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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? - Mathematics

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Question

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?

Sum

Solution

Let the duration of each period, when there are 9 periods a day in the school, be x minutes. The following table is obtained:

Duration of each period (in minutes) 45 x
Number of periods 8 9

45 × 8 = x × 9

`x= (45 xx 8)/9 `

x = 40

Hence, in this case, the duration of each period will be 40 minutes.

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Chapter 13: Direct and Inverse Proportions - Exercise 13.2 [Page 214]

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NCERT Mathematics [English] Class 8
Chapter 13 Direct and Inverse Proportions
Exercise 13.2 | Q 11 | Page 214

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