Working together, Max and Mandy painted the living room in six hours. : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 23 Feb 2017, 00:33

### 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

# Working together, Max and Mandy painted the living room in six hours.

Author Message
TAGS:

### Hide Tags

Joined: 19 Feb 2010
Posts: 401
Followers: 22

Kudos [?]: 174 [0], given: 76

Working together, Max and Mandy painted the living room in six hours. [#permalink]

### Show Tags

16 Sep 2010, 06:29
2
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

74% (02:08) correct 26% (01:38) wrong based on 155 sessions

### HideShow timer Statistics

Working together, Max and Mandy painted the living room in six hours. How long would it have taken for Max to paint the room by himself?

(1) Mandy paints twice as fast as Max does.
(2) If Max had left when the job was half finished, it would have taken Mandy hours 4 1/2 to finish the job by herself.
[Reveal] Spoiler: OA
Retired Moderator
Joined: 02 Sep 2010
Posts: 805
Location: London
Followers: 108

Kudos [?]: 972 [0], given: 25

Re: Working together, Max and Mandy painted the living room in six hours. [#permalink]

### Show Tags

16 Sep 2010, 06:39
(1) Sufficient
If Mandy takes x hours on her own, Max takes 2x
So we know that 1/x + 1/2x = 1/6
We can solve for x

(2) Sufficient
Mandy takes 4.5hours alone to finish half
So Mandy needs 9hours to finish
So 1/9 + 1/(Max) = 1/6
Again we can solve to get how fast Max paints

_________________
Senior Manager
Affiliations: SPG
Joined: 15 Nov 2006
Posts: 330
Followers: 14

Kudos [?]: 715 [1] , given: 28

Re: Working together, Max and Mandy painted the living room in six hours. [#permalink]

### Show Tags

16 Jan 2011, 06:55
1
KUDOS

Working together: $$\frac{Max*Mandy}{Max+Mandy} = 6$$

1) Mandy paints twice as fast as Max does. So Mandy takes half the time that Max does.

$$Mandy = \frac{Max}{2}$$

no need to solve further as we already have two equations. SUFFICIENT.

2) Mandy took $$4\frac{1}{2}$$ hrs to finish $$\frac{1}{2}$$ job. So Mandy takes 9hrs to complete the job. Using this info, can solve the time of Max. SUFFICIENT

HTH

_________________

press kudos, if you like the explanation, appreciate the effort or encourage people to respond.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13926
Followers: 589

Kudos [?]: 167 [0], given: 0

Re: Working together, Max and Mandy painted the living room in six hours. [#permalink]

### Show Tags

20 Sep 2014, 19:45
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.
_________________
Re: Working together, Max and Mandy painted the living room in six hours.   [#permalink] 20 Sep 2014, 19:45
Similar topics Replies Last post
Similar
Topics:
2 If it takes Patrick 4 hours to paint a room, how long did it take Patr 3 16 Jan 2017, 08:36
Working together without taking breaks, Michael and Donna painted the 2 26 Sep 2016, 02:47
2 It takes Joe and Ted four hours to paint a room when they work togethe 4 24 Jun 2016, 02:27
If Bob, working alone, can paint a certain room in 3 hours, how long 2 28 Mar 2016, 01:30
51 Lindsay can paint 1/x of a certain room in one hour 26 08 Aug 2010, 12:46
Display posts from previous: Sort by