Q:

Blake and Ned work for home remodeling business they are putting the final touches on a home they renovated. working alone Blake and paint one room in nine hours, Ned can paint the same room in six hours. how long will it take them to paint the room if they work together

Accepted Solution

A:
Answer:3.6 hoursStep-by-step explanation:Blake can do work in hours = 9Blake 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 = 1So, 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.