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
If Naomi can mow 12.5% of a field every hour, then she can mow 25 identical fields in how many hours?
This topic has expert replies
-
BTGmoderatorDC
- Moderator
- Posts: 6595
- Joined: 07 Sep 2017
- Followed by:20 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
BTGmoderatorDC wrote: ↑Sat Feb 19, 2022 8:27 pmIf 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!
GMAT/MBA Expert
-
[email protected]
- GMAT Instructor
- Posts: 16086
- Joined: 08 Dec 2008
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1267 members
- GMAT Score:770
12.5% = 12.5/100 = 1/8, which means Naomi's RATE is 1/8 of a field per hour.BTGmoderatorDC wrote: ↑Sat Feb 19, 2022 8:27 pmIf 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
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
Answer: E
Brent Hanneson - Creator of GMATPrepNow.com
