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

It is currently 24 Jan 2020, 18:40

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

A carpenter worked alone for 1 day on a job that would take him 6 more

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 27 Jun 2011
Posts: 2
A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post Updated on: 02 Feb 2015, 06:44
2
12
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

66% (02:13) correct 34% (02:22) wrong based on 344 sessions

HideShow timer Statistics

A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?

A) 4 2/3
B) 7
C) 9
D) 14
E) 24

Originally posted by kspice on 27 Jun 2011, 12:00.
Last edited by Bunuel on 02 Feb 2015, 06:44, edited 1 time in total.
Renamed the topic and edited the question.
Most Helpful Expert Reply
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 10011
Location: Pune, India
Re: A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 31 Oct 2011, 03:42
3
3
kspice wrote:
Hello!

I just need help on setting up this work problem:

A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone.

A) 4 2/3
B) 7
C) 9
D) 14
E) 24

Please include a detailed explanation as to how you arrived at the solution.

Thank you kindly!

~k


This is how I would deal with this problem:

Rate of work of first carpenter = 1/7 work/day
Both, working together, took 4 days to complete (6/7)th of the work.
So they will take 4*7/6 (= 14/3 days) to complete the full work.

Rate of work of both together = 3/14 work/day

Mind you, working alone, first carpenter does 1/7 = 2/14 work/day
Together, they complete 3/14 work/day. So the second carpenter must be doing 1/14 work/day.
So working alone, he will take 14 days.
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Most Helpful Community Reply
Director
Director
avatar
Joined: 01 Feb 2011
Posts: 528
Re: A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 27 Jun 2011, 21:10
3
3
it takes 7 days for carpenter 1 to complete the work.

=> rate of carpenter1 = 1/7

=> amount of work done by carpenter1 on first day = 1/7

rest of 6/7 work is done both by carpenter1 and carpenter2 in 4 days

=> 1/7+rate of carpenter2 = (6/7)/4
=> rate of carpenter2 = 1/14

=> carpenter2 alone can finish this work in 14 days.

Answer is D.
General Discussion
Retired Moderator
avatar
Joined: 20 Dec 2010
Posts: 1533
Re: A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 27 Jun 2011, 12:11
4
kspice wrote:
Hello!

I just need help on setting up this work problem:

A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone.

A) 4 2/3
B) 7
C) 9
D) 14
E) 24

Please include a detailed explanation as to how you arrived at the solution.

Thank you kindly!

~k


A carpenter worked only 1 day on something that takes him 6 MORE days.
Means;
Carpenter finishes his work in 7 days.
Let his buddy finish the same task in x days.

Respective rates per day:
1/7 AND 1/x

To complete 1 work:
First guy worked for 5 days @ rate=1/7 per day.
Second one worked for 4 days @ rate=1/x per day

Expression:
Days*Rate=Work
5*1/7+4*1/x=1
5x+28=7x
2x=28
x=14 days.

Ans: "D"
Manager
Manager
User avatar
Joined: 14 Mar 2011
Posts: 182
Re: A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 27 Jun 2011, 14:39
2
First carpenter can finish the job in 7 days. After first day carpentar 2 joins and the work gets completed in 5 days.

Let the total work be 35 units. (LCM of 5 & 7) Rate of carpentar 1 = 35/7 = 5 units per day. He works for 5 days , so he does total of 25 units out of 35 units. That means carpentar 2 does 35-25 units = 10 units in 4 days. so rate of carpentar 2 - 10/4 = 2.5 units per day. So he will do complete work in 35/2.5 = 14 days.
Current Student
avatar
Joined: 08 Jan 2009
Posts: 284
GMAT 1: 770 Q50 V46
Re: A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 27 Jun 2011, 17:37
fluke wrote:
kspice wrote:
Hello!
...


A carpenter worked only 1 day on something that takes him 6 MORE days.
Means;
Carpenter finishes his work in 7 days.
Let his buddy finish the same task in x days.

Respective rates per day:
1/7 AND 1/x

To complete 1 work:
First guy worked for 5 days @ rate=1/7 per day.
Second one worked for 4 days @ rate=1/x per day

Expression:
Days*Rate=Work
5*1/7+4*1/x=1
5x+28=7x
2x=28
x=14 days.

