Let the number of hours worked by full timers be x
The difference between hours worked by the full timers and part timers is 4 hours
The hours worked by full timers can be expressed as
[tex]x-6=4[/tex]Hence, full timers work 4 hours more than the part timers.
The number of full time hours is
[tex]\begin{gathered} x-6=4 \\ \text{Collect like terms} \\ x=4+6=10\text{ hours} \\ x=10\text{ hours} \end{gathered}[/tex]Hence, the number of full time hours, x, is 10 hours