GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 28 May 2020, 23:39

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.

Close

Request Expert Reply

Confirm Cancel

In a workshop 10 machines working simultaneously can finish a work of

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

Hide Tags

Find Similar Topics 
GMAT Club Legend
GMAT Club Legend
User avatar
V
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 4001
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Reviews Badge
In a workshop 10 machines working simultaneously can finish a work of  [#permalink]

Show Tags

New post Updated on: 15 May 2017, 03:55
2
3
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

63% (02:34) correct 37% (02:56) wrong based on 79 sessions

HideShow timer Statistics

In a workshop, 10 machines working simultaneously can finish a work of manufacturing 3000 components in 10 days while working 9 hours a day. What is the minimum number of additional machines required at the same workshop to finish the work of manufacturing 5000 similar components if work needs to be delivered in 6 days and maximum number of hours that machines can operate in a day is 10?

A) 4
B) 5
C) 10
D) 15
E) 25

SOURCE: http://www.GMATinsight.com

_________________
Prosper!!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
Online One-on-One Skype based classes l Classroom Coaching l On-demand Quant course
Click Here for Uneditable GOOGLE reviews
Check website for most affordable Quant on-Demand course 2000+ Qns (with Video explanations)
Click for FREE Demo on VERBAL & QUANT
Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l
ACCESS FREE GMAT TESTS HERE:22 FREE (FULL LENGTH) GMAT CATs LINK COLLECTION

Originally posted by GMATinsight on 15 May 2017, 02:23.
Last edited by GMATinsight on 15 May 2017, 03:55, edited 2 times in total.
GMAT Club Legend
GMAT Club Legend
User avatar
V
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 4001
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Reviews Badge
Re: In a workshop 10 machines working simultaneously can finish a work of  [#permalink]

Show Tags

New post 15 May 2017, 04:03
2
2
GMATinsight wrote:
In a workshop, 10 machines working simultaneously can finish a work of manufacturing 3000 components in 10 days while working 9 hours a day. What is the minimum number of additional machines required at the same workshop to finish the work of manufacturing 5000 similar components if work needs to be delivered in 6 days and maximum number of hours that machines can operate in a day is 10?

A) 4
B) 5
C) 10
D) 15
E) 25

SOURCE: http://www.GMATinsight.com


OE

CONCEPT: \(\frac{(Machine_Power * Time)}{Work} = Constant\)
i.e. \(\frac{(M_1 * T_1)}{W_1} = \frac{(M_2 * T_2)}{W_2}\)

i.e. \(\frac{(10 * (10*9)}{3000} = \frac{(M_2 * (6*10))}{5000}\)

i.e. \(T_2 = 25\)

i.e. Additional Machines required = 25-10 = 15

Answer: option D
_________________
Prosper!!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
Online One-on-One Skype based classes l Classroom Coaching l On-demand Quant course
Click Here for Uneditable GOOGLE reviews
Check website for most affordable Quant on-Demand course 2000+ Qns (with Video explanations)
Click for FREE Demo on VERBAL & QUANT
Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l
ACCESS FREE GMAT TESTS HERE:22 FREE (FULL LENGTH) GMAT CATs LINK COLLECTION
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8602
In a workshop 10 machines working simultaneously can finish a work of  [#permalink]

Show Tags

New post 15 May 2017, 03:38
GMATinsight wrote:
If 10 machines working simultaneously can finish a work of manufacturing 3000 components in 10 days while working 9 hours a day. Then what is the minimum number of additional machines required to finish the work of manufacturing 5000 similar components if work needs to be delivered in 6 days and maximum number of hours that machines can operate in a day is 6.

A) 4
B) 5
C) 10
D) 15
E) 25

SOURCE: http://www.GMATinsight.com


Hi
When you say addl machines, does it mean these 10 are working for 9 hrs as earlier or these also wk for 6hrs.

Irrespective of either 6 or 9 ans cannot be D..
Let's take all for 9 hrs, so these 10 machine will cater for days 10 to 6 by 10*10/6..
Now to cater for increase in components from 3000 to 5000.... 10*10/6*5000/3000=500/18~28..
So ATLEAST 18 even if we take time as 9 hrs for all...
1) If we take all to be in 6 hrs, 500/18 * 9/6=1500/36~42 so addl 42-10=32..
2) if these 10 continue for 9 hrs, we can see how many these 10 make and rest can be seen with 6h.

After the necessary amendments...
To cater for change from 3000 to 5000 components
10 machines will become \(\frac{10*5000}{3000}\)
This will further cater for change of 10days to 6days..... Machines required \(\frac{10*5000*10}{3000*6}\)
Finally to cater for extra 1hr from 9 to 10hr...... Machines becomes \(\frac{10*5000*10*9}{3000*6*10}\)
=25..
So addl required=25-10=15

D
_________________
GMAT Club Legend
GMAT Club Legend
User avatar
V
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 4001
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Reviews Badge
Re: In a workshop 10 machines working simultaneously can finish a work of  [#permalink]

Show Tags

New post 15 May 2017, 03:45
chetan2u wrote:
GMATinsight wrote:
If 10 machines working simultaneously can finish a work of manufacturing 3000 components in 10 days while working 9 hours a day. Then what is the minimum number of additional machines required to finish the work of manufacturing 5000 similar components if work needs to be delivered in 6 days and maximum number of hours that machines can operate in a day is 6.

A) 4
B) 5
C) 10
D) 15
E) 25

SOURCE: http://www.GMATinsight.com


Hi
When you say addl machines, does it mean these 10 are working for 9 hrs as earlier or these also wk for 6hrs.

