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

It is currently 31 Aug 2016, 10:26
GMAT Club Tests

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

In the "Mashburn" pharmaceutical company there are two machi

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

Hide Tags

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

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

In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 02 Oct 2012, 17:25
14
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

56% (03:54) correct 44% (03:02) wrong based on 292 sessions

HideShow timer Statistics

In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. 
If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?

A. 13:15
B. 14:15
C. 14:30
D. 15:40
E. 19:15
[Reveal] Spoiler: OA
Expert Post
10 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34527
Followers: 6313

Kudos [?]: 80083 [10] , given: 10027

Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 03 Oct 2012, 03:27
10
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
superpus07 wrote:
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. 
If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?

a) 13:15
b) 14:15
c) 14:30
d) 15:40
e) 19:15


Thanks!


Say red machine's daily quota is 100 pills and blue machine's is 120 pills (20% greater), so total of 100+120=220 pills. Half of it would be 110 pills.

To fulfill daily quota red machine must produce 100/10=10 pills per hour and blue machine must produce 120/10=12 pills per hour.

Their combined rate, in this case, would be 10+12=22 pills per hour.

From 8:00 till 10:45, or in 11/4 hours, blue machine will produce 11/4*12=33 pills. After that together they must produce 110-33=77 pills. For that they will need 77/22=7/2 hours, or 3 hours and 30 minutes.

Therefore half of the combined daily quota will be manufactured at 10:45 + 3 hours and 30 minutes = 14:15.

Answer: B.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: 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

Intern
Intern
avatar
Status: Preparing for GMAT
Joined: 19 Sep 2012
Posts: 19
Location: India
GMAT Date: 01-31-2013
WE: Information Technology (Computer Software)
Followers: 1

Kudos [?]: 10 [0], given: 8

Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 25 Oct 2012, 07:00
very tricky question:

let the total reb be 100 and blue be 120( 20% greater)

so half will be 120 +100 /2 = 110

per hour by blue = 12 so in 2hrs 45 mins it will be 33( or at 10:45) so balance is 110 -33 = 77

per hr by red is 10 so from 10:45 combined will be 12+10 =22 /hr

by 1 :45 it will be 99
then by 2:15 (22/2) 99 +11 = 110

So By 2:45 it will complete.
_________________

Rajeev Nambyar
Chennai, India.

1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 25

Kudos [?]: 386 [1] , given: 11

GMAT ToolKit User
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 14 Nov 2012, 02:10
1
This post received
KUDOS
Rate of Blue = \(\frac{1.2x}{10}\)
Rate of Red = \(\frac{x}{10}\)

Let x = 100

\(Rate of Blue = \frac{120}{10}=\frac{12}{1 hr}\)
\(Rate of Red = \frac{100}{10}=\frac{10}{1 hr}\)

Quota for 10 hours or 1 day: 220 (combined)
Half the quota: 110

If Blue machine runs from 8-10:45 which is \(2\frac{3}{4}=\frac{11}{4}hrs\)
Rt = W
\(\frac{12}{1hr}x\frac{11}{4}=33\)

How many hours more to produce 110-33 = 77 by two machines now running together?

\(\frac{22}{1hr}=\frac{77}{t}\)
t=3.5 hrs

Answer: 14:15
_________________

Impossible is nothing to God.

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34527
Followers: 6313

Kudos [?]: 80083 [0], given: 10027

Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 10 Jul 2013, 03:58
Current Student
User avatar
Joined: 28 Apr 2012
Posts: 311
Location: India
Concentration: Finance, Technology
GMAT 1: 650 Q48 V31
GMAT 2: 770 Q50 V47
WE: Information Technology (Computer Software)
Followers: 26

Kudos [?]: 353 [0], given: 142

Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 10 Jul 2013, 07:24
1
This post was
BOOKMARKED
superpus07 wrote:
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. 
If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?

a) 13:15
b) 14:15
c) 14:30
d) 15:40
e) 19:15


Thanks!


Blue machine(B) will complete its half in 5 hours, at 8:00 + 5 = 13:00 Hrs
Red machine(R) will complete its half in 5 hours, at 10:45 + 5 = 15:45 Hrs

If we combine, B will first complete its work at 13:00 Hrs, then B and R will work together for remaining portion of 2:45 Hrs of work for R.


