A school has 8 periods at day each of 45 minutes duration. How long would each period be ? The school has 6 periods a day? (assuming the number of school hours to be the same)​

Let x minutes be the duration of period when the school has 6 periods a day.

Then Number of periods = 8

Duration of periods (in minutes) = 45x

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

So, it is a case of inverse proportion.

Hence, the duration of period is 60 minutes.

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60 minutes

Step-by-step explanation:

Number of Periods at day = 8

Duration of periods= 45 minutes

total school hours =( 8*45)/60 hr

360/60= 6hrs

Assuming 6 period a day,

Total school minutes = 360

Duration of periods = 360/6

= 60 minutes

So, assuming 6 period a day duration of period will be 60 minutes.

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