Irrespective of either 6 or 9 ans cannot be D..
Let's take all for 9 hrs, so these 10 machine will cater for days 10 to 6 by 10*10/6..
Now to cater for increase in components from 3000 to 5000.... 10*10/6*5000/3000=500/18~28..
So ATLEAST 18 even if we take time as 9 hrs for all...
1) If we take all to be in 6 hrs, 500/18 * 9/6=1500/36~42 so addl 42-10=32..
2) if these 10 continue for 9 hrs, we can see how many these 10 make and rest can be seen with 6h.


Last number is 10 hours. Sorry for a typo

Posted from my mobile device
_________________
Prosper!!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
Online One-on-One Skype based classes l Classroom Coaching l On-demand Quant course
Click Here for Uneditable GOOGLE reviews
Check website for most affordable Quant on-Demand course 2000+ Qns (with Video explanations)
Click for FREE Demo on VERBAL & QUANT
Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l
ACCESS FREE GMAT TESTS HERE:22 FREE (FULL LENGTH) GMAT CATs LINK COLLECTION
Moderator
User avatar
V
Joined: 28 Mar 2017
Posts: 1190
Location: India
GMAT 1: 730 Q49 V41
GPA: 4
Re: In a workshop 10 machines working simultaneously can finish a work of  [#permalink]

Show Tags

New post 15 May 2017, 03:47
GMATinsight wrote:
If 10 machines working simultaneously can finish a work of manufacturing 3000 components in 10 days while working 9 hours a day. Then what is the minimum number of additional machines required to finish the work of manufacturing 5000 similar components if work needs to be delivered in 6 days and maximum number of hours that machines can operate in a day is 10

A) 4
B) 5
C) 10
D) 15
E) 25

SOURCE: http://www.GMATinsight.com


As per above information, i am getting 32 as the answer.

Kindly share your explanation.
Moderator
User avatar
V
Joined: 28 Mar 2017
Posts: 1190
Location: India
GMAT 1: 730 Q49 V41
GPA: 4
Re: In a workshop 10 machines working simultaneously can finish a work of  [#permalink]

Show Tags

New post 15 May 2017, 03:51
GMATinsight wrote:
chetan2u wrote:
GMATinsight wrote:
If 10 machines working simultaneously can finish a work of manufacturing 3000 components in 10 days while working 9 hours a day. Then what is the minimum number of additional machines required to finish the work of manufacturing 5000 similar components if work needs to be delivered in 6 days and maximum number of hours that machines can operate in a day is 6.

A) 4
B) 5
C) 10
D) 15
E) 25

SOURCE: http://www.GMATinsight.com


Hi
When you say addl machines, does it mean these 10 are working for 9 hrs as earlier or these also wk for 6hrs.

Irrespective of either 6 or 9 ans cannot be D..
Let's take all for 9 hrs, so these 10 machine will cater for days 10 to 6 by 10*10/6..
Now to cater for increase in components from 3000 to 5000.... 10*10/6*5000/3000=500/18~28..
So ATLEAST 18 even if we take time as 9 hrs for all...
1) If we take all to be in 6 hrs, 500/18 * 9/6=1500/36~42 so addl 42-10=32..
2) if these 10 continue for 9 hrs, we can see how many these 10 make and rest can be seen with 6h.


Last number is 10 hours. Sorry for a typo

Posted from my mobile device

Posted from my mobile device


Taking this information into account, I am getting 15 as the answer. Is it correct?
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 3853
Re: In a workshop 10 machines working simultaneously can finish a work of  [#permalink]

Show Tags

New post 17 May 2017, 12:56
GMATinsight wrote:
In a workshop, 10 machines working simultaneously can finish a work of manufacturing 3000 components in 10 days while working 9 hours a day. What is the minimum number of additional machines required at the same workshop to finish the work of manufacturing 5000 similar components if work needs to be delivered in 6 days and maximum number of hours that machines can operate in a day is 10?

A) 4
B) 5
C) 10
D) 15
E) 25

SOURCE: http://www.GMATinsight.com

Nice question! For these questions, I almost always find the individual machine or worker rate, using a slightly changed version of the RTW table. Just add one column for "Number of workers/machines," and it's easy:
Attachment:
Revised Work Formula Table.jpg
Revised Work Formula Table.jpg [ 40.42 KiB | Viewed 1325 times ]

Revised formula: (# of workers)*(rate)*(time) = Work

In this case, you have to use HOURS for units of time.
Calculate first row: 10 days * 9 hrs/day = 90 hours total
Calculate second row: 6 days * 10 hrs/day = 60 hours total

1. Find individual machine rate ==>

(10)*(R)*(90) = 3000

R = \(\frac{3000}{900}\) =\(\frac{10}{3}\)

2. Use that rate in second row to find TOTAL number of machines needed for new task ==>

(# of machines TOTAL)*(\(\frac{10}{3}\))*(60) = 5000

# of machines = \(\frac{5000}{200}\) = 25 TOTAL

Question asks, how many more machines needed for new task. 25 (need) - 10 (have) = 15.
Answer
_________________
Visit SC Butler, here! Get two SC questions to practice, whose links you can find by date.

Our lives begin to end the day we become silent about things that matter. -- Dr. Martin Luther King, Jr.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15010
Re: In a workshop 10 machines working simultaneously can finish a work of  [#permalink]

Show Tags

New post 12 Jan 2019, 23:15
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
Re: In a workshop 10 machines working simultaneously can finish a work of   [#permalink] 12 Jan 2019, 23:15

In a workshop 10 machines working simultaneously can finish a work of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne