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

 It is currently 18 Jun 2019, 02:01

### 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

# When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55664
When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap  [#permalink]

### Show Tags

26 Apr 2019, 06:57
00:00

Difficulty:

45% (medium)

Question Stats:

68% (02:28) correct 32% (02:26) wrong based on 146 sessions

### HideShow timer Statistics

When a rectangular vat that is 3 feet deep is filled to 2/3 of its capacity, it contains 60 gallons of water. If $$7\frac{1}{2}$$ gallons of water occupies 1 cubic foot of space, what is the area, in square feet, of the base of the vat?

A.  4
B.  8
C.  12
D. 150
E. 225

PS95602.01
Quantitative Review 2020 NEW QUESTION

_________________
Intern
Joined: 24 Dec 2015
Posts: 18
WE: Marketing (Pharmaceuticals and Biotech)
Re: When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap  [#permalink]

### Show Tags

15 May 2019, 04:03
1
Let's assume V as the volume of our vat. 2/3*X=60 so we can find V=60*3/2=90.
Volume=width*length*height, width*length= area of our base and width*length*3=90 => width*length=90/3=30
Our answer is 30*2/15=4, which is A.
Intern
Joined: 01 Dec 2018
Posts: 6
Re: When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap  [#permalink]

### Show Tags

17 May 2019, 15:44
1
Unitary method can be applied to this :

If, 2/3 is 60 gallons then 3/3(1) = 90 gallons
As 1 cubic feet = 15/2 ,
12 cubic feet = 15/2*12 (multiplying both sides by 12)
12 cubic = 90 gallons (total volume)

total area = 3*X = 12
Therefore, x = 4
A
Senior Manager
Joined: 25 Feb 2019
Posts: 327
Re: When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap  [#permalink]

### Show Tags

26 Apr 2019, 08:45
IMO A

volume = area of base *height

let the area be A

then volume = A*3

now this is filled to 2/3 of its capacity

so volume of water = 2/3*(A*3)

now the volume of water = 60(15/2)= 8 cubic feet

so 2/3*(A*3)= 8

So A = 8/2 = 4

Posted from my mobile device
CEO
Joined: 18 Aug 2017
Posts: 3868
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap  [#permalink]

### Show Tags

28 Apr 2019, 05:24
total fill in feet ; 3*2/3 = 2feet
and 60 gallons in feet have 60*2/15 = 8 ft^3 of water
so base has 8ft^3/2feet = 4ft^2
IMO A

Bunuel wrote:
When a rectangular vat that is 3 feet deep is filled to 2/3 of its capacity, it contains 60 gallons of water. If $$7\frac{1}{2}$$ gallons of water occupies 1 cubic foot of space, what is the area, in square feet, of the base of the vat?

A.  4
B.  8
C.  12
D. 150
E. 225

PS95602.01
Quantitative Review 2020 NEW QUESTION

_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Senior Manager
Joined: 12 Sep 2017
Posts: 267
Re: When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap  [#permalink]

### Show Tags

17 May 2019, 14:32
Snezanelle wrote:
Let's assume V as the volume of our vat. 2/3*X=60 so we can find V=60*3/2=90.
Volume=width*length*height, width*length= area of our base and width*length*3=90 => width*length=90/3=30
Our answer is 30*2/15=4, which is A.

Hello! Snezanelle,

Where does the 15 comes from?

Kind regards!
ISB School Moderator
Joined: 08 Dec 2013
Posts: 427
Location: India
Concentration: Nonprofit, Sustainability
GMAT 1: 630 Q47 V30
WE: Operations (Non-Profit and Government)
Re: When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap  [#permalink]

### Show Tags

17 May 2019, 18:28
Bunuel wrote:
When a rectangular vat that is 3 feet deep is filled to 2/3 of its capacity, it contains 60 gallons of water. If $$7\frac{1}{2}$$ gallons of water occupies 1 cubic foot of space, what is the area, in square feet, of the base of the vat?

A.  4
B.  8
C.  12
D. 150
E. 225

PS95602.01
Quantitative Review 2020 NEW QUESTION

Let x be the area sq. foot of base. Volume of the water= x*2 ....(Height of tank filled id 2 ft.)

Now form the proportion 15/2 : 1 :: 60 : 2x
x=4.
_________________
Kindly drop a '+1 Kudos' if you find this post helpful.

GMAT Math Book

-I never wanted what I gave up
I never gave up what I wanted-
Intern
Joined: 24 Dec 2015
Posts: 18
WE: Marketing (Pharmaceuticals and Biotech)
Re: When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap  [#permalink]

### Show Tags

18 May 2019, 08:24
jfranciscocuencag wrote:
Snezanelle wrote:
Let's assume V as the volume of our vat. 2/3*X=60 so we can find V=60*3/2=90.
Volume=width*length*height, width*length= area of our base and width*length*3=90 => width*length=90/3=30
Our answer is 30*2/15=4, which is A.

Hello! Snezanelle,

Where does the 15 comes from?

Kind regards!

Hi,
15/2 = 7*(1/2), which is mentioned in the problem.
Intern
Joined: 10 Jul 2017
Posts: 17
Re: When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap  [#permalink]

### Show Tags

21 May 2019, 10:08
[quote="Bunuel"]When a rectangular vat that is 3 feet deep is filled to 2/3 of its capacity, it contains 60 gallons of water. If $$7\frac{1}{2}$$ gallons of water occupies 1 cubic foot of space, what is the area, in square feet, of the base of the vat?

A.  4
B.  8
C.  12
D. 150
E. 225

Here is my take ....

The question is asking,what is the area of the base of the vat= a*b (a=length; b=breath)

Let's say total capacity of the vat= x
2x/3= 60 gallon
x= 90 gallon (total capacity)

If 15/2g of water occupies 1 cubic foot of space
then, 90g of water will occupy= 90*2/15 = 12 cubic foot of space in the vat (Total volume)

We can also write:
a*b*c= 12 cubic foot (c=depth; C=3 feet)
a*b*3= 12
a*b= 4 (which is length * breath= area of the base)

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6563
Location: United States (CA)
Re: When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap  [#permalink]

### Show Tags

23 May 2019, 17:15
Bunuel wrote:
When a rectangular vat that is 3 feet deep is filled to 2/3 of its capacity, it contains 60 gallons of water. If $$7\frac{1}{2}$$ gallons of water occupies 1 cubic foot of space, what is the area, in square feet, of the base of the vat?

A.  4
B.  8
C.  12
D. 150
E. 225

PS95602.01
Quantitative Review 2020 NEW QUESTION

Since the vat is 3 feet deep and water is filled to 2/3 of its capacity, the water is ⅔ x 3 = 2 feet deep. In cubic feet, the water is 60/7.5 = 8 cubic feet in volume. Since the water is 2 feet deep, the base of the vat must be 8/2 = 4 square feet.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: When a rectangular vat that is 3 feet deep is filled to 2/3 of its cap   [#permalink] 23 May 2019, 17:15
Display posts from previous: Sort by