419,308 views
15 votes
15 votes
Hannah can paint a room in 12 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

User Quirico
by
2.7k points

1 Answer

6 votes
6 votes

\begin{gathered} Hannah=(1)/(12) \\ Dest\text{iny =}(1)/(9) \\ x=the\text{ number of hour }both\text{ Hannah and Destiny} \\ (1)/(12)+(1)/(9)=(1)/(x) \\ (9+12)/(108)=(1)/(x) \\ (7)/(36)=(1)/(x) \\ x=(36)/(7) \\ x=5.1 \\ \text{Working together it will take 5.1 hours to paint the room} \end{gathered}

User Ininiv
by
2.7k points