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

 It is currently 22 May 2019, 02:31

### 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

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

# If 6 workers can build 4 cars in 2 days, then how many days would it

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55228
If 6 workers can build 4 cars in 2 days, then how many days would it  [#permalink]

### Show Tags

15 Jan 2018, 05:48
00:00

Difficulty:

15% (low)

Question Stats:

79% (01:38) correct 21% (02:01) wrong based on 116 sessions

### HideShow timer Statistics

If 6 workers can build 4 cars in 2 days, then how many days would it take 8 workers to build 6 cars?

(A) 5/3
(B) 9/4
(C) 8/3
(D) 11/4
(E) 10/3

_________________
Intern
Joined: 30 May 2017
Posts: 37
GMAT 1: 730 Q49 V41
Re: If 6 workers can build 4 cars in 2 days, then how many days would it  [#permalink]

### Show Tags

15 Jan 2018, 06:51
1
If 6 workers can build 4 cars in 2 days, then how many days would it take 8 workers to build 6 cars?

(A) 5/3
(B) 9/4
(C) 8/3
(D) 11/4
(E) 10/3

1 worker can build 1 car in 3 days.
1 worker can build 6 car in 18days.
8 workers can build six cars in 18/8 days;=9/4 Ans B
Manager
Joined: 16 May 2017
Posts: 51
GPA: 3.8
WE: Medicine and Health (Health Care)
Re: If 6 workers can build 4 cars in 2 days, then how many days would it  [#permalink]

### Show Tags

03 Oct 2018, 03:34
6 workers build car in a day=4/2 = 2 cars
So, 1 workers build car in a day=2/6 = 1/3 cars

8 workers build car in a day=1*8/3 = 8/3 cars
8/3 cars gets build in- 1 days
So, 6 cars gets build in= 6*8/3= 9/4 days

(B)
Intern
Joined: 03 Mar 2015
Posts: 4
Location: India
Concentration: Technology, Entrepreneurship
Re: If 6 workers can build 4 cars in 2 days, then how many days would it  [#permalink]

### Show Tags

04 Oct 2018, 07:02
This is a simple but good question. Helps with the concept.
Intern
Joined: 06 Dec 2017
Posts: 2
GMAT 1: 670 Q47 V35
Re: If 6 workers can build 4 cars in 2 days, then how many days would it  [#permalink]

### Show Tags

07 Oct 2018, 00:48
1
(using Work = Men*Hours*Days)
Here, Work = Men*Days
In the first case, Work = 6*2 = 12 units ; 12 units of work is equivalent to 4 cars. Therefore, 6 cars = 18 units of work. 18 = 8*d => d = 9/4 days
Senior Manager
Joined: 18 Jun 2018
Posts: 267
Re: If 6 workers can build 4 cars in 2 days, then how many days would it  [#permalink]

### Show Tags

07 Oct 2018, 01:09
Quote:
If 6 workers can build 4 cars in 2 days, then how many days would it take 8 workers to build 6 cars?

(A) 5/3
(B) 9/4
(C) 8/3
(D) 11/4
(E) 10/3

OA:B

$$6$$ Workers build $$\frac{4}{2}=2$$ cars per day

Rate of producing car $$= \frac{2 \quad cars}{6\quad Worker \quad Day} =\frac{1 \quad car}{3\quad Worker \quad Day}$$

Number of Worker days required to produce $$6$$ cars$$= \frac{6 \quad car}{\frac{1 \quad car}{3\quad Worker \quad Day}} = 18 \quad Worker \quad Day$$

Number of days required to produce $$6$$ cars by $$8$$ Workers $$=\frac{18 \quad Worker \quad Day}{8 \quad Worker}=\frac{9}{4}$$Days
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6200
Location: United States (CA)
Re: If 6 workers can build 4 cars in 2 days, then how many days would it  [#permalink]

### Show Tags

07 Oct 2018, 19:30
We know the rate of 6 workers is 4/2 = 2 cars/day. We can create a proportion to determine the rate of the 8 workers.

6/2 = 8/x

3 = 8/x

3x = 8

x = 8/3

Thus, it will take 8 workers 6/(8/3)= 18/8 = 9/4 days to build 6 cars.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
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.

Re: If 6 workers can build 4 cars in 2 days, then how many days would it   [#permalink] 07 Oct 2018, 19:30
Display posts from previous: Sort by

# If 6 workers can build 4 cars in 2 days, then how many days would it

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

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