion.
∴ 8/9 = x/45 ⇒ xX9 = 8×45 ⇒ x = 8×45/9 = 40 minutes
Hence, the duration of each period would be 40 minutes.

Class 8 Maths Chapter 11 Exercise 13.2 Solution in Video

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