Respuesta :
Answer:
3.6 hours
Step-by-step explanation:
Blake can do work in hours = 9
Blake can do a part of work in 1 hour = [tex]\frac{1}{9}[/tex]
Ned can paint the same room in six hours.
Ned can do a part of work in 1 hour = [tex]\frac{1}{6}[/tex]
They can do a part of work together in 1 hour = [tex]\frac{1}{9}+\frac{1}{6}[/tex]
= [tex]\frac{5}{18}[/tex]
Now they can do [tex]\frac{5}{18}[/tex] part of work in hour = 1
So, they can do whole work in hours = [tex]\frac{1}{\frac{5}{18}}[/tex]
= [tex]3.6[/tex]
Hence it will take 3.6 hours to paint the room if they work together.