B is 20% efficient than R, so B = 1.2R
R alone would complete the work in 2:45 Hrs = 11/4 Hrs
R + 1.2R = 2.2R would complete the work in \(\frac{11}{4}*\frac{1}{2.2} = \frac{11}{4}*\frac{10}{22}=\frac{5}{4}=1:15 Hours\)

Time = 13:00 + 1:15 = 14:15 Hours
_________________

"Appreciation is a wonderful thing. It makes what is excellent in others belong to us as well."
― Voltaire


Press Kudos, if I have helped.
Thanks!

Current Student
avatar
Joined: 03 Aug 2012
Posts: 915
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Followers: 21

Kudos [?]: 601 [0], given: 322

Premium Member
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 26 Sep 2013, 22:44
I appreciate the problem at hand.

Since we need to calculate the 'half', we can consider that

Daily quota of Machine Red is 100
=>Daily quota of Machine Blue is 1.2(100)=120

Each operates for 10 hours a day, then

Rate = Daily quota/Daily operating hours

Rate(Blue)=12
Rate(Red) =10

Blue works till 10:45 alone and does 33 units of work.
We have to complete half of (100+120) => 110
Remaining units = 77

Rate(Blue) + Rate (Red) = 22

Remaining Work/Rate = TIme

77/22=3.5 hours

10:45 + 3.5 hours = 14:15

Hope that helps !
_________________

Rgds,
TGC!
_____________________________________________________________________
I Assisted You => KUDOS Please
_____________________________________________________________________________

Senior Manager
Senior Manager
User avatar
Joined: 21 Oct 2013
Posts: 419
Followers: 13

Kudos [?]: 1170 [0], given: 289

In the "Mashburn" pharmaceutical company there are two [#permalink]

Show Tags

New post 25 Jul 2014, 03:28
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine.
If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?

13:15
14:15
14:30
15:40
19:15
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34527
Followers: 6313

Kudos [?]: 80083 [0], given: 10027

Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 25 Jul 2014, 03:34
goodyear2013 wrote:
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine.
If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?

13:15
14:15
14:30
15:40
19:15


Merging similar topics. Please refer to the discussion above.
_________________

New to the Math Forum?
Please read this: 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

Senior Manager
Senior Manager
User avatar
Joined: 01 Nov 2013
Posts: 355
GMAT 1: 690 Q45 V39
WE: General Management (Energy and Utilities)
Followers: 5

Kudos [?]: 119 [0], given: 403

Reviews Badge
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 09 Mar 2015, 06:21
1
This post was
BOOKMARKED
Bunuel wrote:
superpus07 wrote:
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. 
If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?

a) 13:15
b) 14:15
c) 14:30
d) 15:40
e) 19:15


Thanks!


Say red machine's daily quota is 100 pills and blue machine's is 120 pills (20% greater), so total of 100+120=220 pills. Half of it would be 110 pills.

To fulfill daily quota red machine must produce 100/10=10 pills per hour and blue machine must produce 120/10=12 pills per hour.

Their combined rate, in this case, would be 10+12=22 pills per hour.

From 8:00 till 10:45, or in 11/4 hours, blue machine will produce 11/4*12=33 pills. After that together they must produce 110-33=77 pills. For that they will need 77/22=7/2 hours, or 3 hours and 30 minutes.

Therefore half of the combined daily quota will be manufactured at 10:45 + 3 hours and 30 minutes = 14:15.

Answer: B.

Hope it's clear.


This approach is better and less time consuming than the approach that makes use of equations.

Great solution by Bunnel...Kudos!!!
_________________

Our greatest weakness lies in giving up. The most certain way to succeed is always to try just one more time.

I hated every minute of training, but I said, 'Don't quit. Suffer now and live the rest of your life as a champion.-Mohammad Ali

Intern
Intern
avatar
Joined: 20 Jan 2015
Posts: 2
Location: India
Concentration: International Business, Finance
GPA: 3.6
WE: Business Development (Consulting)
Followers: 0

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

Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 26 Mar 2015, 08:57
Bunuel wrote:
superpus07 wrote:
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. 
If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?

a) 13:15
b) 14:15
c) 14:30
d) 15:40
e) 19:15


Thanks!


