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Re: Top-Notch Landscaping must mow sixteen 0.75-acre lots and tw [#permalink]
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Carcass wrote:
Top-Notch Landscaping must mow sixteen 0.75-acre lots and twelve 1.5-acre lots to complete a certain job. Each of the company’s landscapers can mow at a rate of 20 minutes per 0.5 acre.

Quantity A
Quantity B
The minimum number of landscapers needed to complete the job in 6 hours
4




Number of acres = (16*.75) + (12*1.5) = 30.

Using the second piece of information, we can determine that each landscaper mows 1.5 acres per hour, or 7.5 acres in 6 hours. Therefore, we need 4 landscapers to mow 30 acres in 6 hours and the correct answer is C.
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Top-Notch Landscaping must mow sixteen 0.75-acre lots and tw [#permalink]
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A bit more complicated, but it might help someone:
16(0.75) = 12
12(1.5) = 18
12+18 = 30 (the total number of acres needed to complete a job)

There's 6 hours to complete a job:
r * t = w
r = 5 acres/hour

The given rate per worker is 0.5 acres for 20 minutes or 1.5 acres for 1 hour.
Since the total rate is 5 acres per hour, all of the worker's rates added together needs to equal 5 acres/hr.

5/1.5 = 3.333

However, you can't have 1/3 of a person, so you would round up to 4 people.

Answer C.
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