Question

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.

Answer 1

Answer:

- equation: 1/t = 1/8 + 1/6
- time: 3.43 hours

Explanation:

1) Working speed of Cody: 1 project / 8 hours

2) Working speed of Kaitlyn: 1 project / 6 hours

3) Joint working speed = working speed of Cody + working speed of Kaitlyn

⇒ 1 project / t = 1 project / 8 hours + 1 project / 6 hours

1 / t = 1 / 8 + 1 / 6

That is the equation to solve.

4) Solution of the equation.

1/t = [3 + 4] / 24

1/t = 7/24

⇒ t = 24/7 ≈ 3.43 hours