Find all School-related info fast with the new School-Specific MBA Forum

It is currently 26 May 2016, 11:58
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A qualified worker digs a well in 5 hours. He invites 2 appr

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

Hide Tags

Senior Manager
Senior Manager
avatar
Joined: 23 May 2005
Posts: 266
Location: Sing/ HK
Followers: 1

Kudos [?]: 39 [0], given: 0

A qualified worker digs a well in 5 hours. He invites 2 appr [#permalink]

Show Tags

New post 04 Oct 2006, 08:14
9
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

51% (03:15) correct 49% (02:27) wrong based on 469 sessions

HideShow timer Statistics

A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?

A. 1:24
B. 1:34
C. 1:44
D. 1:54
E. 2:14
[Reveal] Spoiler: OA
Manager
Manager
User avatar
Joined: 25 May 2006
Posts: 227
Followers: 1

Kudos [?]: 39 [0], given: 0

 [#permalink]

Show Tags

New post 04 Oct 2006, 10:24
Q rate/day = 1/5
A=(3/4)(1/5)=(3/20)(2)=3/10
T=(1/5)(1/5)=(1/25)(2)=1/50

t(1/5+3/10+1/50)=1 = 29/50 –-> t= 50/29
_________________

Who is John Galt?

Director
Director
avatar
Joined: 23 Jun 2005
Posts: 847
GMAT 1: 740 Q48 V42
Followers: 5

Kudos [?]: 48 [0], given: 1

 [#permalink]

Show Tags

New post 04 Oct 2006, 14:34
X & Y wrote:
Q rate/day = 1/5
A=(3/4)(1/5)=(3/20)(2)=3/10
T=(1/5)(1/5)=(1/25)(2)=1/50

t(1/5+3/10+1/50)=1 = 29/50 –-> t= 50/29

I think it must be 2/25 instead of 1/50.
The explanation is valid though.
Manager
Manager
User avatar
Joined: 25 May 2006
Posts: 227
Followers: 1

Kudos [?]: 39 [0], given: 0

 [#permalink]

Show Tags

New post 04 Oct 2006, 14:44
anandsebastin wrote:
X & Y wrote:
Q rate/day = 1/5
A=(3/4)(1/5)=(3/20)(2)=3/10
T=(1/5)(1/5)=(1/25)(2)=1/50

t(1/5+3/10+1/50)=1 = 29/50 –-> t= 50/29

I think it must be 2/25 instead of 1/50.
The explanation is valid though.


You are right; since I did it on paper and then copied to the computer I missed that. Thanks..

It is 2/25
_________________

Who is John Galt?

3 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 28 Aug 2006
Posts: 304
Followers: 13

Kudos [?]: 121 [3] , given: 0

 [#permalink]

Show Tags

New post 05 Oct 2006, 01:33
3
This post received
KUDOS
I have another way.

A can do a work in 5 hours.

Now 2 persons whose efficiency is 3/4 of A joins him.
ie 1 person whose efficiency is 2x3/4 ie 3/2 times of A joins him.

Again 2 persons whose efficiency is 1/5 of A joins him.
ie 1 person whose efficiency is 2x1/5 ie 2/5 times of A joins him.

So finally the people involved in the work is
A+ 3/2(A) + 2/5(A)
ie 29/10 (A)

Since A alone takes 5 hours
29/10 (A) will take 10/29 x 5 i.e 50 /29 hours
_________________

Averages Accelerated:Guide to solve Averages Quickly(with 10 practice problems)

Manager
Manager
User avatar
Joined: 25 May 2006
Posts: 227
Followers: 1

Kudos [?]: 39 [0], given: 0

 [#permalink]

Show Tags

New post 14 Jun 2007, 15:48
Q rate/day = 1/5
A=(3/4)(1/5)=(3/20)(2)=3/10
T=(1/5)(1/5)=(1/25)(2)=2/25

t(1/5+3/10+2/25)=1 = 29/50 --> t= 50/29 or 1:40
_________________

Who is John Galt?

Manager
Manager
User avatar
Joined: 18 Apr 2007
Posts: 121
Followers: 1

Kudos [?]: 5 [0], given: 0

 [#permalink]

Show Tags

New post 01 Jul 2007, 11:57
I must be totally blind! I do not see how you can get 1.4 hours out of 50/29.

Here's how I see it: each hour 29/50 of the job is completed, therefore after the first hour, 29/50 is complete and 21/50 is still remaining to be completed. 21/50 is just slightly less than 29/50, which is inline with the 1.7 that Juaz got.

Can someone please explain what I am missing? :oops:

Thanks!
Manager
Manager
avatar
Joined: 03 Mar 2007
Posts: 163
Followers: 1

Kudos [?]: 19 [0], given: 0

 [#permalink]

Show Tags

New post 01 Jul 2007, 12:11
Bluebird wrote:
I must be totally blind! I do not see how you can get 1.4 hours out of 50/29.

Here's how I see it: each hour 29/50 of the job is completed, therefore after the first hour, 29/50 is complete and 21/50 is still remaining to be completed. 21/50 is just slightly less than 29/50, which is inline with the 1.7 that Juaz got.

Can someone please explain what I am missing? :oops:

Thanks!


50/29 = 1.7 hrs

(.7)60 = approx 40 mins

so total time = 1 hour and 40 mins.

I think the answers are a bit confusing.
Manager
Manager
avatar
Joined: 11 Apr 2008
Posts: 156
Schools: Kellogg(A), Wharton(W), Columbia(D)
Followers: 1

Kudos [?]: 57 [0], given: 0

Re: GMAT Club Test M00 [#permalink]

Show Tags

New post 23 May 2008, 00:03
lucyqin wrote:
chengliu wrote:
Hey guys can someone please explain to me the explanation below?? Its late and i just dont understand how 50/29 = 1:44 ???

A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?


* 1:24
* 1:34
* 1:44
* 1:54
* 2:14

R= 1/5 + 2*(3/4)*(1/5)+2*(1/5)*(1/5)= 58/100
T=100/58 or 50/29

So, T= 50/29 or 1:44.
The correct answer is C.


The unit for T is in hours. T=50/29 means 1 hour and 21/29 of an hour which equals 44 minutes.


Is there a fast way of calculating the time 44 mims from 21/29 hours ??
Expert Post
2 KUDOS received
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3580
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 479

Kudos [?]: 2742 [2] , given: 359

GMAT ToolKit User Premium Member
Re: GMAT Club Test M00 [#permalink]

Show Tags

New post 23 May 2008, 00:55
2
This post received
KUDOS
Expert's post
21/29 is slightly greater (~1/30) than 21/30 or 42/60 or 42 mins.
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Director
Director
avatar
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 547
Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Followers: 3

Kudos [?]: 49 [0], given: 562

Re: GMAT Club Test M00 [#permalink]

Show Tags

New post 15 Feb 2013, 03:20
bunuel,
Is there a method( text book approach) to calculate the time 44 mims from 21/29 hours ??
_________________

hope is a good thing, maybe the best of things. And no good thing ever dies.

Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595

My GMAT Journey : end-of-my-gmat-journey-149328.html#p1197992

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 33025
Followers: 5758

Kudos [?]: 70567 [0], given: 9849

Re: GMAT Club Test M00 [#permalink]

Show Tags

New post 15 Feb 2013, 03:32
Expert's post
Manager
Manager
User avatar
Joined: 18 Dec 2012
Posts: 96
Location: India
Concentration: General Management, Strategy
GMAT 1: 660 Q49 V32
GMAT 2: 530 Q37 V25
GPA: 3.32
WE: Manufacturing and Production (Manufacturing)
Followers: 1

Kudos [?]: 16 [0], given: 33

GMAT ToolKit User CAT Tests
Re: A qualified worker digs a well in 5 hours. He invites 2 appr [#permalink]

Show Tags

New post 05 Oct 2013, 02:36
Stiv wrote:
A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
A 1:24
B 1:34
C 1:44
D 1:54
E 2:14


Your question sounds vague to me. The answer should be in terms of time. Anyway I just solved based on the data given.

Rate of the Work = \(1 / 5\)

Rate of 2 apprentice = \(2 * (1/5) * (3/4) = 6/20\)

Rate of 2 Trainees = \(2 * (1/5) * (1/5) = 2/25\)

Total Rate of 5 people = \((1/5) + (6/20) + (2/25) = 58/100\)

Time required to dig 1 Well = \(1/ (58/100) = 100/58 hours\)
_________________

I'm telling this because you don't get it. You think you get it which is not the same as actually getting it. Get it?

Intern
Intern
avatar
Joined: 28 Jan 2013
Posts: 34
Followers: 0

Kudos [?]: 19 [0], given: 20

Re: A qualified worker digs a well in 5 hours. He invites 2 appr [#permalink]

Show Tags

New post 05 Oct 2013, 02:57
Actually question is asking about the time they need. options are in hours:minutes.
Question is ok.

and answer is correct as you have calculated : 100/58 hrs that is 1.72 hrs - 1 hr and 44 minutes, so 1:44, hence, C.
Manager
Manager
User avatar
Joined: 18 Dec 2012
Posts: 96
Location: India
Concentration: General Management, Strategy
GMAT 1: 660 Q49 V32
GMAT 2: 530 Q37 V25
GPA: 3.32
WE: Manufacturing and Production (Manufacturing)
Followers: 1

Kudos [?]: 16 [0], given: 33

GMAT ToolKit User CAT Tests
Re: A qualified worker digs a well in 5 hours. He invites 2 appr [#permalink]

Show Tags

New post 05 Oct 2013, 03:18
Chiranjeevee wrote:
Actually question is asking about the time they need. options are in hours:minutes.
Question is ok.

and answer is correct as you have calculated : 100/58 hrs that is 1.72 hrs - 1 hr and 44 minutes, so 1:44, hence, C.


