## If Naomi can mow 12.5% of a field every hour, then she can mow 25 identical fields in how many hours?

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### If Naomi can mow 12.5% of a field every hour, then she can mow 25 identical fields in how many hours?

by BTGmoderatorDC » Sat Feb 19, 2022 8:27 pm

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## Global Stats

If Naomi can mow 12.5% of a field every hour, then she can mow 25 identical fields in how many hours?

A. 8
B. 10
C. 25
D. 100
E. 200

OA E

Source: Princeton Review

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### Re: If Naomi can mow 12.5% of a field every hour, then she can mow 25 identical fields in how many hours?

by swerve » Sun Feb 20, 2022 5:09 am
BTGmoderatorDC wrote:
Sat Feb 19, 2022 8:27 pm
If Naomi can mow 12.5% of a field every hour, then she can mow 25 identical fields in how many hours?

A. 8
B. 10
C. 25
D. 100
E. 200

OA E

Source: Princeton Review

Since $$12.5\% = \dfrac{1}{8},$$ let each field $$= 8$$ units.

Since Naomi mows $$\dfrac{1}{8}$$ of an $$8$$-unit field each hour, her hourly rate $$= \dfrac{1}{8}\cdot (8) = 1$$ unit per hour.

Since each field $$= 8$$ units, a job composed of $$25$$ fields $$= 25 \cdot 8 = 200$$ units.

Since the hourly rate $$= 1$$ unit per hour, the time to complete a $$25$$-field job composed of $$200$$ units $$=\dfrac{\text{work}}{\text{rate}}=\dfrac{200}{1}=200$$ hours

Hope this helps!

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### Re: If Naomi can mow 12.5% of a field every hour, then she can mow 25 identical fields in how many hours?

by [email protected] » Sun Feb 20, 2022 5:33 am
BTGmoderatorDC wrote:
Sat Feb 19, 2022 8:27 pm
If Naomi can mow 12.5% of a field every hour, then she can mow 25 identical fields in how many hours?

A. 8
B. 10
C. 25
D. 100
E. 200

OA E

Source: Princeton Review
12.5% = 12.5/100 = 1/8, which means Naomi's RATE is 1/8 of a field per hour.
We want to determine the time it will take for her to mow 25 identical fields.

time = output/rate = 25/(1/8)
= (25)(8/1)
= 200