Question

Kyla can cut and split a cord of wood in 5.5 hr. Ronson can cut and split a cord of wood in 6.5 hr. How long will it take them, working together, to cut and split a cord of wood?Give your answer as a fraction or a mixed number.

Answer 1

Answer:

$178.75\text{ minutes or }\frac{35.75}{12}\text{ hours}$

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 $\frac{1}{5.5}$ of a cord of wood in one hour. Similarly, Ronson can cut and spit $\frac{1}{6.5}$ of a cord of wood in one hour.

Therefore, working together, they can split $\frac{1}{5.5}+\frac{1}{6.5}=\frac{12}{35.75}$ of a cord of wood.

Thus, it will take them $\frac{35.75}{12}=178.75\text{ minutes or }\frac{35.75}{12}\text{ hours}$ to cut and split a cord of wood.