For this case we can propose a rule of three:
[tex]\frac {1} {3}[/tex]bottle ------------> [tex]\frac {5} {9}[/tex]minutes
x --------------------------------------> 1 minute
Where the variable "x" represents the number of bottles that can be filled in 1 minute.
[tex]x = \frac {1 * \frac {1} {3}} {\frac {5} {9}}\\x = \frac {\frac {1} {3}} {\frac {5} {9}}\\x = \frac {9 * 1} {3 * 5}\\x = \frac {9} {15}\\x = \frac {3} {5}[/tex]
Thus, William can fill [tex]\frac {3} {5}[/tex] of a water bottle in 1 minute.
Answer:
William can fill [tex]\frac {3} {5}[/tex] of a water bottle in 1 minute.
