It is currently 14 Dec 2017, 18:48

### 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 June
Open Detailed Calendar

# A bottle manufacturing company has 5 machines, each of which

Author Message
TAGS:

### Hide Tags

Manager
Joined: 28 May 2009
Posts: 155

Kudos [?]: 277 [2], given: 91

Location: United States
Concentration: Strategy, General Management
GMAT Date: 03-22-2013
GPA: 3.57
WE: Information Technology (Consulting)
A bottle manufacturing company has 5 machines, each of which [#permalink]

### Show Tags

23 Jan 2013, 18:22
2
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

77% (00:39) correct 23% (00:46) wrong based on 186 sessions

### HideShow timer Statistics

A bottle manufacturing company has 5 identical machines, each of which produces bottles at the same constant rate. How many bottles will all 5 machines produce running simultaneously for x hours?

(1) Running simultaneously, 3 of the machines produce 72,000 bottles in 2x hours?

(2) Running simultaneously, 2 of the machines produce 24,000 bottles in x hours?
[Reveal] Spoiler: OA

_________________

Kudos [?]: 277 [2], given: 91

Manager
Joined: 18 Oct 2011
Posts: 89

Kudos [?]: 97 [0], given: 0

Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
GPA: 3.3
Re: A bottle manufacturing company has 5 machines, each of which [#permalink]

### Show Tags

23 Jan 2013, 18:58
D

Statement 1: 72000 for 2x hours...reduces to 36000 for x hours. Since rates of each machine is the same 36000/3 = 12000 bottles per machine for x hours. Therefore, 12000 x 5 = 60 000 bottles produced by 5 machines in x hourse. Sufficient.

Statement 2: If 2 of the machines working at the same rate produce 24000 bottles in x hours, that must mean 12000 bottles are produced per machine. Again, 60 000 bottles must be produced from 5 machines in x hours. Sufficient.

Kudos [?]: 97 [0], given: 0

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7796

Kudos [?]: 18130 [1], given: 236

Location: Pune, India
Re: A bottle manufacturing company has 5 machines, each of which [#permalink]

### Show Tags

23 Jan 2013, 19:44
1
KUDOS
Expert's post
megafan wrote:
A bottle manufacturing company has 5 identical machines, each of which produces bottles at the same constant rate. How many bottles will all 5 machines produce running simultaneously for x hours?

(1) Running simultaneously, 3 of the machines produce 72,000 bottles in 2x hours?

(2) Running simultaneously, 2 of the machines produce 24,000 bottles in x hours?

Once you have the bottles produced by 1 machine in x hours, you can easily find the bottles produced by 5 machines in x hrs. Each statement independently gives you the bottles produced by 1 machine in x hrs so each statement alone is sufficient.

Though you don't need to find the actual number of bottles in this case, if you do need to in PS questions, you can use a quick one step process for such work problems. The advantage of doing it in one step is that sometimes, these fractions cancel each other out and your calculations are reduced.

Question: 3 of the machines produce 72,000 bottles in 2x hours. How many bottles will all 5 machines produce running simultaneously for x hours?

You need to find the number of bottles. So

72000 *

2x hrs becomes x hrs. The number of hrs has reduced so number of bottles made will reduce. You multiply 72000 by a number less than 1.

72000 * (1/2)

3 machines have become 5 machines. More machines will make more bottles. So multiply by 5/3, a number more than 1.

72000 * (1/2) * (5/3) = 60,000
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Kudos [?]: 18130 [1], given: 236

Senior Manager
Joined: 22 Nov 2010
Posts: 285

Kudos [?]: 182 [0], given: 75

Location: India
GMAT 1: 670 Q49 V33
WE: Consulting (Telecommunications)
Re: A bottle manufacturing company has 5 machines, each of which [#permalink]

### Show Tags

04 Mar 2013, 01:00
megafan wrote:
A bottle manufacturing company has 5 identical machines, each of which produces bottles at the same constant rate. How many bottles will all 5 machines produce running simultaneously for x hours?

(1) Running simultaneously, 3 of the machines produce 72,000 bottles in 2x hours?

(2) Running simultaneously, 2 of the machines produce 24,000 bottles in x hours?

St 1: 3 * 2x * Rate per machine = 72000====> Rate per machine = 12000/ x

Therefore, work done in x hrs by 5 machines = 12000/x * 5x = 60000

St2: Same process can be followed with this statement.

therefore, D
_________________

YOU CAN, IF YOU THINK YOU CAN

Kudos [?]: 182 [0], given: 75

Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 627

Kudos [?]: 1409 [0], given: 136

Re: A bottle manufacturing company has 5 machines, each of which [#permalink]

### Show Tags

04 Mar 2013, 01:11
megafan wrote:
A bottle manufacturing company has 5 identical machines, each of which produces bottles at the same constant rate. How many bottles will all 5 machines produce running simultaneously for x hours?

(1) Running simultaneously, 3 of the machines produce 72,000 bottles in 2x hours?

(2) Running simultaneously, 2 of the machines produce 24,000 bottles in x hours?

Let the rate of each machine be r. Thus we have to find out the value of $$5*r*x$$. Thus, it is sufficient to find the value of$$r*x$$.

F.S 1 states that $$3*r*2x$$ = 72000. No need to calculate anything, as we know the value of$$r*x$$. Sufficient.

F.S 2 states that $$2*r*x$$ = 24000. Just as above, Sufficient.

D.
_________________

Kudos [?]: 1409 [0], given: 136

Re: A bottle manufacturing company has 5 machines, each of which   [#permalink] 04 Mar 2013, 01:11
Display posts from previous: Sort by