Question

Blake and Ned work for a home remodeling business. They are putting the final touches on a home they renovated. Working alone, Blake can paint one room in 9 hours. Ned can paint the same room in 6 hours. How long will it take them to paint the room if they work together? (SHOW WORK)

Answer 1

Answer: 3.6 hours

Step-by-step explanation:

Given : The time taken by Blake to paint the room : $t_1=9\text{ hours}$

The time taken by Ned to paint the room : $t_2=6\text{ hours}$

Then , the time taken (T) by both of them to paint the room if they work together is given by :-

$\dfrac{1}{T}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{9}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{T}=\dfrac{5}{18}\\\\\Rightarrow\ T=\dfrac{18}{5}=3.6\text{ hours}$

Hence, it will take 3.6 hours to the two companies if they working together .