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

 It is currently 19 Jul 2018, 10:46

### 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

# An empty swimming pool with a capacity of 100,000 liters is to be fill

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 11 Dec 2008
Posts: 459
Location: United States
GMAT 1: 760 Q49 V44
GPA: 3.9
An empty swimming pool with a capacity of 100,000 liters is to be fill  [#permalink]

### Show Tags

14 Aug 2009, 21:08
5
00:00

Difficulty:

15% (low)

Question Stats:

69% (01:12) correct 31% (00:54) wrong based on 149 sessions

### HideShow timer Statistics

An empty swimming pool with a capacity of 100,000 liters is to be filled by hoses A and B simultaneously, with both hoses starting at the same time and flowing constantly until the pool is full. If the amount of water flowing from each hose is independent from the amount flowing from the other hose, how long will it take to fill the pool?

(1) If hose A stopped filling the pool after hoses A and B had filled 1/3 of the pool, it would take 22 hours for hose B to finish filling the pool.
(2) If hose B stopped filling the pool after hoses A and B had filled 1/2 of the pool, it would take 17 hours for hose A to finish filling the pool.
CEO
Joined: 17 Nov 2007
Posts: 3484
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Re: An empty swimming pool with a capacity of 100,000 liters is to be fill  [#permalink]

### Show Tags

14 Aug 2009, 21:37
1
C

We need to know rate for each hoses. First statement gives us rate for B, second statement gives us rate for A. So, C.

If you want to know how to calculate:

1) 22 hours * 3/2 = 33 hours (it would take for hose B to fill the empty pool)
2) 17 hours * 2/1 = 34 hours (it would take for hose A to fill the empty pool)

if both hoses work together:
t*1/33 + t*1/34 = 1 ---> t = 33*34/(33+34) ~ 33.5 hours
_________________

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
Joined: 01 Apr 2008
Posts: 827
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: An empty swimming pool with a capacity of 100,000 liters is to be fill  [#permalink]

### Show Tags

15 Aug 2009, 12:52
Initially was thinking about D. Because if we know the rate of one hose then we can set up an equation for the other hose as the amount of work done by both hoses is given ( eg. 1/3 in case of stmt 1 )
However, we can only set such equation IF we know for how much time were the two hoses operating to fill 1/3 of the pool.

So it should be C
Senior Manager
Joined: 01 Mar 2009
Posts: 348
Location: PDX
Re: An empty swimming pool with a capacity of 100,000 liters is to be fill  [#permalink]

### Show Tags

03 Oct 2009, 19:20
Economist wrote:
Initially was thinking about D. Because if we know the rate of one hose then we can set up an equation for the other hose as the amount of work done by both hoses is given ( eg. 1/3 in case of stmt 1 )
However, we can only set such equation IF we know for how much time were the two hoses operating to fill 1/3 of the pool.

So it should be C

Yep absolutely. It's a great trap though and I fell into it.
_________________

In the land of the night, the chariot of the sun is drawn by the grateful dead

SVP
Joined: 29 Aug 2007
Posts: 2425
Re: An empty swimming pool with a capacity of 100,000 liters is to be fill  [#permalink]

### Show Tags

03 Oct 2009, 23:14
bipolarbear wrote:
An empty swimming pool with a capacity of 100,000 liters is to be filled by hoses A and B simultaneously, with both hoses starting at the same time and flowing constantly until the pool is full. If the amount of water flowing from each hose is independent from the amount flowing from the other hose, how long will it take to fill the pool?

1) If hose A stopped filling the pool after hoses A and B had filled 1/3 of the pool, it would take 22 hours for hose B to finish filling the pool.
2) If hose B stopped filling the pool after hoses A and B had filled ½ of the pool, it would take 17 hours for hose A to finish filling the pool.

Since the capacity of the pool, 100,000 liters, is given, we can get the rate of A and B from each of the statement.

Should be D.
_________________

Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT

VP
Status: mission completed!
Joined: 02 Jul 2009
Posts: 1344
GPA: 3.77
Re: An empty swimming pool with a capacity of 100,000 liters is to be fill  [#permalink]

### Show Tags

18 Mar 2011, 08:48

Total work is 100,000 litres:
a-rate of A hose
b-rate of B hose
100,000/a- time for A hose alone to fill the pool
100,000/b- time for B hose alone to fill the pool

We are asked to find 100,000/(a+b), which reduces to the question what is a+b.

in 1) we are given that after filling a part (1/3 of pool) B worked alone and for a given period of time filled the pool in 22 hours. , so we can calculate b.
we are not provided how much time did it take A and B hose to fill 1/3 of pool, or 33,333 litres., so the 33,333/(a+b)=x hours. hence not sufficeint.

in 2) we are told that it will take hose A 17 hours to fill 50,000 litres of pool, we can calculate a.
50,000/(a+b)=y hours, not sufficient. not suff.

1)& 2) both rates are provided, thus sufficeint to calculate total amount of time. (a+b) , hence C.
_________________

Audaces fortuna juvat!

GMAT Club Premium Membership - big benefits and savings

Senior Manager
Joined: 17 Mar 2011
Posts: 444
Location: United States (DC)
Concentration: General Management, Technology
GMAT 1: 760 Q49 V45
GPA: 3.37
WE: Information Technology (Consulting)
Re: An empty swimming pool with a capacity of 100,000 liters is to be fill  [#permalink]

### Show Tags

18 Mar 2011, 11:31
Pkit, you're correct. Each answer choice only gives you enough information to solve for the rate of one hose.

In order to solve the problem we need to be able to calculate the total rate either directly or indirectly (by finding the rate of both hoses and adding the rates).
Manager
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 211
Location: India
Re: An empty swimming pool with a capacity of 100,000 liters is to be fill  [#permalink]

### Show Tags

08 Aug 2017, 00:20
what is the OA to this question. IMO the answer is D because in each of this statement you can find the individual rates.So answer is D
Math Expert
Joined: 02 Sep 2009
Posts: 47110
Re: An empty swimming pool with a capacity of 100,000 liters is to be fill  [#permalink]

### Show Tags

08 Aug 2017, 00:54
longhaul123 wrote:
what is the OA to this question. IMO the answer is D because in each of this statement you can find the individual rates.So answer is D

The OA is C. Check Walker's solution above.

Also, check very similar question here: https://gmatclub.com/forum/an-empty-swi ... 30024.html

Hope it helps.
_________________
Intern
Joined: 14 Jul 2018
Posts: 1
Re: An empty swimming pool with a capacity of 100,000 liters is to be fill  [#permalink]

### Show Tags

14 Jul 2018, 16:43
Thanks for the above posts,

The quantity of your pool is a calculation of your swimming pool's dimensions extended by your pool's average intensity.
Re: An empty swimming pool with a capacity of 100,000 liters is to be fill &nbs [#permalink] 14 Jul 2018, 16:43
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne 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®.