NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 02:05 It is currently 26 Apr 2024, 02:05
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A dye company received an order of 400 litres of black dye

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
cleetus
Manager
Manager
Joined: 25 Jan 2010
Posts: 91
Own Kudos [?]: 623 [18]
Given Kudos: 40
Location: Calicut, India
Concentration: Finance
Send PM
A dye company received an order of 400 litres of black dye [#permalink] New post   03 Aug 2011, 22:09
1
Kudos
17
Bookmarks
00:00
A
B
C
D
E

Difficulty:

95% (hard)

Question Stats:

55% (03:07) correct 45% (03:49) wrong based on 111 sessions
Hide Show timer Statistics
A dye company received an order of 400 litres of black dye and 360 litres of brown dye. It has two machines (X and Y) to make these dyes. X takes 4 hours to make 16 litres of black dye and 3 hours to make 9 litres of brown dye. Y takes 4 hours to make 12 litres of black dye and 3 hours to make 12 litres of brown dye. If the company has to deliver the order in 93 hours, its delivery will be delayed by at least

(1) 2.5 hrs
(2) 2 2/7 hrs
(3) 2 4/7 hrs
(4) 2 5/7 hrs

Show Spoiler
Attachment:
gma.jpg
gma.jpg [ 26.3 KiB | Viewed 7322 times ]
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
L
GyanOne
CEO
CEO
Joined: 24 Jul 2011
Status: World Rank #4 MBA Admissions Consultant
Posts: 3187
Own Kudos [?]: 1585 [6]
Given Kudos: 33
GMAT 1: 780 Q51 V48
GRE 1: Q170 V170
Send PM
Re: Work [#permalink] New post   03 Aug 2011, 23:03
4
Kudos
2
Bookmarks
Expert Reply
X can make 4 L/hr of black dye but only 3 L/hr of brown dye.
Y can make 4 L/hr of brown dye but only 3 L/hr of black dye.

Therefore let X make the black dye and Y make the brown dye.

In 93 hours, X would have made 93*4 = 372 L of black dye.
In 90 hours, Y would have made 90*4 = 360 L of brown dye. For the next 3 hours, it can make black dye as the brown dye is done.
So in 93 hours, total amount of black dye made = 372 L + 3*3 L = 381 L of black dye.

Amount of black dye remaining = 19 L
Rate of production of black dye = 3 L/hr (Y) + 4 L/hr (X) [as both are working on producing black dye now] = 7 L /hr
Amount of extra time required = 19/7 hours = 2 5/7 hours

Option (4) [or (D) in the usual form] is correct.
General Discussion
User avatar
S
dimri10
Manager
Manager
Joined: 16 May 2011
Posts: 240
Own Kudos [?]: 308 [1]
Given Kudos: 64
Concentration: Finance, Real Estate
GMAT Date: 12-27-2011
WE:Law (Law)
Send PM
GMAT ToolKit User
Re: Work [#permalink] New post   04 Aug 2011, 05:09
1
Kudos
the maximum work will be when x deals with black and y with broun.

in 90 minutes y completes its work (360) and x completes 360 from 400.

so only 40 black are left. in common they complete 7 black.

so 40/7=5 and 5/7. together its 90+ 5 and 5/7-93
User avatar
S
Rocky1304
Intern
Intern
Joined: 23 Mar 2014
Posts: 17
Own Kudos [?]: 88 [0]
Given Kudos: 37
Send PM
A Dye company Dilemma [#permalink] New post   30 Dec 2016, 09:21
A dye company received an order of 400 liters of black dye and 360 liters of brown dye. It has two machines X and Y to make these dyes. X takes 4 hours to make 16 liters of black dye and 3 hours to make 9 liters of brown dye. Y takes 4 hours to make 12 liters of black dye and 3 hours to make 12 liters of brown dye. If the company has to deliver the order in 93 hours, the delivery will be delayed by at least

A)\(15/7\) Hours
B) \(16/7\) Hours
C) \(18/7\) Hours
D) \(19/7\)Hours
E) \(20/7\) Hours
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619095 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: A dye company received an order of 400 litres of black dye [#permalink] New post   30 Dec 2016, 09:25
Expert Reply
Rocky1304 wrote:
A dye company received an order of 400 liters of black dye and 360 liters of brown dye. It has two machines X and Y to make these dyes. X takes 4 hours to make 16 liters of black dye and 3 hours to make 9 liters of brown dye. Y takes 4 hours to make 12 liters of black dye and 3 hours to make 12 liters of brown dye. If the company has to deliver the order in 93 hours, the delivery will be delayed by at least

A)\(15/7\) Hours
B) \(16/7\) Hours
C) \(18/7\) Hours
D) \(19/7\)Hours
E) \(20/7\) Hours


