GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 22 Sep 2021, 13:21
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close

GMAT 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 GMAT 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
Two machines, Y and Z, work at constant rates producing identical item
11 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

avatar
umg4147
Intern
Intern
Joined: 17 Sep 2015
Posts: 28
Location: United Kingdom
Schools: LBS '17, Cass '17, Imperial '18, Judge'17
GMAT 1: 640 Q42 V38
GPA: 3.1
Reviews Badge
Two machines, Y and Z, work at constant rates producing identical item [#permalink] New post  Updated on: 16 May 2016, 10:51
3
Kudos
58
Bookmarks
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

76% (01:52) correct 24% (02:00) wrong based on 876 sessions

Hide Show timer Statistics

Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 3 items in the same time Machine Z produces 2 items. If machine Y takes 9 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?

A. 6
B. 9
C. 9 1/2
D. 12
E. 13 1/2
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

Originally posted by umg4147 on 16 May 2016, 10:46.
Last edited by Bunuel on 16 May 2016, 10:51, edited 1 time in total.
Renamed the topic and edited the question.
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Expert Reply
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 79219
Premium Member CAT Tests Forum Quiz Mode Top Member of the Month
Two machines, Y and Z, work at constant rates producing identical item [#permalink] New post  16 May 2016, 10:53
8
Kudos
14
Bookmarks
Expert Reply
umg4147 wrote:
Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 3 items in the same time Machine Z produces 2 items. If machine Y takes 9 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?

A. 6
B. 9
C. 9 1/2
D. 12
E. 13 1/2


Machine Z is 1.5 times slower than machine Y. So, if machine Y takes 9 minutes to produce a batch of items, then it takes machine Z 9*1.5 = 13.5 minutes to produce the same number of items.

Answer: E.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Most Helpful Community Reply
avatar
saiesta
Manager
Manager
Joined: 03 Jan 2015
Posts: 69
GMAT ToolKit User
Re: Two machines, Y and Z, work at constant rates producing identical item [#permalink] New post  14 Jun 2016, 12:35
8
Kudos
1
Bookmarks
lf you assume that machine Y produces 3 items per minute then machine Z produces 2 items per minute. If machine Y takes 9 minutes to produce a batch of items, then machine Y produces 27 items in these 9 minutes. Since machine Z produces the same number of items, it should take machine Z 13.5 minutes to produce 27 items.

At times, it just helps to plug in numbers...
General Discussion
avatar
umg4147
Intern
Intern
Joined: 17 Sep 2015
Posts: 28
Location: United Kingdom
Schools: LBS '17, Cass '17, Imperial '18, Judge'17
GMAT 1: 640 Q42 V38
GPA: 3.1
Reviews Badge
Re: Two machines, Y and Z, work at constant rates producing identical item [#permalink] New post  16 May 2016, 12:36
Hey awsome bunuel, i went a bit long in deducing the actual relation between the Rates.

Now atleast i know what to think when i see such question and dont need to go on the practice pad .
avatar
P
gracie
VP
VP
Joined: 07 Dec 2014
Posts: 1206
Two machines, Y and Z, work at constant rates producing identical item [#permalink] New post  14 Jun 2016, 14:16
4
Kudos
2
Bookmarks
rate z/rate y=2/3
time z/time y=3/2
3/2*9=13 1/2 minutes
User avatar
S
hemantbafna
Manager
Manager
Joined: 30 Jan 2020
Posts: 185
Location: India
WE:Accounting (Accounting)
GMAT ToolKit User
Re: Two machines, Y and Z, work at constant rates producing identical item [#permalink] New post  28 Jul 2020, 02:23
umg4147 wrote:
Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 3 items in the same time Machine Z produces 2 items. If machine Y takes 9 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?

