Answer: Willis will take 3 hours to paint the room by himself.
Step-by-step explanation:
Given: Time taken by James to complete job by himself = 6 hours
Let Time taken by Willis to complete job by himself = t hours
Together they take 2 hours.
[tex]\dfrac{1}{6}+\dfrac{1}{t}=\dfrac{1}{2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{2}{6}\\\\\Rightarrow\ t=\dfrac{6}{2}\\\\\Rightarrow\ t=3[/tex]
So, Willis will take 3 hours to paint the room by himself.