Merging topics. Please search before posting.
User avatar
B
rishit1080
Manager
Manager
Joined: 19 Oct 2016
Posts: 54
Own Kudos [?]: 64 [1]
Given Kudos: 29
Location: India
Concentration: Marketing, Leadership
Schools: IIMA (I)
GMAT 1: 580 Q46 V24
GMAT 2: 540 Q39 V25
GMAT 3: 660 Q48 V34
GPA: 3.15
WE:Psychology and Counseling (Health Care)
Send PM
Re: A dye company received an order of 400 litres of black dye [#permalink] New post   31 Dec 2016, 04:18
1
Kudos
Bunuel wrote:
Rocky1304 wrote:
A dye company received an order of 400 liters of black dye and 360 liters of brown dye. It has two machines X and Y to make these dyes. X takes 4 hours to make 16 liters of black dye and 3 hours to make 9 liters of brown dye. Y takes 4 hours to make 12 liters of black dye and 3 hours to make 12 liters of brown dye. If the company has to deliver the order in 93 hours, the delivery will be delayed by at least

A)\(15/7\) Hours
B) \(16/7\) Hours
C) \(18/7\) Hours
D) \(19/7\)Hours
E) \(20/7\) Hours


Merging topics. Please search before posting.


Bunuel why is this question in DS when it is clearly a PS?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619095 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: A dye company received an order of 400 litres of black dye [#permalink] New post   31 Dec 2016, 04:21
Expert Reply
rishit1080 wrote:
Bunuel wrote:
Rocky1304 wrote:
A dye company received an order of 400 liters of black dye and 360 liters of brown dye. It has two machines X and Y to make these dyes. X takes 4 hours to make 16 liters of black dye and 3 hours to make 9 liters of brown dye. Y takes 4 hours to make 12 liters of black dye and 3 hours to make 12 liters of brown dye. If the company has to deliver the order in 93 hours, the delivery will be delayed by at least

A)\(15/7\) Hours
B) \(16/7\) Hours
C) \(18/7\) Hours
D) \(19/7\)Hours
E) \(20/7\) Hours


Merging topics. Please search before posting.


Bunuel why is this question in DS when it is clearly a PS?


Moved to the PS forum. Thank you.
User avatar
P
gracie
VP
VP
Joined: 07 Dec 2014
Posts: 1072
Own Kudos [?]: 1561 [0]
Given Kudos: 27
Send PM
A dye company received an order of 400 litres of black dye [#permalink] New post   01 Jan 2017, 16:16
cleetus wrote:
A dye company received an order of 400 litres of black dye and 360 litres of brown dye. It has two machines (X and Y) to make these dyes. X takes 4 hours to make 16 litres of black dye and 3 hours to make 9 litres of brown dye. Y takes 4 hours to make 12 litres of black dye and 3 hours to make 12 litres of brown dye. If the company has to deliver the order in 93 hours, its delivery will be delayed by at least

(1) 2.5 hrs
(2) 2 2/7 hrs
(3) 2 4/7 hrs
(4) 2 5/7 hrs

Show Spoiler
Attachment:
gma.jpg


in 90 hrs Y completes total 360 liters of brown dye order.
in 90 hrs X completes 360 liters of 400 liter black dye order
X's black dye rate is 4 lph
Y's black dye rate is 3 lph
let h=total hrs for order
(h-90)(7 lph)=40 liters
h=95 5/7 hrs
95 5/7-93= 2 5/7 hrs
User avatar
G
ShashankDave
Manager
Manager
Joined: 03 Apr 2013
Posts: 222
Own Kudos [?]: 239 [0]
Given Kudos: 872
Location: India
Concentration: Marketing, Finance
Schools: McDonough '21 (A) Kelley '21 ISB '21 (I)
GMAT 1: 740 Q50 V41
GPA: 3
Send PM
GMAT ToolKit User
A dye company received an order of 400 litres of black dye [#permalink] New post   07 May 2017, 06:00
GyanOne wrote:
X can make 4 L/hr of black dye but only 3 L/hr of brown dye.
Y can make 4 L/hr of brown dye but only 3 L/hr of black dye.

Therefore let X make the black dye and Y make the brown dye.

In 93 hours, X would have made 93*4 = 372 L of black dye.
In 90 hours, Y would have made 90*4 = 360 L of brown dye. For the next 3 hours, it can make black dye as the brown dye is done.
So in 93 hours, total amount of black dye made = 372 L + 3*3 L = 381 L of black dye.

Amount of black dye remaining = 19 L
Rate of production of black dye = 3 L/hr (Y) + 4 L/hr (X) [as both are working on producing black dye now] = 7 L /hr
Amount of extra time required = 19/7 hours = 2 5/7 hours

Option (4) [or (D) in the usual form] is correct.


The approach on this one is giving me a headache. There are many possibilities as to how work can be done in this question.

What I did was that I involved both the machines together on one type of paint one time. So 7 liters in an hour of brown and then 7 liters an hour for black. The total came a lot more. Then I saw your approach and it worked better. How do we decide on questions such as these? I thought that time is minimized when work is maximized.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32678
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: A dye company received an order of 400 litres of black dye [#permalink] New post   31 Aug 2019, 10:23
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 Club Bot
gmatclubot
Re: A dye company received an order of 400 litres of black dye [#permalink]
31 Aug 2019, 10:23
Moderators:
Bunuel
Math Expert
92921 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions