Question

Hannah can paint a room in 15 hours. Destiny can paint the same room in 9 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together hours = O No solution

Answer 1

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

`\begin{gathered} (1)/(15)+(1)/(9)=(9+15)/(135) \\ =(24)/(135) \\ =(8)/(45) \end{gathered}`

together in an hour.

This means that they took

`(45)/(8)=5.625`

hours to paint the room together. This is the same