Find all School-related info fast with the new School-Specific MBA Forum

It is currently 26 Jul 2014, 09:13

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Machine A and Machine B can produce 1 widget in 3 hours

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 05 May 2005
Posts: 81
Followers: 1

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

Machine A and Machine B can produce 1 widget in 3 hours [#permalink] New post 18 May 2007, 16:44
Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?

a) 1/2

b) 2

c) 3

d) 5

e) 6
Manager
Manager
avatar
Joined: 02 May 2007
Posts: 155
Followers: 1

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

GMAT Tests User
Re: Word Problem - machines [#permalink] New post 18 May 2007, 19:26
above720 wrote:
Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?

a) 1/2

b) 2

c) 3

d) 5

e) 6


(E) it is

A = hours it takes machine A to produce 1 widget on its own
B = hours it takes machine B to produce 1 widget on its own

1/A + 1/B = 1/3
=> 3B + 3A = AB (1)

2/A + 1/B = 1/2
=> 4B + 2A = AB (2)

(1) & (2) => A = B

=> A = 6
Director
Director
User avatar
Joined: 26 Feb 2006
Posts: 908
Followers: 3

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

GMAT Tests User
Re: Word Problem - machines [#permalink] New post 18 May 2007, 20:29
above720 wrote:
Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?

a) 1/2

b) 2

c) 3

d) 5

e) 6


= inverse of (1/2 - 1/3) = inverse (1/6) = 6 hours.
Current Student
User avatar
Joined: 22 Apr 2007
Posts: 1097
Followers: 5

Kudos [?]: 21 [0], given: 0

GMAT Tests User
 [#permalink] New post 18 May 2007, 20:32
A+B = 1/3 => 3A + 3B = 1 => 6A + 6B = 2
2A+B = 1/2 => 4A + 2B = 1 => 12A + 6B = 3

Together, 6A = 1 => A = 1/6. So A takes 6 hours to produce the widget
  [#permalink] 18 May 2007, 20:32
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic If Machine X can produce 80 widgets in 4 hours guerrero25 3 27 Aug 2013, 00:27
6 Machine A can fill an order of widgets in a hours. Machine B nshang 2 17 Sep 2011, 01:36
1 Experts publish their posts in the topic Machine A working alone can complete a job in 3 1/2 hours Lolaergasheva 2 08 Mar 2011, 01:23
18 Experts publish their posts in the topic Machine A can process 6000 envelopes in 3 hours. Machines B shash 14 25 Nov 2010, 07:25
18 Experts publish their posts in the topic Machine A and Machine B can produce 1 widget in 3 hours work changhiskhan 14 03 Apr 2010, 12:22
Display posts from previous: Sort by

Machine A and Machine B can produce 1 widget in 3 hours

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.