Ans: "D"


Nicely explained Fluke
Manager
Manager
avatar
Joined: 25 May 2011
Posts: 94
Re: A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 30 Oct 2011, 12:28
2
1
the speed of first carpenter\(=\frac{1}{7}\)
the speed of second carpenter\(=\frac{1}{X}\)

\(1*\frac{1}{7}+4*(\frac{1}{7}+\frac{1}{X})=1\)

\(\frac{4}{7}+\frac{4}{X}=\frac{6}{7}\)

\(X=14\)
Intern
Intern
avatar
Joined: 30 Oct 2011
Posts: 2
Re: A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 31 Oct 2011, 02:13
shahideh wrote:
the speed of first carpenter\(=\frac{1}{7}\)
the speed of second carpenter\(=\frac{1}{X}\)

\(1*\frac{1}{7}+4*(\frac{1}{7}+\frac{1}{X})=1\)

\(\frac{4}{7}+\frac{4}{X}=\frac{6}{7}\)

\(X=14\)



Fascinatingggggggggggg
Senior Manager
Senior Manager
User avatar
Joined: 07 Aug 2011
Posts: 494
Concentration: International Business, Technology
GMAT 1: 630 Q49 V27
GMAT ToolKit User
A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 28 Mar 2015, 00:27
2
kspice wrote:
A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?

A) 4 2/3
B) 7
C) 9
D) 14
E) 24



Carpenter takes 1+6 = 7days
When he was joined by his fellow carpenter i.e. after 1 day \(\frac{1 ^t^h}{7}\) of the work was already done so remaining \(\frac{6^t^h}{7}\) was done together in 4 days . setting this up on equation .

\(\frac{1}{7} + \frac{1}{X} = \frac{6}{7} * \frac{1}{4}\)
X=14
Answer D .
Current Student
User avatar
Joined: 18 Oct 2014
Posts: 791
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 29 Jun 2016, 09:48
kspice wrote:
A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?

A) 4 2/3
B) 7
C) 9
D) 14
E) 24


On 1st day one carpenter did = 1/7th work (Total days required to finish work= 7 days

Remaining work = 6/7

In next 4 days 1st carpenter must have done 4/7 work, leaving 6/7-4/7= 2/7 for 2nd carpenter.

Now, if 2nd carpenter does 2/7 work in 4 days. he requires 4*7/2= 14 days to finish the whole task.

D is the answer
_________________
I welcome critical analysis of my post!! That will help me reach 700+
Director
Director
User avatar
S
Joined: 17 Dec 2012
Posts: 622
Location: India
A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 05 Jun 2017, 18:45
kspice wrote:
A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?

A) 4 2/3
B) 7
C) 9
D) 14
E) 24

1.(no.of days worked by the first person)/ time taken by him if working alone + (no.of days worked by the second person)/ time taken by him if working alone=1
2. (5/7)+ (4/x) = 1, So x=14
_________________
Srinivasan Vaidyaraman
Magical Logicians
https://magical-logicians-sat-gmat-gre.business.site

Holistic and Holy Approach
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2806
Re: A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 08 Jun 2017, 17:04
kspice wrote:
A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?

A) 4 2/3
B) 7
C) 9
D) 14
E) 24


The rate of the first carpenter is 1/7.

Since the two carpenters can complete the remaining 6/7 of the job in 4 days, their combined rate is:

(6/7)/4 = 6/28 = 3/14

We can let x = the number of days it takes the second carpenter to complete the job alone; thus, his rate = 1/x. We can create the following equation:

1/7 + 1/x = 3/14

Multiplying the equation by 14x, we have:

2x + 14 = 3x

14 = x

The second carpenter could complete the job alone in 14 days.

Answer: D
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
181 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.

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14004
Re: A carpenter worked alone for 1 day on a job that would take him 6 more  [#permalink]

Show Tags

New post 02 Dec 2019, 08:05
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: A carpenter worked alone for 1 day on a job that would take him 6 more   [#permalink] 02 Dec 2019, 08:05
Display posts from previous: Sort by

A carpenter worked alone for 1 day on a job that would take him 6 more

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





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