Answer-
It took 12 hours to lose the water.
Solution-
The total amount of water lost from Gerald’s bucket is [tex]\dfrac{8}{5}[/tex] inch
The amount of water he estimated to be lost in a single hour is [tex]\dfrac{2}{15}[/tex] inch
Dividing the total water lost by water lost per hour, we can get the the total number of hours it took to lose the water.
[tex]\text{Number of hours}=\dfrac{\dfrac{8}{5}}{\dfrac{2}{15}}=\dfrac{8}{5}\times \dfrac{15}{2}=4\times 3=12[/tex]
Therefore, it took 12 hours to lose the water.