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Mathematics

A school has 8 periods in a day, each of 45 minutes duration. Assuming that the number of school hours to be the same and the school has 9 periods in a day, the duration of each period is:

  1. 72 minute

  2. 180/5 minute

  3. 40 minute

  4. 60 minute

Direct & Inverse Variations

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Answer

Let the duration of each period be x minutes.

PeriodsDuration(in min)
845
9x

Since it is a case of inverse variation,

∴8×45=9×x⇒360=9x⇒x=3609⇒x=40\therefore 8 \times 45 = 9 \times x\\[1em] \Rightarrow 360 = 9x\\[1em] \Rightarrow x = \dfrac{360}{9}\\[1em] \Rightarrow x = 40

Hence, option 3 is the correct option.

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