Answer:
5.625 minutes to revarnish the pipe organ together.
Step-by-step explanation:
Given;
Time taken by Shayna to revarnish the pipe organ = 9 minutes
Time taken by Kayla to revarnish the pipe organ = 15 minutes
Now,
In one minute pipe organ revarnished by Shayna = [tex]\frac{\textup{1}}{\textup{9}}[/tex]
In one minute pipe organ revarnished by Kayla = [tex]\frac{\textup{1}}{\textup{15}}[/tex]
Therefore,
Working together total work completed in one minute = [tex]\frac{\textup{1}}{\textup{9}}+\frac{\textup{1}}{\textup{15}}[/tex]
= [tex]\frac{\textup{8}}{\textup{45}}[/tex]
= [tex]\frac{\textup{1}}{\textup{5.625}}[/tex]
hence,
The time taken = 5.625 minutes to revarnish the pipe organ together.