ANSWER:
8 hours
STEP-BY-STEP EXPLANATION:
Since the relationship is directly proportional, we can make the following proportion, taking into account the data given in the statement:
[tex]\frac{6}{10.65}=\frac{x}{14.2}[/tex]We solve for x:
[tex]\begin{gathered} x=\frac{6\cdot14.2}{10.65} \\ x=8\text{ hours} \end{gathered}[/tex]Therefore, the number of hours would be 8 hours