SOLUTION: 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 p

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Question 980569: 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.
Found 2 solutions by josgarithmetic, macston:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Rate unit should be JOBs per TIME or JOBS/HOUR.

Cody____________1%2F8
Kaitlyn_________1%2F6

Rate of for both of them working together on the same task is 1%2F8%2B1%2F6.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Cody: 1 park/8 hours=1/8 park/hr
Kaitlyn: 1 park/6 hours=1/6 park/hr
Together 1/8 park/hr+1/6 park/hr=(3/24+4/24)park/hr=7/24 park/hr
.
To landscape 1 park at 7/24 park/hr:
1 park/(7/24 park/hr)=3.43 hours
.
ANSWER: It takes the two workers 3.43 hours to landscape the park together.