It is currently 23 Oct 2017, 10:35

### 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

# Events & Promotions

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

# An empty pool being filled with water at a constant rate

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178

Kudos [?]: 3495 [2], given: 0

An empty pool being filled with water at a constant rate [#permalink]

### Show Tags

20 Dec 2012, 05:53
2
This post received
KUDOS
9
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

75% (01:17) correct 25% (01:25) wrong based on 1022 sessions

### HideShow timer Statistics

An empty pool being filled with water at a constant rate takes 8 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?

(A) 5 hr 30 min
(B) 5 hr 20 min
(C) 4 hr 48 min
(D) 3 hr 12 min
(E) 2 hr 40 min
[Reveal] Spoiler: OA

Kudos [?]: 3495 [2], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129475 [0], given: 12201

Re: An empty pool being filled with water at a constant rate [#permalink]

### Show Tags

20 Dec 2012, 05:56
Expert's post
1
This post was
BOOKMARKED
Walkabout wrote:
An empty pool being filled with water at a constant rate takes 8 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?

(A) 5 hr 30 min
(B) 5 hr 20 min
(C) 4 hr 48 min
(D) 3 hr 12 min
(E) 2 hr 40 min

As pool is filled to 3/5 of its capacity then 2/5 of its capacity is left to fill.

Since it takes 8 hours to fill 3/5 of the pool, then to fill 2/5 of the pool it will take 8/(3/5)*2/5 = 16/3 hours = 5 hours 20 minutes (because if t is the time needed to fill the pool then t*3/5=8 --> t=8*5/3 hours --> to fill 2/5 of the pool 8*5/3*2/5=16/3 hours will be needed).

Or plug values: take the capacity of the pool to be 5 liters --> 3/5 of the pool or 3 liters is filled in 8 hours, which gives the rate of 3/8 liters per hour --> remaining 2 liters will require: time = job/rate = 2/(3/8) = 16/3 hours = 5 hours 20 minutes.

Answer: B.
_________________

Kudos [?]: 129475 [0], given: 12201

Manager
Joined: 08 Dec 2012
Posts: 66

Kudos [?]: 273 [3], given: 31

Location: United Kingdom
WE: Engineering (Consulting)
Re: An empty pool being filled with water at a constant rate [#permalink]

### Show Tags

26 Jan 2013, 05:33
3
This post received
KUDOS
2
This post was
BOOKMARKED
I tried using just ratios to solve this (because rate is constant):

8Hrs to fill 3/5 tank i.e 0.6 of the tank
X hrs to fill 2/5 tank i.e 0.4 of the tank

=> 8/0.6 = X/0.4
=> X=3.2/0.6 = 32/6 = 16/3 = 5.33hrs i.e 5hr20min

Kudos [?]: 273 [3], given: 31

Manager
Joined: 28 Aug 2012
Posts: 53

Kudos [?]: 165 [1], given: 105

Concentration: Operations, Marketing
GMAT 1: 510 Q36 V25
GPA: 4
WE: Information Technology (Other)
Re: An empty pool being filled with water at a constant rate [#permalink]

### Show Tags

28 Jan 2013, 14:28
1
This post received
KUDOS
Hey,
Is'nt 16/3 = 5.3 ~ . This might be silly, but i chose 5 hours 30 mins . I don't want to make this mistake again, kindly help me

Thanks
Aj

Kudos [?]: 165 [1], given: 105

Intern
Joined: 29 Dec 2011
Posts: 29

Kudos [?]: 4 [1], given: 2

Re: An empty pool being filled with water at a constant rate [#permalink]

### Show Tags

28 Jan 2013, 15:11
1
This post received
KUDOS
1
This post was
BOOKMARKED
30 minutes/60 minutes=.5, so 5 and a half hours would be 5.5, not 5.33.

