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

It is currently 01 Sep 2014, 11:32

Happy Labor Day:

Free Access to New GMATClub Tests for all GMATClub Members!!


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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 20 Jun 2011
Posts: 46
Followers: 1

Kudos [?]: 13 [0], given: 1

In the "Mashburn" pharmaceutical company there are two machi [#permalink] New post 02 Oct 2012, 16:25
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

54% (03:31) correct 46% (02:54) wrong based on 159 sessions
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
8 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 25236
Followers: 3428

Kudos [?]: 25215 [8] , given: 2702

Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink] New post 03 Oct 2012, 02:27
8
This post received
KUDOS
Expert's post
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!


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 MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

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 [?]: 9 [0], given: 8

Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink] New post 25 Oct 2012, 06:00
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: 14

Kudos [?]: 192 [1] , given: 11

GMAT ToolKit User GMAT Tests User
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink] New post 14 Nov 2012, 01:10
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: 25236
Followers: 3428

Kudos [?]: 25215 [0], given: 2702

Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink] New post 10 Jul 2013, 02:58
Expert's post
Senior Manager
Senior Manager
User avatar
Joined: 28 Apr 2012
Posts: 310
Location: India
GMAT 1: 610 Q49 V23
GMAT 2: 650 Q48 V31
GMAT 3: 770 Q50 V47
WE: Information Technology (Computer Software)
Followers: 12

Kudos [?]: 185 [0], given: 141

Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink] New post 10 Jul 2013, 06:24
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!

shit-happens-my-journey-to-172475.html#p1372807

Director
Director
avatar
Joined: 03 Aug 2012
Posts: 895
Concentration: General Management, General Management
Schools: ISB '16
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
Followers: 12

Kudos [?]: 189 [0], given: 306

Premium Member CAT Tests
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink] New post 26 Sep 2013, 21:44
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: 434
Followers: 8

Kudos [?]: 307 [0], given: 268

In the "Mashburn" pharmaceutical company there are two [#permalink] New post 25 Jul 2014, 02:28
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: 25236
Followers: 3428

Kudos [?]: 25215 [0], given: 2702

Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink] New post 25 Jul 2014, 02:34
Expert's post
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 MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: In the "Mashburn" pharmaceutical company there are two machi   [#permalink] 25 Jul 2014, 02:34
    Similar topics Author Replies Last post
Similar
Topics:
In the "Mashburn" pharmaceutical company there are two goodyear2013 0 25 Jul 2014, 02:28
1 Experts publish their posts in the topic Pharmaceutical Companies: Weaken the argument Question vikasbansal227 2 05 Feb 2014, 02:20
4 Experts publish their posts in the topic The pharmaceutical company conceded that its blockbuster Vercules 7 25 Jun 2013, 22:17
2 A director of the Rexx Pharmaceutical Company argued that RaviChandra 6 23 May 2010, 07:05
A thinly stretched pharmaceuticals company operates three Titleist 16 16 Oct 2005, 17:52
Display posts from previous: Sort by

In the "Mashburn" pharmaceutical company there are two machi

  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®.