Last visit was: 22 Nov 2024, 23:46 It is currently 22 Nov 2024, 23:46

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [3]
Given Kudos: 136
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [1]
Given Kudos: 136
Send PM
avatar
Manager
Manager
Joined: 08 Dec 2019
Posts: 51
Own Kudos [?]: 22 [0]
Given Kudos: 0
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [0]
Given Kudos: 136
Send PM
Re: Working at the same constant rate, 4 machines, [#permalink]
Libra wrote:
If it takes 4 machines 8 days to make 16 birdhouses, this means that it takes 1 machine 2 days to make 4 birdhouses, correct? Just divide everything by 4.

So we have 1 machine = 2 days = 4 houses. How many are required to make 64 houses in 16 days? The numbers just don't add up. In 16 days, 8 machines can make 32 houses only, NOT 64. Throw the question out.


No, not correct.

this means that it takes 1 machine 2 days to make 4 birdhouses, correct? Just divide everything by 4.
If it were the case that it takes 1 machine 2 days to make 4 birdhouses, then that would mean 1 machine can make 2 bird houses every 1 day
This would mean that 1 machine can make 16 bird houses every 8 days.
HOWEVER, the question tells us that it takes 4 machines 8 days to make 16 birdhouses.
So your conclusion must be incorrect.
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3224 [0]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: Working at the same constant rate, 4 machines, [#permalink]
Use:

M1 x T1 x W2 = M2 x T2 x W1
4 x 8 x 64 = M2 x 16 x 16
M2 = 8

Hence, option C
Manager
Manager
Joined: 11 Jan 2022
Posts: 71
Own Kudos [?]: 11 [0]
Given Kudos: 437
Send PM
Re: Working at the same constant rate, 4 machines, [#permalink]
If 4 machines, can make a total of 2 birdhouses, then 1 machine can make 2/4= 0.5 birdhouses per machine right. Using this approach I arrive at a different answer.

GreenlightTestPrep wrote:
GreenlightTestPrep wrote:
Working at the same constant rate, 4 machines, working together, take 8 days to make a total of 16 birdhouses.
How many such machines are required to make 64 birdhouses in 16 days?
A) 2
B) 4
C) 8
D) 16
E) 32


4 machines take 8 days to make 16 birdhouses.
So, in ONE DAY, the 4 machines, can make a total of 2 birdhouses
So, in 16 days, those same 4 machines can make 32 birdhouses
So, if we add an additional 4 machines (that can also make 32 birdhouses in 16 days), the 8 combined machines will make 64 birdhouses in 16 days.

Answer: C
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [0]
Given Kudos: 136
Send PM
Re: Working at the same constant rate, 4 machines, [#permalink]
Chaithraln2499 wrote:
If 4 machines, can make a total of 2 birdhouses, then 1 machine can make 2/4= 0.5 birdhouses per machine right. Using this approach I arrive at a different answer.


Your conclusion is correct. However, I need to see the rest of your solution.
I'll get you started...

4 machines take 8 days to make 16 birdhouses.
So, in ONE DAY, the 4 machines, can make a total of 2 birdhouses
So, in ONE DAY, the ONE machine, can make a total of 0.5 birdhouses

Please show me the rest of your solution
Prep Club for GRE Bot
Re: Working at the same constant rate, 4 machines, [#permalink]
Moderators:
GRE Instructor
84 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne