It is currently 18 Jan 2018, 21:56

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Running at the same constant rate, 6 identical machines can

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139451 [0], given: 12790

Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 20 Aug 2012, 02:05
Expert's post
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (00:57) correct 6% (02:15) wrong based on 1149 sessions

HideShow timer Statistics

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

(A) 648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800

Practice Questions
Question: 23
Page: 155
Difficulty: 600
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 139451 [0], given: 12790

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139451 [0], given: 12790

Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 20 Aug 2012, 02:05
Expert's post
1
This post was
BOOKMARKED
SOLUTION

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

(A) 648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800

6 machines produce 270 bottles per minute;
1 machine produces 270/6=45 bottles per minute;
10 machines produce 45*10=450 bottles per minute;

In 4 minutes 10 machines produce 450*4=1,800 bottles.

Answer: B.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 139451 [0], given: 12790

Senior Manager
Senior Manager
User avatar
Joined: 19 Apr 2011
Posts: 274

Kudos [?]: 400 [0], given: 51

Schools: Booth,NUS,St.Gallon
Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 20 Aug 2012, 07:30
Ans=(270*10*4)/(6)
=1800

option B.
_________________

+1 if you like my explanation .Thanks :)

Kudos [?]: 400 [0], given: 51

Manager
Manager
avatar
Joined: 28 Sep 2011
Posts: 67

Kudos [?]: 34 [0], given: 10

Location: United States
GMAT 1: 520 Q34 V27
GMAT 3: 690 Q47 V38
GPA: 3.01
WE: Information Technology (Commercial Banking)
GMAT ToolKit User
Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 20 Aug 2012, 08:52
Each machine can produce (270/6) = 45 bottles per minute

45 * 10 = 450 bottles per minute

450 * 4 = 1800 bottles in 4 minutes.

Kudos [?]: 34 [0], given: 10

1 KUDOS received
Intern
Intern
avatar
Joined: 04 Apr 2013
Posts: 31

Kudos [?]: 19 [1], given: 4

Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 12 Apr 2013, 09:11
1
This post received
KUDOS
Let's take the approach that uses the answer choices to eliminate wasted time.

270/6 is a little less than 300/60 = 50 bottles per minute per machine. 10 machines = 500 per minute. 4 minutes worth = 2000 bottles as being slightly HIGHER than the answer we need.

Looking at the answers it is clear...we can only choose (B) 1800 bottles starting with an upper bound of 2000.

Kudos [?]: 19 [1], given: 4

Manager
Manager
avatar
Joined: 17 Jul 2010
Posts: 122

Kudos [?]: 58 [0], given: 43

Running at the same constant rate, 6 identical machines can prod [#permalink]

Show Tags

New post 22 Apr 2013, 17:33
270/6 = 45 BPM X 10 Machines = 450 BPM X 4 MIN = 1,800.

Kudos if this is easier!

Kudos [?]: 58 [0], given: 43

Manager
Manager
avatar
Joined: 07 Apr 2014
Posts: 135

Kudos [?]: 33 [0], given: 81

Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 10 Sep 2014, 00:08
Bunuel wrote:
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

(A) 648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800

Practice Questions
Question: 23
Page: 155
Difficulty: 600


6 identical machine produce 270bottles/min then 1machine - 45bottles/min

10 machine - 450 bottles/min

for 4 minutes--> 1800

Kudos [?]: 33 [0], given: 81

Director
Director
User avatar
G
Joined: 23 Jan 2013
Posts: 602

Kudos [?]: 36 [0], given: 41

Schools: Cambridge'16
Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 15 Nov 2014, 20:52
better as fractions:

270*10/6*4/1=1800

B

Kudos [?]: 36 [0], given: 41

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1844

Kudos [?]: 2861 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 20 Nov 2014, 00:59
Answer = B

Equation would be

\(= \frac{270}{6} * 10 * 4 = 1800\)
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2861 [0], given: 193

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1820

Kudos [?]: 1048 [0], given: 5

Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 25 May 2016, 06:11
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

(A) 648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800


To solve this problem, we first want to determine the rate of each machine. Since each machine works at the same constant rate, each machine’s rate is 270/6 = 45 bottles per minute. Now since there are 10 such machines, the rate of the 10 machines together is 10 x 45 = 450 bottles per minute.

Finally, we are asked to determine the number of bottles these 10 machines can produce in 4 minutes. Thus:

rate x time = work

450 x 4 = 1,800 bottles

Answer: B
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 1048 [0], given: 5

Current Student
User avatar
Joined: 18 Oct 2014
Posts: 902

Kudos [?]: 472 [0], given: 69

Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 25 May 2016, 07:55
Bunuel wrote:
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

(A) 648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800

Practice Questions
Question: 23
Page: 155
Difficulty: 600


6 machines can produce 270 bottles, so 10 machines can produce 270*10/6

This can be produced in 1 minute. Total bottles that can be produced in 4 minutes :-
270*10*4/6= 1800 bottles

B is the answer
_________________

I welcome critical analysis of my post!! That will help me reach 700+

Kudos [?]: 472 [0], given: 69

Intern
Intern
User avatar
Joined: 20 Oct 2015
Posts: 46

Kudos [?]: 2 [0], given: 8

Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 05 Jul 2016, 04:04
Bunuel wrote:
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

(A) 648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800

Practice Questions
Question: 23
Page: 155
Difficulty: 600


r*t=w
we have 6 machine here so

6*(r*1)=270
r*1=45===> r=45

r*t=w

we got 10 machine
10*(r*t)=w
10*(45*4)=1800

t was 4 according to the question
B

Kudos [?]: 2 [0], given: 8

Senior Manager
Senior Manager
User avatar
G
Joined: 22 Nov 2016
Posts: 251

Kudos [?]: 70 [0], given: 42

Location: United States
Concentration: Leadership, Strategy
GPA: 3.4
Reviews Badge CAT Tests
Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 26 Jun 2017, 15:52

Looking at the answer choices we can approximate and save a lot of time



Rate of each bottle \(= \frac{270}{6}\) = This is somewhere between 40 and 50 bottles per minute

10 bottles will produce between 400 and 500 bottles per minute
in 4 minutes the same 10 bottles will produce between 1600 and 2000 bottles.

The only answer that lies in this range is B
_________________

Kudosity killed the cat but your kudos can save it.

Kudos [?]: 70 [0], given: 42

Expert Post
1 KUDOS received
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10707

Kudos [?]: 3777 [1], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: Running at the same constant rate, 6 identical machines can [#permalink]

Show Tags

New post 07 Dec 2017, 14:09
1
This post received
KUDOS
Expert's post
Hi All,

We're told that 6 identical machines can produce a total of 270 bottles per minute. We're asked for the number of bottles that 10 such machines would produce in 4 minutes when working at this same rate.

Since this is just a big 'rate' question, you can approach the math in a couple of different ways. From the information in the first sentence, since 6 divides evenly into 270, you could figure out the rate/minute for 1 machine...

270/6 = 45 bottles/minute for 1 machine

Since we have 10 machines working for 4 minutes each, that would give us...

(10)(4)(45) = 1800 bottles

Final Answer:
[Reveal] Spoiler:
B


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3777 [1], given: 173

Re: Running at the same constant rate, 6 identical machines can   [#permalink] 07 Dec 2017, 14:09
Display posts from previous: Sort by

Running at the same constant rate, 6 identical machines can

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.