GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Jan 2019, 03:18

### 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

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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.

# A certain manufacturer has three machines producing the same item. If

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52295
A certain manufacturer has three machines producing the same item. If  [#permalink]

### Show Tags

04 Feb 2018, 20:40
00:00

Difficulty:

15% (low)

Question Stats:

88% (01:27) correct 12% (01:57) wrong based on 36 sessions

### HideShow timer Statistics

A certain manufacturer has three machines producing the same item. If Machine X produces 1/4 as many of the item as Machine Y produces in the same time, and Machine Y produces twice as many of the item as Machine Z in the same time, then during a fixed period Machine Z produces what fraction of the total number of items produced?

(A) 1/14
(B) 2/7
(C) 1/3
(D) 1/2
(E) 4/7

_________________
Senior Manager
Joined: 17 Oct 2016
Posts: 318
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: A certain manufacturer has three machines producing the same item. If  [#permalink]

### Show Tags

04 Feb 2018, 20:48
B

Let the rate of machine X, Y and Z be x, y and z.

We have,

x=y/4

and

y=2z

So total productivity = x+y+z

=y/4+y+z

=2z/4+2z+z

=z/2+3z

=7z/2

Hence total number of items produced = time/rate

=2/7
_________________

Help with kudos if u found the post useful. Thanks

Intern
Joined: 04 May 2015
Posts: 17
Re: A certain manufacturer has three machines producing the same item. If  [#permalink]

### Show Tags

04 Feb 2018, 21:10
Bunuel wrote:
A certain manufacturer has three machines producing the same item. If Machine X produces 1/4 as many of the item as Machine Y produces in the same time, and Machine Y produces twice as many of the item as Machine Z in the same time, then during a fixed period Machine Z produces what fraction of the total number of items produced?

(A) 1/14
(B) 2/7
(C) 1/3
(D) 1/2
(E) 4/7

let the no. of items produced in time t by Y is a
so items produced by x be a/4
items produced by z be a/2
all items produced in time t=a/4+a+a/2=7a/4
fraction of work by z : (a/2)/(7a/4)=2/7
help with kudos if u liked my explaination.TIA
SVP
Joined: 26 Mar 2013
Posts: 2002
A certain manufacturer has three machines producing the same item. If  [#permalink]

### Show Tags

05 Feb 2018, 12:37
Bunuel wrote:
A certain manufacturer has three machines producing the same item. If Machine X produces 1/4 as many of the item as Machine Y produces in the same time, and Machine Y produces twice as many of the item as Machine Z in the same time, then during a fixed period Machine Z produces what fraction of the total number of items produced?

(A) 1/14
(B) 2/7
(C) 1/3
(D) 1/2
(E) 4/7

x : y
1: 4

y : z
2 : 1

To compare all ratios, we need to multiply y/z ration by 2......Hence

x : y : z
1: 4 : 2

$$\frac{Z}{total}$$ = $$\frac{2}{7}$$

A certain manufacturer has three machines producing the same item. If &nbs [#permalink] 05 Feb 2018, 12:37
Display posts from previous: Sort by