A. 6
B. 9
C. 9 1/2
D. 12
E. 13 1/2


Y- 3 items
Z- 2 items
Let the batch be of 27 items, therefore Y would take 1 min to produce 3 units and 9 mins to produce 27 items. (9 items taken is consistent with the time mentioned in the question for Y to produce the batch of items)
Time required by X to produce 27 items is 27/2 (as in 1 min X produces 2 units) = 13.5 mins or 13 1/2 mins.
E
_________________
Stay Hungry, Stay Foolish!
Signature Read More
User avatar
G
Genoa
Senior Manager
Senior Manager
Joined: 20 Apr 2020
Status:The only time success comes before work is in the dictionary
Posts: 411
Location: Italy
WE:Accounting (Consulting)
Reviews Badge
Two machines, Y and Z, work at constant rates producing identical item [#permalink] New post  27 Aug 2020, 08:28
2
Kudos
\(R_Y = \frac{3}{t}\)

\(R_Z = \frac{2}{t}\)

Establish t = 1

In 9 minutes:

Y produces \(\frac{3}{1} * 9 = 27\)

Z produces \(\frac{2}{t} * 9 = 18\)

\(27 - 18 = 9 \)

"How much time will Z need to produce other 9 items?"

\(\frac{9}{2} = 4.5 \)

Total time needed by Z = 9 + 4.5 = 13.5
User avatar
V
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3766
Re: Two machines, Y and Z, work at constant rates producing identical item [#permalink] New post  27 Aug 2020, 09:09
1
Kudos
Expert Reply
Given

    • Two machines, Y and Z, work at constant rates producing identical items.
    • Machine Y produces 3 items at the same time Machine Z produces 2 items.
    • Machine Y takes 9 minutes to produce a batch of items.

To Find

    • Minutes it takes for machine Z to produce the same number of items.


Approach and Working Out

    • Speed ratio –
      o \(\frac{Y}{Z }\) = \(\frac{3}{2 }\)

    • Time ratio –
      o \(\frac{Y}{Z }\) = \(\frac{2}{3 }\)
    • Time for Y = 9 minutes.

    • Time for Z = \(\frac{3}{2 }\)× 9 minutes
      o = 13 ½ minutes

Correct Answer: Option E
_________________
Free Trial: Get 25 AI powered videos | 400 practice questions | 8 free webinars

Case studies: How a personalized study plan can save you 60+ hours

MBA admits: M7 admits | INSEAD admits | ISB admits [40+ case studies]

Image
Learn why e-GMAT has 10X more 700+ verified scores than other GMATClub partners – Read our 2000+ reviews
Signature Read More
User avatar
G
Genoa
Senior Manager
Senior Manager
Joined: 20 Apr 2020
Status:The only time success comes before work is in the dictionary
Posts: 411
Location: Italy
WE:Accounting (Consulting)
Reviews Badge
Re: Two machines, Y and Z, work at constant rates producing identical item [#permalink] New post  27 Aug 2020, 09:13
EgmatQuantExpert wrote:
Given

    • Two machines, Y and Z, work at constant rates producing identical items.
    • Machine Y produces 3 items at the same time Machine Z produces 2 items.
    • Machine Y takes 9 minutes to produce a batch of items.

To Find

    • Minutes it takes for machine Z to produce the same number of items.


Approach and Working Out

    • Speed ratio –
      o \(\frac{Y}{Z }\) = \(\frac{3}{2 }\)

    • Time ratio –
      o \(\frac{Y}{Z }\) = \(\frac{2}{3 }\)
    • Time for Y = 9 minutes.

    • Time for Z = \(\frac{3}{2 }\)× 9 minutes
      o = 13 ½ minutes

Correct Answer: Option E


Hi!
Great method.

Could you please explain it in further details?
User avatar
V
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 4522
Location: India
Schools: HBS '22, CBS '22, Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Reviews Badge Forum Quiz Mode
Re: Two machines, Y and Z, work at constant rates producing identical item [#permalink] New post  27 Aug 2020, 09:19
1
Kudos
Given: Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 3 items in the same time Machine Z produces 2 items.
Asked: If machine Y takes 9 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?

Machine Y takes time to produce a batch of items = 9 mins
Machine X will take time to produce a batch of items = 9*3/2 = 27/2 = 13 1/2

IMO E
_________________
Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 20595
Re: Two machines, Y and Z, work at constant rates producing identical item [#permalink] New post  31 Aug 2021, 20:25
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: Two machines, Y and Z, work at constant rates producing identical item [#permalink]
31 Aug 2021, 20:25
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10399 posts
Bunuel
Math Expert
79219 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2705 posts
generis
Senior SC Moderator
4990 posts

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

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions