Hanna can paint a room in 15 hours, this means she paints 1/15 of the room in an hour. Similarly Destiny paints 1/9 of the room in an hour.
Hence they paint
[tex]\begin{gathered} \frac{1}{15}+\frac{1}{9}=\frac{9+15}{135} \\ =\frac{24}{135} \\ =\frac{8}{45} \end{gathered}[/tex]together in an hour.
This means that they took
[tex]\frac{45}{8}=5.625[/tex]hours to paint the room together. This is the same
