SOLUTION: Solve the problem Mark and Rachel both work for Smith Landscaping Company. Mark can finish a planting job in 2 hours, while it takes Rachel 4 hours to finish the same job. If

Question 32727This question is from textbook algebra
: Solve the problem

Mark and Rachel both work for Smith Landscaping Company. Mark can finish a planting job in 2 hours, while it takes Rachel 4 hours to finish the same job. If mark abd Rachel will work together on the job, and the cost of labor is $45 per housr, what should the labor estimate be? This question is from textbook algebra

Answer by mukhopadhyay(490) (Show Source): You can put this solution on YOUR website!
Let the time taken to do the job by Mark and Rachel together be t hours
Mark does t/2 portion of the job;
Rachel does t/4 portion of the job;
Mark's portion + Rachel's portion = 1
=> t/2 + t/4 = 1
=> 2t+t = 4
=> t = 4/3;
Time taken by Smith Landscaping Company to finish the job is 4/3 hours.
Cost of labour is $45 per hour; cost for 4/3 hours = 45(4/3) = $60.
Answer: $60.00
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