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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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Re: Top-Notch Landscaping must mow sixteen 0.75-acre lots and tw [#permalink]
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First we need to find the total number of acres to mow.
16*0.75 = 12 acre
12 * 1.5 = 18 acre

Total Acres to mow is 30 Acres (12+18).

We know a single landscaper can mow 0.5 acres in 20 minutes so in 1 hour or 60 minutes they will mow (3*0.5), which is 1.5 acres in an hour. In 6 hours they can mow 6*1.5, which is equal to 9 acres.
A single person can mow 9 acres in 6 hours, so to find the number of person that can mow 30 acres would be 30/9, which is equal to 3.33.

Since we can't round up below, because it will not meet the intended target, we need to round it forward. So the minimum number of workers needed to complete the action of mowing 30 acres within 6 hours is 4.
Hence, both the values are equal.
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Re: Top-Notch Landscaping must mow sixteen 0.75-acre lots and tw [#permalink]
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