Kudos [?]: 4 [1], given: 2

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16534

Kudos [?]: 274 [0], given: 0

Re: An empty pool being filled with water at a constant rate [#permalink]

### Show Tags

26 Apr 2014, 19:12
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.
_________________

Kudos [?]: 274 [0], given: 0

Intern
Joined: 21 Feb 2014
Posts: 1

Kudos [?]: [0], given: 11

Re: An empty pool being filled with water at a constant rate [#permalink]

### Show Tags

21 May 2015, 04:55
Let the total amount of water eq l

then rate : ( 3/5 * l ) / 8 = 3/40 * l

So time required to fill the full tank = l / ( (3/40) * l ) = 40/3

So time required to fill the remaining section = ( 40/3 - 8 ) hrs = 16/3 hrs = 5 1/3 hrs = 5 hr 20 min

Kudos [?]: [0], given: 11

Intern
Joined: 30 Jul 2013
Posts: 42

Kudos [?]: 15 [0], given: 27

Concentration: Technology, General Management
GMAT Date: 07-03-2015
GPA: 3.8
WE: Information Technology (Computer Software)
Re: An empty pool being filled with water at a constant rate takes 8 hours [#permalink]

### Show Tags

29 May 2015, 21:03
As per what I did,

8 Hours - 3/5 of capacity
? Time - to fill remaining - 2/5 of capacity.

But the answer I am getting is incorrect. Could someone share the appropriate process to work on this?
_________________

On the Kudos Spree.

If you like my post/comment please appreciate with kudos

Kudos [?]: 15 [0], given: 27

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 9990

Kudos [?]: 3423 [0], given: 172

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: An empty pool being filled with water at a constant rate takes 8 hours [#permalink]

### Show Tags

29 May 2015, 21:08
Expert's post
1
This post was
BOOKMARKED
Hi Pretz,

There are a couple of different ways to approach the math in this question. It looks like you started to set up a ratio, but didn't complete the work. Here's one way to go about it:

Since it takes 8 hours to fill 3/5 of the pool and X hours to fill 2/5 of the pool.....

8/X = (3/5)/(2/5)

Since both fractions are "over 5", we can multiply those 5s out (by multiplying the numerator and denominator by 5)....

8/X = 3/2

Now we can cross-multiply and solve for X....

16 = 3X
16/3 = X
5 1/3 hours = X

5 1/3 hours = 5 hours 20 minutes

Final Answer:
[Reveal] Spoiler:
B

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ ***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*********************** Kudos [?]: 3423 [0], given: 172 Manager Joined: 21 Feb 2012 Posts: 61 Kudos [?]: 57 [0], given: 63 An empty pool being filled with water at a constant rate takes 8 hours [#permalink] ### Show Tags 29 May 2015, 21:46 Pretz wrote: As per what I did, 8 Hours - 3/5 of capacity ? Time - to fill remaining - 2/5 of capacity. But the answer I am getting is incorrect. Could someone share the appropriate process to work on this? Hello there Pretz I think your approach is fine. $$8$$ $$hours$$ ----- $$\frac{3}{5}$$ multiply by $$\frac{5}{3}$$ on both sides $$8*\frac{5}{3}$$ $$hours$$ ----- $$\frac{3}{5} *\frac{5}{3}$$ $$\frac{40}{3}$$ $$hours$$ ----- $$1$$ So it takes $$\frac{40}{3}$$ $$hours$$ to fill the tank The additional time required to fill $$\frac{2}{3}$$rd of the tank will be $$\frac{40}{3} - 8$$ $$hours$$ $$\frac{16}{3}$$ $$hours$$ $$5 \frac{1}{3}$$ $$hours$$ $$5$$ $$hours$$ $$20$$ $$minutes$$ I hope that explains it _________________ Regards J Do consider a Kudos if you find the post useful Kudos [?]: 57 [0], given: 63 GMAT Tutor Joined: 24 Jun 2008 Posts: 1339 Kudos [?]: 1960 [1], given: 6 Re: An empty pool being filled with water at a constant rate takes 8 hours [#permalink] ### Show Tags 29 May 2015, 21:53 1 This post received KUDOS Expert's post If it takes 8 hours to fill 3/5 of the pool, then it takes 8/3 hours to fill 1/5 of the pool, and it thus takes 16/3 hours to fill 2/5 of the pool, which is what we need to do. _________________ GMAT Tutor in Toronto If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com Kudos [?]: 1960 [1], given: 6 Intern Joined: 30 Jul 2013 Posts: 42 Kudos [?]: 15 [0], given: 27 Concentration: Technology, General Management GMAT Date: 07-03-2015 GPA: 3.8 WE: Information Technology (Computer Software) Re: An empty pool being filled with water at a constant rate takes 8 hours [#permalink] ### Show Tags 29 May 2015, 22:05 Awesome! Thank you so much all! _________________ On the Kudos Spree. If you like my post/comment please appreciate with kudos Kudos [?]: 15 [0], given: 27 Senior Manager Joined: 21 May 2015 Posts: 266 Kudos [?]: 132 [0], given: 57 Concentration: Operations, Strategy GMAT 1: 750 Q50 V41 Re: An empty pool being filled with water at a constant rate [#permalink] ### Show Tags 01 Jun 2015, 02:53 B if the rates are constant the ratio of capacity is proportional to that of time x/8=2/3 ------- x = 5 hr 20 min _________________ Apoorv I realize that i cannot change the world....But i can play a part Kudos [?]: 132 [0], given: 57 Optimus Prep Instructor Joined: 06 Nov 2014 Posts: 1905 Kudos [?]: 524 [1], given: 23 Re: An empty pool being filled with water at a constant rate [#permalink] ### Show Tags 02 Jun 2015, 09:13 1 This post received KUDOS Expert's post An empty pool being filled with water at a constant rate takes 8 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool? (3/5) An empty pool being filled with water at a constant rate takes 8 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool? (3/5) of a pool/ 8 hours = 3/40 (the rate) (3 pools/40 hours) = (2/5* pool)/ x hours Cross multiply 3x = (2/5) 40 3x = (2/5) (8) (5) 3x = 16 x = 16/3 or 5 1/3 1/3 of an hour = 20 minutes * The pool is 3/5 full so 2/5 remains. (A) 5 hr 30 min (B) 5 hr 20 min (C) 4 hr 48 min (D) 3 hr 12 min (E) 2 hr 40 min _________________ # Janielle Williams Customer Support Special Offer:$80-100/hr. Online Private Tutoring
GMAT On Demand Course \$299
Free Online Trial Hour

