Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complete the project in 8 hours. Kaitlyn can complete the project in 6 hours. Hayden wants to know how long it will take them to complete the project together. Write an equation and solve for the time it takes Cody and Kaitlyn to complete the project together. Explain each step.

Cody can do the job in 8 hours.

He does 1/8 of the job each hour.

Caitlyn can do the job in 6 hours.

She does 1/6 of the job each hour.

Working together, they do (1/8 + 1/6) of the job each hour.

Can you add those fractions?

Change both to a denominator of 24.

1/8 = 3/24

1/6 = 4/24

(1/8 + 1/6) = (3/24 + 4/24) = 7/24

Working together, they do 7/24 of the job each hour.

Invert (7/24 job/hour) and you have (24/7 hour/job).

24/7 = (3 and 3/7) hour/job.

Together, it takes them 3-3/7 hours.

(That's 3hours 25minutes 42.9 seconds.)

The question says "write an equation".

The equation could be H (number of hours) = 1 / (1/8 + 1/6)