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

 It is currently 27 Aug 2016, 20:12

### 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 marzipan factory has two machines producing marzipan. Ever

Author Message
TAGS:

### Hide Tags

Intern
Joined: 20 Jun 2011
Posts: 46
Followers: 1

Kudos [?]: 63 [0], given: 1

A marzipan factory has two machines producing marzipan. Ever [#permalink]

### Show Tags

29 Jul 2012, 14:29
4
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

65% (02:28) correct 35% (01:37) wrong based on 193 sessions

### HideShow timer Statistics

A marzipan factory has two machines producing marzipan. Every day, the two machines operate constantly from 08:00 to 18:00, and produce together N kg of marzipan. What percent of the total amount of marzipan produced by machines W and D together was produced by machine W?

(1) Working alone, it takes machine W twenty five hours to produce (N/2) kg of marzipan.

(2) Machine W alone produces N/2 kg of marzipan in double the time it takes machine D alone to produce N kg of marzipan.
[Reveal] Spoiler: OA

Last edited by superpus07 on 30 Jul 2012, 04:44, edited 1 time in total.
Director
Joined: 22 Mar 2011
Posts: 612
WE: Science (Education)
Followers: 90

Kudos [?]: 819 [2] , given: 43

Re: A marzipan factory has two machines producing marzipan. Ever [#permalink]

### Show Tags

30 Jul 2012, 02:48
2
KUDOS
superpus07 wrote:
A marzipan factory has two machines producing marzipan. Every day, the two machines operate constantly from 08:00 to 18:00, and produce together N kg of marzipan. What percent of the total amount of marzipan produced by machines W and D together was produced by machine W?

(1) Working alone, it takes machine W twenty five hours to produce (N/2) kg of marzipan.

(2) Machine W alone produces N/2 kg of marzipan in double the time it takes machine D alone to produce N kg of marzipan.

Denote by W the rate of machine W, and by D the rate of machine D. We know that 10W+10D=N.
We have to find the ratio $$\frac{10W}{N}$$.

(1) We are given the rate of W, specifically $$W=\frac{N/2}{25}=\frac{N}{50}$$. So, the ratio we are asked to find is $$\frac{10*N/50}{N}=\frac{1}{5}$$.
Sufficient.

(2) From what is given, we can deduce that the rate of machine D is 4 times that of machine W. We can again find the rate of machine W, as 10(W+4W)=N, so $$W=\frac{N}{50}$$.
Then we can proceed as in (1).
Again, sufficient.

Answer D (not C, as posted).
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Manager
Joined: 27 Dec 2011
Posts: 71
Followers: 1

Kudos [?]: 18 [0], given: 12

Re: A marzipan factory has two machines producing marzipan. Ever [#permalink]

### Show Tags

06 Aug 2012, 23:24
Hi,

(2) Machine W alone produces N/2 kg of marzipan in double the time it takes machine D alone to produce N kg of marzipan.

how is option B sufficient? it doesn't state anything about the time for either machine W or machine D; it only compares the work of two machines.

I feel answer should be A.

thanks,
Director
Joined: 22 Mar 2011
Posts: 612
WE: Science (Education)
Followers: 90

Kudos [?]: 819 [0], given: 43

Re: A marzipan factory has two machines producing marzipan. Ever [#permalink]

### Show Tags

07 Aug 2012, 01:46
kartik222 wrote:
Hi,

(2) Machine W alone produces N/2 kg of marzipan in double the time it takes machine D alone to produce N kg of marzipan.

how is option B sufficient? it doesn't state anything about the time for either machine W or machine D; it only compares the work of two machines.

I feel answer should be A.

thanks,

We know that 10W+10D=N. (a)
We have to find the ratio $$\frac{10W}{N}$$.

(2) From what is given, we can deduce that the rate of machine D is 4 times that of machine W. We can again find the rate of machine W, using equation (a) from above: 10(W+4W)=N, so $$W=\frac{N}{50}$$. Then, $$\frac{10W}{N}=10*\frac{1}{50}=\frac{1}{5}$$.

Therefore, sufficient.
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 6830
Location: Pune, India
Followers: 1926

Kudos [?]: 11957 [2] , given: 221

Re: A marzipan factory has two machines producing marzipan. Ever [#permalink]

### Show Tags

10 Aug 2012, 05:27
2
KUDOS
Expert's post
superpus07 wrote:
A marzipan factory has two machines producing marzipan. Every day, the two machines operate constantly from 08:00 to 18:00, and produce together N kg of marzipan. What percent of the total amount of marzipan produced by machines W and D together was produced by machine W?

(1) Working alone, it takes machine W twenty five hours to produce (N/2) kg of marzipan.

(2) Machine W alone produces N/2 kg of marzipan in double the time it takes machine D alone to produce N kg of marzipan.

If you understand your work-rate concepts well, you can do this without any calculations.

Given: W and D take 10 hrs to complete 1 work (N kg of Marzipan) together. So we know their combined rate of work. If you recall your work rate theory, rates are additive.
Rate of W + Rate of D = Combined Rate
If we get the rate of work of one of the machines, we can easily find the rate of work of the other.

Required: Amount of work done by W/Amount of work done together = Rate of work of W/Combined Rate

Stmnt 1: W takes 25 hrs for 1/2 work.
We now know the rate of work of W. We also have the combined rate. So we have the required ratio

Stmnt 2: To do 1/2 work, W takes twice the time taken by D to do 1 work.
So W takes 4 times the time taken by D to do one work. Since we have ratio of time taken, we get ratio of rates and hence the required rate.

(If you are wondering how,
Ratio of time taken by W:D = 4:1 so rate of work of W:D = 1:4
Rate of work of W/Combined Rate = 1/(1+4) = 1/5)

_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

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

Veritas Prep Reviews

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 11103
Followers: 511

Kudos [?]: 134 [0], given: 0

Re: A marzipan factory has two machines producing marzipan. Ever [#permalink]

### Show Tags

26 Jul 2014, 02:10
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: A marzipan factory has two machines producing marzipan. Ever   [#permalink] 26 Jul 2014, 02:10
Similar topics Replies Last post
Similar
Topics:
5 A factory has three types of machines – A, B, and C – each of which wo 1 21 Jul 2016, 04:42
39 Machines A and B each produce tablets at their respective co 19 05 Oct 2013, 03:37
6 Six shipments of machine parts were shipped from a factory 4 18 Nov 2012, 13:45
2 Machines X and Y produced identical bottles 4 03 Jul 2011, 00:53
242 Machines X and V produced identical bottles at different 18 03 Nov 2010, 17:36
Display posts from previous: Sort by