SOLUTION: Please help me solve the following problem:
Mark and Rachel both work for Smith Landscaping Company. Mark can finish a planting job in 4 hours, while it takes Rachel 5 hours to
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: Please help me solve the following problem:
Mark and Rachel both work for Smith Landscaping Company. Mark can finish a planting job in 4 hours, while it takes Rachel 5 hours to finish the same job. If Mark and Rachel will work together on the job, and the cost of labor is $40 per hour, what should the labor estimate be?
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This question is from textbook
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Mark and Rachel both work for Smith Landscaping Company. Mark can finish a planting job in 4 hours, while it takes Rachel 5 hours to finish the same job. If Mark and Rachel will work together on the job, and the cost of labor is $40 per hour, what should the labor estimate be?
:
Let t = time required when working together:
:
Let the completed job = 1
:
+ = 1
:
Multiply equation by 20 to get rid of the denominators
20* + 20* = 20(1)
:
Cancel out the denominators and you have:
5t + 4t = 20
:
9t = 20
:
t = hrs
:
Find the labor cost:
* 40 = $88.89, probably estimate $90 or $100
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