Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
26 May 2022, 08:45
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (02:32) correct
16%
(03:36)
wrong
based on 31
sessions
History
Date
Time
Result
Not Attempted Yet
Working alone at her constant rate, Danya takes 2 hours to paint 1/2 a wall. Working alone at her constant rate, Aurelie takes 3 hours to paint 2 walls of the same size. If Danya starts painting a wall on her own for 3 hours, and is then joined by Aurelie, for how many hours will Aurelie and Danya now have to work together to finish 3 walls?
A. 2
B. 27/13
C. 27/11
D. 27/10
E. 3
A. 2
B. 27/13
C. 27/11
D. 27/10
E. 3
26 May 2022, 08:54
Kudos
Bookmarks
rate of Danya to paint a wall 1/4
rate of Aurelie to paint a wall 2/3
total walls to paint 3
work done by Danya in 3 hrs ; 3/4
work left to be done 3-3/4 ; 9/4
together when working rate is ( 1/4 + 2/3 ) ; 11/12
time taken to complete 9/4 work will be
11/12 * x = 9/4
x = 27/11
option C
rate of Aurelie to paint a wall 2/3
total walls to paint 3
work done by Danya in 3 hrs ; 3/4
work left to be done 3-3/4 ; 9/4
together when working rate is ( 1/4 + 2/3 ) ; 11/12
time taken to complete 9/4 work will be
11/12 * x = 9/4
x = 27/11
option C
Bunuel
Working alone at her constant rate, Danya takes 2 hours to paint 1/2 a wall. Working alone at her constant rate, Aurelie takes 3 hours to paint 2 walls of the same size. If Danya starts painting a wall on her own for 3 hours, and is then joined by Aurelie, for how many hours will Aurelie and Danya now have to work together to finish 3 walls?
A. 2
B. 27/13
C. 27/11
D. 27/10
E. 3
A. 2
B. 27/13
C. 27/11
D. 27/10
E. 3
26 May 2022, 09:12
Kudos
Bookmarks
Bunuel
Working alone at her constant rate, Danya takes 2 hours to paint 1/2 a wall. Working alone at her constant rate, Aurelie takes 3 hours to paint 2 walls of the same size. If Danya starts painting a wall on her own for 3 hours, and is then joined by Aurelie, for how many hours will Aurelie and Danya now have to work together to finish 3 walls?
A. 2
B. 27/13
C. 27/11
D. 27/10
E. 3
A. 2
B. 27/13
C. 27/11
D. 27/10
E. 3
Danya can paint 1/2 a wall in 2 hours, so she paints 1/4 wall per hour.
Aurelie can paint 2 walls in 3 hours, so she paints 2/3 wall per hour.
Let's give ourselves a common denominator. Danya paints 3/12 and Aurelie paints 8/12 per hour, so together they paint 11/12 per hour.
Danya starts painting for 3 hours, so finishes 9/12 of a wall, which leaves 2 and 3/12 for both to paint together. That's 27/12.
So, it's going to take them 27/11 hours to finish.
Answer choice C.
It's also worth noting that we can treat this as a Hidden Plug In question if we don't like the numbers provided.
Bunuel, you can't MAKE us use fractional rates!
We are told about painting 1/2 a wall and 2 walls and are asked about painting 3 walls. You can imagine this exact same question with X, 4X, and 6X instead. And in that case, it would definitely be a Hidden Plug In. So let's do it that way. Let's change the job so that each wall equals solving 12 GMAT questions.
Danya takes 2 hours to solve 6 questions. So she can do 3 questions per hour.
Aurelie takes 3 hours to solve 24 questions. So she can do 8 questions per hour.
Together they can do 11 questions per hour.
Danya starts working for 3 hours alone, so she does 9 question.
We are asked how long both of them together will take to finish 36 questions. Danya has already done 9, so they have 27 left to do.
27 questions at 11 questions per hour is 27/11.
Answer choice C.
ThatDudeKnowsRates
ThatDudeKnowsHiddenPlugIn
