Answer:
[tex]178.75\text{ minutes or }\frac{35.75}{12}\text{ hours}[/tex]
Step-by-step explanation:
Let's find each person's hourly rate. If Kyla can cut and split a cord of wood in 5.5 hours, Kyla can cut and split [tex]\frac{1}{5.5}[/tex] of a cord of wood in one hour. Similarly, Ronson can cut and spit [tex]\frac{1}{6.5}[/tex] of a cord of wood in one hour.
Therefore, working together, they can split [tex]\frac{1}{5.5}+\frac{1}{6.5}=\frac{12}{35.75}[/tex] of a cord of wood.
Thus, it will take them [tex]\frac{35.75}{12}=178.75\text{ minutes or }\frac{35.75}{12}\text{ hours}[/tex] to cut and split a cord of wood.
