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

 It is currently 11 Feb 2016, 16:36

### 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

# Working simultaneously and independently at an identical

Author Message
Manager
Joined: 23 Mar 2008
Posts: 219
Followers: 3

Kudos [?]: 72 [0], given: 0

Working simultaneously and independently at an identical [#permalink]  10 May 2008, 22:25
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product P in 6 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 4 days?

a) 24
b)18
c)16
d) 12
e)8
Director
Joined: 23 Sep 2007
Posts: 790
Followers: 5

Kudos [?]: 138 [0], given: 0

Re: work [#permalink]  10 May 2008, 22:51
b

4 machines can do the job in 6 days
1 machine can do the job in 24 days

1 machine can do 3 jobs in 72 days

72 days is 18 times more than 4 days

18 machines do 3 jobs in 4 days
Manager
Joined: 31 Oct 2007
Posts: 113
Location: Frankfurt, Germany
Followers: 2

Kudos [?]: 39 [0], given: 0

Re: work [#permalink]  10 May 2008, 23:29
puma wrote:
Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product P in 6 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 4 days?

a) 24
b)18
c)16
d) 12
e)8

For this question, we can work out the no. of units per day per machine.

4 machines, x units in 6 days ---> $$\frac{\frac{x}{6}}{4}$$ = $$\frac{x}{24}$$ unit-day per machine
Thus, with 3x units over 4 days ---> $$\frac{3x}{4}$$ divided by $$\frac{x}{24}$$ gives us 18 machines

Ans: B (18)
_________________

Jimmy Low, Frankfurt, Germany
Blog: http://mytrainmaster.wordpress.com
GMAT Malaysia: http://gmatmalaysia.blogspot.com

Re: work   [#permalink] 10 May 2008, 23:29
Display posts from previous: Sort by