Kudos [?]: 524 [1], given: 23

Manager
Joined: 20 Mar 2015
Posts: 64

Kudos [?]: 32 [0], given: 9

Re: An empty pool being filled with water at a constant rate [#permalink]

### Show Tags

17 May 2016, 05:59
1
This post was
BOOKMARKED
We know,
R * T = Q , suppose the Q=100ltr. then,
R * 8 = 3/5 of 100 ==> 60/8 ==> 15/2 ltr per hour.

now, remaning 40ltr(which is 100 - 60 or 2/5 of 100)
R * t = Q
or, 15/2 * t = 40
or, t = 40 * 2/15
t = 16/3 = 5.33 = 5 hour + 1/3 and 1/3 of 60 = 20. so, 5 hour 20 mins.

If only such questions were asked in GMAT.

Kudos [?]: 32 [0], given: 9

Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1545

Kudos [?]: 841 [1], given: 5

Re: An empty pool being filled with water at a constant rate [#permalink]

### Show Tags

17 May 2016, 17:01
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Walkabout wrote:
An empty pool being filled with water at a constant rate takes 8 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?

(A) 5 hr 30 min
(B) 5 hr 20 min
(C) 4 hr 48 min
(D) 3 hr 12 min
(E) 2 hr 40 min

Solution:

To solve we can setup a proportion. The proportion will read:

A time of 8 hours is to filling up 3/5 of the pool is the same as a time of x number of hours is to filling up (the remaining) 2/5 of the pool. Setting this up mathematically we have:

8/(3/5) = x/(2/5)

8/(3/5) = x/(2/5)

40/3= 5x/2

Cross multiplying, we get:

80 = 15x

16 = 3x

16/3 = x

5 1/3 hours = x

5 hours and 20 minutes = x

Answer: B
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 841 [1], given: 5

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16534

Kudos [?]: 274 [0], given: 0

Re: An empty pool being filled with water at a constant rate [#permalink]

### Show Tags

23 May 2017, 20:36
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.
_________________

Kudos [?]: 274 [0], given: 0

Re: An empty pool being filled with water at a constant rate   [#permalink] 23 May 2017, 20:36
Display posts from previous: Sort by

# An empty pool being filled with water at a constant rate

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.