Last visit was: 24 Nov 2024, 22:06 It is currently 24 Nov 2024, 22:06

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
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Own Kudos [?]: 3626 [7]
Given Kudos: 1053
GPA: 3.39
Send PM
Most Helpful Community Reply
Manager
Manager
Joined: 03 Nov 2021
Posts: 92
Own Kudos [?]: 101 [3]
Given Kudos: 17
Send PM
General Discussion
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12197 [1]
Given Kudos: 136
Send PM
Intern
Intern
Joined: 25 Nov 2023
Posts: 43
Own Kudos [?]: 19 [1]
Given Kudos: 222
Concentration: Finance, Technology
Send PM
Re: Running at their respective constant rates, Machine X takes 2 days [#permalink]
1
With this kinda question it is always best to assign nice work values that makes sense with 2days & 3days. So let the work be to make 12 widgets.

If it takes Machine X 2 more days than Machine Y to make 12 widgets, it means, Machine Y takes 4 days at a rate of 3/day to make 12 widgets and Machine X takes 6 days at 2/day to make 12 widgets.

So working together to make 5/4(12) means they made 15 widgets at a rate of 5/day in 3days. Thus working alone and at a rate of 2/day, Machine X would take 12 days to make 2(12) widgets. Hope this helps.
GRE Instructor
Joined: 06 Nov 2023
Posts: 84
Own Kudos [?]: 89 [1]
Given Kudos: 18
Send PM
Re: Running at their respective constant rates, Machine X takes 2 days [#permalink]
1
Let number of days it will take machine Y to produce w widgets be a


Rate of machine Y

w/a

Rate of machine X

w/a+2



It will take two of them 3 days to produce 5w/4 widgets

w/a+2 + w/a = 5w/12


12aw + 12w(a + 2) = 5aw(a+2)


14aw + 24w = 5wa^2

5a^2 -14a-24 =0

5a(a-4) + 6(a-4) =0

a=4


If machine X alone can produce w widgets in 6 days, it will produce 2w widgets in 12 days.

Answer E

Adewale Fasipe, quant instructor from Lagos Nigeria.
Prep Club for GRE Bot
Re: Running at their respective constant rates, Machine X takes 2 days [#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