Thanks for the info. I better get used to this type of time representation.
_________________

I'm telling this because you don't get it. You think you get it which is not the same as actually getting it. Get it?

Current Student
avatar
Joined: 26 Sep 2013
Posts: 221
Concentration: Finance, Economics
GMAT 1: 670 Q39 V41
GMAT 2: 730 Q49 V41
Followers: 4

Kudos [?]: 105 [0], given: 40

Re: A qualified worker digs a well in 5 hours. He invites 2 appr [#permalink]

Show Tags

New post 17 Oct 2013, 12:30
Q rate = 1/5
A rate = 1/5*3/4
T rate = 1/5*1/5

1/5+2*(1/5*3/4)+2*(1/5*1/5)=1/t

1/5+6/20+2/25=1/t

58/100=1/t

58t=100

t=100/58=1 21/29, which is slightly below 1 3/4, so it must be 1:44 for an answer
Intern
Intern
avatar
Joined: 23 Sep 2013
Posts: 30
Followers: 0

Kudos [?]: 0 [0], given: 1

Work/rate problem - was my approach incorrect? [#permalink]

Show Tags

New post 02 Nov 2013, 21:57
A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?

A) 1:24
B) 1:34
C) 1:44
D) 1:54
E) 2:14



I started with the original rate for the worker as 1/5.

Each apprentice would have a rate (1/5)*(3/4) = 3/20

Each trainee would have a rate (1/5) * (1/5) = 1/25

Combining all of it together 1/5 + 3/20 + 3/20 + 1/25 + 1/25 = 58/100 per hour

After one hour, the remaining work to be done is 42/100

Is it possible to use this approach to solve the problem?
Manager
Manager
avatar
Joined: 12 Nov 2012
Posts: 155
Location: India
Concentration: Finance, Technology
GMAT 1: 650 Q51 V26
GMAT 2: 690 Q50 V32
GMAT 3: 710 Q51 V34
GPA: 2.7
WE: Analyst (Computer Software)
Followers: 4

Kudos [?]: 47 [0], given: 123

Re: Work/rate problem - was my approach incorrect? [#permalink]

Show Tags

New post 03 Nov 2013, 04:30
undecidedonmba wrote:
A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?

A) 1:24
B) 1:34
C) 1:44
D) 1:54
E) 2:14



I started with the original rate for the worker as 1/5.

Each apprentice would have a rate (1/5)*(3/4) = 3/20

Each trainee would have a rate (1/5) * (1/5) = 1/25

Combining all of it together 1/5 + 3/20 + 3/20 + 1/25 + 1/25 = 58/100 per hour

After one hour, the remaining work to be done is 42/100

Is it possible to use this approach to solve the problem?




Hi,

Your approach is perfectly correct but I do not see the answer options to be in sync with the question that's asked. The question is "hpw much time does the team need to finish the job" but answer options are in proportion/ratio format. Can you verify whether the question stem is correct?
According to me the answer should be 50/29 hours. I used the same approach as yours.
_________________

C'est la vie

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9638
Followers: 465

Kudos [?]: 120 [0], given: 0

Premium Member
Re: GMAT Club Test M00 [#permalink]

Show Tags

New post 25 May 2014, 02:56
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9638
Followers: 465

Kudos [?]: 120 [0], given: 0

Premium Member
Re: A qualified worker digs a well in 5 hours. He invites 2 appr [#permalink]

Show Tags

New post 19 Oct 2015, 09:28
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: A qualified worker digs a well in 5 hours. He invites 2 appr   [#permalink] 19 Oct 2015, 09:28

Go to page    1   2    Next  [ 27 posts ] 

    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic A truck driver drove for 2 days. On the second day, he drove 3 hours Bunuel 2 27 Dec 2015, 09:30
1 Experts publish their posts in the topic Tom corrects 30% of a batch of 210 letters in 2 hours. He then changes reto 1 15 May 2015, 03:26
6 Torry has submitted 2/5 of his homework assignments, and he received a bdennis 4 20 Oct 2014, 00:14
3 Henry answered 2/5 of the questions he was given for homewor nave 8 08 Jun 2013, 14:09
5 In March, Kurt ran an average of 1.5 miles an hour. If by June he had jamifahad 7 01 Sep 2011, 05:32
Display posts from previous: Sort by

A qualified worker digs a well in 5 hours. He invites 2 appr

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.