Answer: Hence, Mr. Itol takes 9 hours, and his assistant takes 18 hours alone.
Step-by-step explanation:
Let the number of hours Mr. Itol takes be 'x'.
Let the number of hours Mr. Itol's assistant takes be '2x'.
Total number of hours both experts take = 6 hours
According to question, we get that
[tex]\dfrac{1}{x}+\dfrac{1}{2x}=\dfrac{1}{6}\\\\\dfrac{2+1}{2x}=\dfrac{1}{6}\\\\\dfrac{3}{2x}=\dfrac{1}{6}\\\\18=2x\\\\x=\dfrac{18}{2}\\\\x=9[/tex]
Number of hours taken by him = x = 9 hours
Number of hours taken by his assistant = 2x = [tex]2\times 9=18\ hours[/tex]
Hence, Mr. Itol takes 9 hours, and his assistant takes 18 hours alone.
