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In 6hrs, 1 person on a bush-hog can cut 10.5 acres of brush. Works 30hrs a week, how many weeks will it take him to cut 168 acres?

User MaxExplode
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Final answer:

A person with a bush-hog cuts at a rate of 1.75 acres per hour. With a 30-hour work week, they cut 52.5 acres each week. It will take approximately 3.2 weeks to cut 168 acres.

Step-by-step explanation:

To calculate how many weeks it will take the person to cut 168 acres of brush with a bush-hog, we first find out how many acres can be cut in one hour and then use that rate to determine the total time needed.

The question states that 1 person can cut 10.5 acres in 6 hours. Therefore, the hourly cutting rate is:

Hourly rate = Total acres cut / Hours worked = 10.5 acres / 6 hours = 1.75 acres/hour

With a 30-hour work week:

Acres cut per week = Hourly rate × Hours per week = 1.75 acres/hour × 30 hours/week = 52.5 acres/week

The total weeks needed to cut 168 acres is:

Total weeks = Total acres to cut / Acres cut per week = 168 acres / 52.5 acres/week

After calculating the above expression, we find that:

Total weeks ≈ 3.2 weeks

Therefore, it will take approximately 3.2 weeks for the person to cut 168 acres of brush.

User John Griffiths
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