Say red machine's daily quota is 100 pills and blue machine's is 120 pills (20% greater), so total of 100+120=220 pills. Half of it would be 110 pills.

To fulfill daily quota red machine must produce 100/10=10 pills per hour and blue machine must produce 120/10=12 pills per hour.

Their combined rate, in this case, would be 10+12=22 pills per hour.

From 8:00 till 10:45, or in 11/4 hours, blue machine will produce 11/4*12=33 pills. After that together they must produce 110-33=77 pills. For that they will need 77/22=7/2 hours, or 3 hours and 30 minutes.

Therefore half of the combined daily quota will be manufactured at 10:45 + 3 hours and 30 minutes = 14:15.

Answer: B.

Hope it's clear.






Thanks for the solution.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11182
Followers: 512

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

Premium Member
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 20 Jul 2016, 07:48
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Senior Manager
Senior Manager
avatar
Joined: 07 Dec 2014
Posts: 372
Followers: 1

Kudos [?]: 46 [0], given: 1

In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 20 Jul 2016, 18:08
combined hourly quota=1.2+1=2.2 units
combined daily quota=10*2.2=22 units
let t=time
1.2*t+1*(t-2.75)=22/2=11 units
t=6.25 hours
14:15

Last edited by gracie on 24 Jul 2016, 17:51, edited 1 time in total.
Top Contributor
Senior Manager
Senior Manager
User avatar
Joined: 17 Dec 2012
Posts: 442
Location: India
Followers: 23

Kudos [?]: 361 [0], given: 14

In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 20 Jul 2016, 20:24
Top Contributor
superpus07 wrote:
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. 
If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?

A. 13:15
B. 14:15
C. 14:30
D. 15:40
E. 19:15


In 10 hrs the blue machine does 6/11 of the work. So from 8 to 10:45 i.e, in 11/4 hrs it does 6/40 of the work
1/2 of the work is to be done. So remaining work is 1/2 - 6/40 = 7/20
Together blue and red machine does 1/10 of the work in 1 hr. They will do 7/20 of the work in 3.5 hrs
So work will be completed in 10:45 + 3.5 hrs = 14:15
_________________

Srinivasan Vaidyaraman
Sravna
http://www.sravnatestprep.com

Classroom and Online Coaching

Intern
Intern
User avatar
Joined: 05 Jul 2016
Posts: 47
GMAT 1: 680 Q49 V33
Followers: 0

Kudos [?]: 1 [0], given: 117

In the "Mashburn" pharmaceutical company there are two machi [#permalink]

Show Tags

New post 23 Jul 2016, 20:41
I prefer listing the complete equation (Rate*Time=Work) when solving such Work problems.

Regarding the production proportion, let's pick "Smart Numbers":
The company produces 12 blue pills and 10 red pills.

We use B referring to the rate of producing blue pills and R to that of producing red pills.

Based on the identical 10 hours, B=1.2 and R=1

Time for B is 3.75 hours longer than for R, and T represents the time we want.

To produce half of the combined quota, we establish the equation as below:
1.2*(T+2.75)+1*T=11
T=3.5

Thanks,
_________________

It's better to burn out than to fade away.

In the "Mashburn" pharmaceutical company there are two machi   [#permalink] 23 Jul 2016, 20:41
    Similar topics Author Replies Last post
Similar
Topics:
31 Experts publish their posts in the topic A pharmaceutical company received $3 million in royalties Walkabout 14 12 Dec 2012, 05:29
47 Experts publish their posts in the topic Company S produces two kinds of stereos: basic and deluxe. udaymathapati 18 08 Sep 2010, 11:20
8 Experts publish their posts in the topic Company S produces two kinds of stereos: basic and deluxe. kirankp 6 29 Dec 2009, 05:45
20 Experts publish their posts in the topic A pharmaceutical company received $3 million in royalties on umaa 14 17 Dec 2009, 09:17
7 Experts publish their posts in the topic A pharmaceutical company received $3 million in royalties on slingfox 15 19 Oct 2009, 00:34
Display posts from previous: Sort by

In the "Mashburn" pharmaceutical company there are two machi

  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 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®.