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Chapter 13 Direct and Indirect Proportions Ex 13.2 Solutions

Question - 11 : -
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?

Answer - 11 : -

On increasing the duration of periods, the number of periods will be reduced.
Thus, the two quantities are in inverse proportion.

Number of periods

Duration of periods in minutes

8

45

9

x

Let the requiredduration of each period be x.
x1y1 = x2y2
8 × 45 = 9 × x
x = 40 minutes
Hence, the required duration of period = 40 minutes.

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