Algebra question Please answer in format shown Hannah can pa

Hannah can paint a room in 9 hours. Destiny can paint the same room in 15 hours. How long does it take for both Hannah and Destiny to paint the room they are working together. Enter the exact time as an improper fraction if needed.

Solution

The work done by Hannah in 1 hr = 1/9

The work done by destiny in 1 hr = 1/15

Total work done by both in 1 hr = 1/9+ 1/15

=15+9/15*9

=24/135

Therefore total time = 135/24

=5 15/24

= 5 days and 15/24th part of a day