Question

6. A school has 8 periods a day of 45 minutes each. If the school decides to have 9 periods a day without
increasing the number of school hours, how long would each period be?​

Answer 1

Answer:

40min

Step-by-step explanation:

8*45= 9*x

x=(8*45)/9

x= 40 min

Answer 2

Let x minutes be the duration of period when the school has 9 periods a day. Then

Number of periods                                8              9

Duration of periods (in minutes)         45           x

Clearly, more the periods, less will be the duration of the period.

So, it is a case of inverse proportion.

∴ 8 × 45 = 9 × x

= 360 = 9 × x

= 360/9 = x

= 40 = x

Hence, the duration of period is 40 minutes.