NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 06:55 It is currently 26 Apr 2024, 06:55
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a jo

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92933
Own Kudos [?]: 619173 [3]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a jo [#permalink] New post   19 Jun 2018, 23:51
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

77% (02:15) correct 23% (02:52) wrong based on 258 sessions
Hide Show timer Statistics
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a job in 3 hours. How much more time will Nita spend on 4x jobs than Kit will?


A. 8x/3

B. 16x/3

C. 8x

D. 32x/3

E. 16x
ShowHide Answer
Official Answer
B
User avatar
P
DavidTutorexamPAL
examPAL Representative
Joined: 07 Dec 2017
Posts: 1050
Own Kudos [?]: 1777 [2]
Given Kudos: 26
Send PM
Re: Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a jo [#permalink] New post   20 Jun 2018, 00:06
1
Kudos
Bunuel wrote:
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a job in 3 hours. How much more time will Nita spend on 4x jobs than Kit will?


A. 8x/3

B. 16x/3

C. 8x

D. 32x/3

E. 16x


As all our answers contain variables, we can pick an easy number.
This is an Alternative approach.

Let's pick x = 3 as this will cause all our answers to be whole numbers.

If Kit finishes 3/4 jobs in 2 hours, she finishes 3 jobs in 2*4 = 8 hours. So 12 jobs take 8*4 = 32 hours.
If Nita finishes 3/4 jobs in 3 hours, she finishes 3 jobs in 3*4 = 12 hours. So 12*4 = 48 hours.
Then our difference is 48 - 32 = 16 hours.
Since x = 3, this is the exact value of (B).

(B) is our answer.
User avatar
P
GyMrAT
Senior Manager
Senior Manager
Joined: 14 Dec 2017
Posts: 426
Own Kudos [?]: 459 [3]
Given Kudos: 173
Location: India
Send PM
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a jo [#permalink] New post   20 Jun 2018, 02:44
3
Bookmarks
Bunuel wrote:
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a job in 3 hours. How much more time will Nita spend on 4x jobs than Kit will?


A. 8x/3

B. 16x/3

C. 8x

D. 32x/3

E. 16x


Given,
Kit can finish 3/4 job in 2 hours, hence Kits rate of work = 3/8 job per hour

Nita can finish 3/4 job in 3 hours, hence Nitas rate of work = 3/12 job per hour

Time taken by Kit to finish 4x job = 4x/(3/8) = 32x/3 hours

Time taken by Nita to finish 4x job = 4x/(3/12) = 48x/3 hours

Difference in time = 48x/3 - 32x/3 = 16x/3 hours,

Hence Nita will spend 16x/3 hours more than Kit to finish 4x units of job.

Answer B.


Thanks,
GyM
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16844 [0]
Given Kudos: 165
Send PM
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a jo [#permalink] New post   20 Jun 2018, 03:20
Expert Reply

Solution



Given:

    • We are given that Kit can do ¾ of a job in 2hours.
    • Nita can complete ¾ of the same job in 4 hours.
To find:

    • We need to find the extra time that Nita will spend if Kit and Nita both work separately to complete 4x work.

Approach and Working:

Kit finishes ¾ of a job in 2 hours.
    • ¾ of the wok in 2 hours.
    • So, Kit will complete the work in 8/3 hours.
    • Hence, Kit will take 4x*8/3= 32x/3 day to complete 4x job.

Now, Nita can finish 3/4 of a job in 3 hours.
    • ¾ of the wok in 3 hours.
    • So, Nita will complete the work in 12/3=4 hours.
    • Hence, Kit will take 4*4= 16 days to complete 4x job.

Hence, Nita spends 16-32/3= 16/3 days more than Kit to complete the work.

Hence, option B is the correct answer.
Answer: B
User avatar
D
GMATGuruNY
Tutor
Joined: 04 Aug 2010
Posts: 1315
Own Kudos [?]: 3136 [1]
Given Kudos: 9
Schools:Dartmouth College
Send PM
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a jo [#permalink] New post   Updated on: 21 Jun 2018, 06:38
1
Kudos
Expert Reply
Quote:
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a job in 3 hours. How much more time will Nita spend on 4x jobs than Kit will?


A. 8x/3

B. 16x/3

C. 8x

D. 32x/3

E. 16x


Let the larger task = 4x jobs and the smaller task = \(\frac{3}{4}\) of a job.
For the smaller task, the time difference for Nita and Kim = 3-2 = 1 hour.

\(\frac{(larger-task)}{(smaller-task)}\) = \(4x/\frac{3}{4}\) = \(\frac{16x}{3}\).

Since the larger task is \(\frac{16x}{3}\) times the smaller task, the time difference for the larger task must be \(\frac{16x}{3}\) times the time difference for the smaller task:
\(\frac{16x}{3} * 1 = \frac{16x}{3}\) hours.

Show Spoiler
B

Originally posted by GMATGuruNY on 20 Jun 2018, 07:22.
Last edited by GMATGuruNY on 21 Jun 2018, 06:38, edited 4 times in total.
User avatar
L
Mo2men
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2461
Own Kudos [?]: 1360 [0]
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Send PM
Reviews Badge
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a jo [#permalink] New post   21 Jun 2018, 03:43
GMATGuruNY wrote:
In the problem as posted, the value of \(x\) seems unnecessary and misused.
I believe that the following reflects the intent of the problem:

Quote:
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a job in 3 hours. How many more hours will Nita spend on 4 jobs than Kit will?

A. 8/3

B. 16/3

C. 8

D. 32/3

E. 16

For \(\frac{3}{4}\) of a job, the time difference for Nita and Kim = 3-2 = 1 hour.

\(\frac{(larger-job)}{(smaller-job)}\) = \(4/\frac{3}{4}\) = \(\frac{16}{3}\).

Since the larger job is 16/3 times the smaller job, the time difference for the larger job must be 16/3 times the time difference for the smaller job:
16/3 * 1 = 16/3 hours.

Show Spoiler
B


Hi GMATGuruNY

How did you get? What does lager/smaller job mean?
User avatar
D
GMATGuruNY
Tutor
Joined: 04 Aug 2010
Posts: 1315
Own Kudos [?]: 3136 [0]
Given Kudos: 9
Schools:Dartmouth College
Send PM
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a jo [#permalink] New post   21 Jun 2018, 04:05
Expert Reply
Mo2men wrote:

How did you get? What does larger/smaller job mean?


Please revisit my solution, in which I've clarified the reasoning, as follows:
Larger task = 4x jobs.
Smaller task = \(\frac{3}{4}\) of a job.
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22055 [1]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a jo [#permalink] New post   21 Jun 2018, 17:03
1
Bookmarks
Expert Reply
Bunuel wrote:
Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a job in 3 hours. How much more time will Nita spend on 4x jobs than Kit will?


A. 8x/3

B. 16x/3

C. 8x

D. 32x/3

E. 16x


The rate of Kit is (3/4)/2 = 3/8.

The rate of Nita is (3/4)/3 = 3/12 = 1/4.

It will take Kit 4x/(3/8) = 32x/3 hours to complete 4x jobs.

It will take Nita 4x/(1/4) = 16x hours to complete the job. Thus, the difference of their two times is:

16x - 32x/3 = 48x/3 -32x/3 = 16x/3

Answer: B
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32684
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a jo [#permalink] New post   21 Feb 2022, 02:46
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
gmatclubot
Re: Kit can finish 3/4 of a job in 2 hours and Nita can finish 3/4 of a jo [#permalink]
21 Feb 2022, 02:46
Moderators:
Bunuel
Math Expert
92933 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions