Question

between 9 am and 6:36 am, the water in a swimming pool decreased by 8/25 in. assuming that the water level decreased at a constant rate, how much did the water level drop each hour

Answer 1

Answer: 2/15 in/hour

Explanation:

`\displaystyle\\1)\ 6:36=\\\\6(36)/(60)=\\\\6(3(12))/(5(12))=\\\\6(3)/(5)=\\\\(6*5+3)/(5)=\\\\(30+3)/(5)=\\\\(33)/(5) \ hours`

`\displaystyle\\2)\ 9-(33)/(5) =\\\\(9(5)-33)/(5)=\\\\(45-33)/(5) =\\\\(12)/(5)\ hours`

`\displaystyle\\3)\ (8)/(25):(12)/(5) =\\\\(8)/(25)*(5)/(12) =\\\\(8(5))/(25(12)) =\\\\(2*4*5)/(5*5*4*3) =\\\\(2)/(5*3) =\\\\(2)/(15)\ in/hour`