GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Nov 2019, 00:50

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

20 workmen can make 35 widgets in 5 days. How many workmen are needed

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59198
20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 07 Jul 2017, 01:58
1
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

95% (01:13) correct 5% (01:37) wrong based on 157 sessions

HideShow timer Statistics

Most Helpful Expert Reply
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2977
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: 20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 07 Jul 2017, 05:15
1
4
Bunuel wrote:
20 workmen can make 35 widgets in 5 days. How many workmen are needed to make 105 widgets in 5 days?

(A) 7
(B) 20
(C) 25
(D) 30
(E) 60



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. \(\frac{(20 * 5)}{35} = \frac{(M_2 * 5)}{105}\)

i.e. \(M_2 = 60\)

Answer: option E
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
General Discussion
Current Student
User avatar
S
Joined: 11 Jul 2016
Posts: 47
Location: India
Concentration: Technology, General Management
GMAT 1: 550 Q36 V30
GPA: 3.65
WE: Information Technology (Consulting)
Re: 20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 07 Jul 2017, 02:15
2
35w--------5days------20Men
1w----------5days------20/35Men
1w----------1day---------(20/35)*5 Men
105w-------1day--------(20/35)*5*105Men
105w-------5days-------(20/35)*5*105*1/5 Men
Ans=60 Men
Director
Director
User avatar
V
Joined: 04 Dec 2015
Posts: 736
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: 20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 07 Jul 2017, 06:28
1
Bunuel wrote:
20 workmen can make 35 widgets in 5 days. How many workmen are needed to make 105 widgets in 5 days?

(A) 7
(B) 20
(C) 25
(D) 30
(E) 60


\(20\) workmen can make \(35\) widgets in \(5\) days.

Let the number of workmen to make \(105\) widgets in \(5\) days be \(= x\)

Number of days ie; \(5\) is same in both cases, hence we can ignore that.

\(\frac{20}{35} = \frac{x}{105}\)

\(x = \frac{20*105}{35} = 60\)

Hence \(60\) men are required to make \(105\) widgets in \(5\) days.

Answer (E)...
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 3674
20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 07 Jul 2017, 07:27
Bunuel wrote:
20 workmen can make 35 widgets in 5 days. How many workmen are needed to make 105 widgets in 5 days?

(A) 7
(B) 20
(C) 25
(D) 30
(E) 60

W = # * r * t, where # = number of workers. Manipulate that equation in same way as W = rt.

Individual worker's rate is 35/(5*20), or 35/100, or \(\frac{7}{20}\)

New # of workers, using individual rate, is 105/[(7/20)*5], or 105/(35/20), or 105/(7/4) =

105 * \(\frac{4}{7}\) = 60

Answer E
_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.

Never doubt that a small group of thoughtful, committed citizens can change the world; indeed, it's the only thing that ever has -- Margaret Mead
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1221
20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 07 Jul 2017, 11:17
Bunuel wrote:
20 workmen can make 35 widgets in 5 days. How many workmen are needed to make 105 widgets in 5 days?

(A) 7
(B) 20
(C) 25
(D) 30
(E) 60


let w=workmen needed
because time is equal,
w/20=105/35
w=60 workmen
E
SVP
SVP
User avatar
V
Joined: 26 Mar 2013
Posts: 2344
Reviews Badge CAT Tests
Re: 20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 08 Jul 2017, 03:02
2
Bunuel wrote:
20 workmen can make 35 widgets in 5 days. How many workmen are needed to make 105 widgets in 5 days?

(A) 7
(B) 20
(C) 25
(D) 30
(E) 60



This problem could be solved conceptually without calculations

We have 20 worker to produce 35 widgtes in 5 days. In same number of days, we need more worker to produce Three TIMES (105/35 =3) the first situation. So we need 3 Times labor.

Answer: 60
Senior Manager
Senior Manager
User avatar
B
Joined: 28 Jun 2015
Posts: 281
Concentration: Finance
GPA: 3.5
Re: 20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 08 Jul 2017, 03:52
The output has increased but not the number of days, so the number of men should increase linearly.

Since the output has become thrice, the number of men required will be = 20*3 = 60. Ans - E.
_________________
I used to think the brain was the most important organ. Then I thought, look what’s telling me that.
Current Student
avatar
G
Joined: 04 Jan 2016
Posts: 163
Location: United States (NY)
GMAT 1: 620 Q44 V32
GMAT 2: 600 Q48 V25
GMAT 3: 660 Q42 V39
GPA: 3.48
GMAT ToolKit User
20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 08 Jul 2017, 20:24
First we can derive the rate of one workman as below:
\(20(R)*5=35 => R=\frac{7}{20}\)

Let X be the number of workmen needed and we have the work required (105) and the number of days worked (5) therefore,

\(\frac{X * 7}{20} * 5 = 105 => \frac{35X}{20} = 105 => 35 X = 105 * 20\) = > divide both sides by 35 => \(x = 3*20 = 60\)
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2812
Re: 20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 12 Jul 2017, 16:30
1
Bunuel wrote:
20 workmen can make 35 widgets in 5 days. How many workmen are needed to make 105 widgets in 5 days?

(A) 7
(B) 20
(C) 25
(D) 30
(E) 60


We are given that the rate of 20 workmen is 35/5 = 7 widgets per day. We need to determine how many workmen are needed for a rate of 105/5 = 21 widgets per day. We can let x = the number of workman and create the following proportion:

20/7 = x/21

(20)(21) = 7x

(20)(3) = x

60 = x

Answer: E
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15498
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: 20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 05 Dec 2017, 12:55
2
Hi All,

When dealing with these types of 'work' questions, it can be helpful to think in terms of the total amount of work that needs to be done to complete the given task. We're told that it takes 20 workmen 5 days to complete the task. That's...

(20 men)(5 days each) = 100 work-days of effort to create 35 widgets.

Thus, there are a number of different ways to complete that work:
1 worker can work for 100 days
2 workers can work for 50 days each
4 workers can work for 25 days each
Etc.

The question asks us to create 105 widgets, which is 3 times the 35 in the above calculation. Those 105 widgets would take 3(100) = 300 work-days of effort. If we have to complete the job in 5 days, then we can set up the following equation:

(X men)(5 days each) = 300 work-days

X = 60 men

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13624
Re: 20 workmen can make 35 widgets in 5 days. How many workmen are needed  [#permalink]

Show Tags

New post 07 Jul 2019, 00:23
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
Re: 20 workmen can make 35 widgets in 5 days. How many workmen are needed   [#permalink] 07 Jul 2019, 00:23
Display posts from previous: Sort by

20 workmen can make 35 widgets in 5 days. How many workmen are needed

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





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