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Between 9 pm and 6:36 am, the water level in a swimming pool decreased by 6/35 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?

Respuesta :

First, we need to know the total hours from 9 pm to 6:36 am.

We have that from 9:00 pm to 6:00 am are 9 hours. We still have 36 minutes.

And

[tex]36\min \cdot\frac{1hour}{60\min }=0.6hour[/tex]

Then, the total hours are 9.6 hours.

The water level decreased by 6/35 in. Then:

[tex]d=\frac{\frac{6}{35}in}{9.6\text{hour}}\Rightarrow d=0.01786in/\text{hour}[/tex]

Then, the level decreased approximately 0.01786 in/hour at that period of time (the water level decreased at a constant rate).

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