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

 It is currently 23 Jun 2018, 23:51

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A group of 4 junior lawyers require 5 hours to complete a legal resear

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 46302
A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

### Show Tags

26 Nov 2014, 07:42
3
5
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:20) correct 20% (01:16) wrong based on 179 sessions

### HideShow timer Statistics

Tough and Tricky questions: Work/Rate Problems.

A group of 4 junior lawyers require 5 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?

A) 13
B) 10
C) 9
D) 6
E) 5

Kudos for a correct solution.

Source: Chili Hot GMAT

_________________
Manager
Joined: 12 Sep 2014
Posts: 162
GMAT 1: 740 Q49 V41
GPA: 3.94
Re: A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

### Show Tags

26 Nov 2014, 10:45
2
Assuming that all junior lawyers work at the same rate, we can formulate the expression of 4*1/x (representing the 4 lawyers working together) and this equals 1/5 (reciprocal of the time it takes them together). Solving for x yields 20 hours (the time it takes one lawyer working alone). Since the assistants work at 2/3 the rate, it takes each of them 20*3/2=30 hours individually. For 3 of them working together, it takes 3*1/30 = 1/10, which is the reciprocal of 10 hours for them working as a group.

Choice B
Manager
Joined: 05 Jun 2014
Posts: 67
GMAT 1: 630 Q42 V35
Re: A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

### Show Tags

26 Nov 2014, 12:46
3
1
Convert rate of assistant to junior lawyer,
Assistant = 2/3 Jr.lawyer,
so 3 assistants = 2/3 * 3 = 2 junior lawyer.
Now 4 lawyers completed the job in 5hrs so 2 of them will complete in 5*2 = 10hrs
Intern
Joined: 25 May 2014
Posts: 46
Re: A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

### Show Tags

26 Nov 2014, 13:01
1
Bunuel wrote:

Tough and Tricky questions: Work/Rate Problems.

A group of 4 junior lawyers require 5 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?

A) 13
B) 10
C) 9
D) 6
E) 5

Kudos for a correct solution.

Source: Chili Hot GMAT

one hr work of 4 lawyers is 1/5
then one hr work of 1 lawyer will be 1/20
given that assistant works at two-thirds the rate of a junior lawyer
therefore in one hr an assistant will complete 2/3 of 1/20 i.e 1/30 of work
then one hr work of a group of 3 assistants will be 3* 1/30 = 1/10
thus a group of 3 assistant will complete the work in 10 hours
[B]
_________________

Never Try Quitting, Never Quit Trying

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

### Show Tags

26 Nov 2014, 20:03
4

Rate of a Lawyer $$= \frac{1}{5*4} = \frac{1}{20}$$

Rate of a assistant $$= \frac{1}{20} * \frac{2}{3} = \frac{1}{30}$$

Rate of 3 assistants $$= 3 * \frac{1}{30} = \frac{1}{10}$$

Time required by3 assistants = 10
_________________

Kindly press "+1 Kudos" to appreciate

Intern
Joined: 10 Mar 2014
Posts: 37
Concentration: General Management, Technology
GMAT 1: 650 Q47 V32
GPA: 4
Re: A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

### Show Tags

26 Nov 2014, 21:05
2
Work = worker * time = 4*5 =20
20 = (2/3)*3 * t => t=10

Senior Manager
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 423
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Re: A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

### Show Tags

12 Jan 2015, 12:02
Unless my line of reasoning is not correct, this one was actually extremely easy, if you just notice this:

# of people times the # of hours:
4*5 = 20 --> 4 lawyers do 20 "works" in 5 hours.
3*10/3 = 30/3 = 10 --> 3 assistants do 10 "works" in 10/3 hours (2/3*5= 10/3)

So, since the amount of work the assistants do is half the work the lawyers do, the time will be double, so ANS B
Manager
Joined: 25 Sep 2015
Posts: 133
Location: United States
GMAT 1: 700 Q48 V37
GPA: 3.26
Re: A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

### Show Tags

25 Feb 2016, 16:20
Bunuel wrote:

Tough and Tricky questions: Work/Rate Problems.

A group of 4 junior lawyers require 5 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?

A) 13
B) 10
C) 9
D) 6
E) 5

Kudos for a correct solution.

Source: Chili Hot GMAT

4J.L ---- 5hrs ------ 1/20 (per hr per J.L)

1/10 ------ (per hr per L.A)

Therefore 10 hours in total.
Manager
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 209
Location: India
Re: A group of 4 junior lawyers require 5 hours to complete a legal resear [#permalink]

### Show Tags

02 Aug 2017, 00:06
So there are 4 junior lawyers and they work for 5 hours, therefore the total work is of 20 units (number of men *number of hours)
Now the rate of the junior lawyer is total work / total time = 20/5=4 units / hour
Now the rate of the legal assistant is 2/3 of the rate of the junior
Therefore, 2/3 (4)=8/3 is the rate of the legal assistant
Is my method of calculation wrong and also can someone help me know as to where am I going wrong in my concepts. Thanks in advance
Re: A group of 4 junior lawyers require 5 hours to complete a legal resear   [#permalink] 02 Aug 2017, 00:06
Display posts from previous: Sort by