It is currently 25 Feb 2018, 11:56

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

A certain liquid leaks out of a container at the rate of k liters for

Author Message
TAGS:

Hide Tags

Manager
Joined: 17 Aug 2009
Posts: 225
A certain liquid leaks out of a container at the rate of k liters for [#permalink]

Show Tags

14 Jan 2010, 06:01
1
KUDOS
4
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

83% (00:50) correct 17% (00:50) wrong based on 249 sessions

A certain liquid leaks out of a container at the rate of k liters for every x hours. If the liquid costs $6 per liter, what is the cost, in dollars, of the amount of the liquid that will leak out in y hours? A) $$\frac {ky}{6x}$$ B) $$\frac {6x}{ky}$$ C) $$\frac {6k}{xy}$$ D) $$\frac {6ky}{x}$$ E) $$\frac {6xy}{k}$$ [Reveal] Spoiler: OA Manager Joined: 06 Jan 2010 Posts: 70 Re: A certain liquid leaks out of a container at the rate of k liters for [#permalink] Show Tags 14 Jan 2010, 06:27 lts lost per hour = k/x lts lost in y hours = k*y/x total cost = 6ky/x hence D Manager Joined: 17 Aug 2009 Posts: 225 Re: A certain liquid leaks out of a container at the rate of k liters for [#permalink] Show Tags 14 Jan 2010, 11:33 1 This post received KUDOS 1 This post was BOOKMARKED The way I see it If it loses k liters in x hours, then in 1 hour it loses k/x. Therefore, in y hours it would lose (k/x) * y Therefore total cost = 6ky/x D is the answer Intern Joined: 17 May 2014 Posts: 5 Location: United Kingdom Concentration: General Management, Finance GMAT 1: 470 Q28 V27 GPA: 3.4 WE: Accounting (Retail) Re: A certain liquid leaks out of a container at the rate of k liters for [#permalink] Show Tags 17 Dec 2014, 04:52 1 This post received KUDOS zaarathelab wrote: A certain liquid leaks out of a container at the rate of k liters for every x hours. If the liquid costs$6 per liter, what is the cost, in dollars, of the amount of the liquid that will
leak out in y hours?

A) $$\frac {ky}{6x}$$

B) $$\frac {6x}{ky}$$

c) $$\frac {6k}{xy}$$

d) $$\frac {6ky}{x}$$

e) $$\frac {6xy}{k}$$

With this problem solving question it would be easier to plug in numbers.

Let's say that:
K=5
X=1
6=6
Y=10

So the liquid leaks out at a rate of 5l per hour, every litre cost 6$and every hour costs 30$.
If Y= 10 the cost of the liquid per hour (30$) multiplied by Y(10) equals 300. Our target is 300. Plug in the numbers in the answer choices and the answer that yelds 300 will be the right one. A $$\frac {ky}{6x}$$ = 5(10)/6= 8.333333 B $$\frac {6x}{ky}$$ = 6/5(10)= 0.12 C $$\frac {6k}{xy}$$ = 6(5)/10 = 3 D $$\frac {6ky}{x}$$ = 6(5)(10)/1 = 300 CORRECT (we could stop at D but if you have time go ahead) E $$\frac {6xy}{k}$$ = 60/5 = 12 Manager Joined: 23 May 2013 Posts: 189 Location: United States Concentration: Technology, Healthcare Schools: Stanford '19 (M) GMAT 1: 760 Q49 V45 GPA: 3.5 A certain liquid leaks out of a container at the rate of k liters for [#permalink] Show Tags 31 Dec 2014, 06:48 2 This post received KUDOS For these questions, start with the only value that is NOT a ratio and start canceling units. In this case, that's 'y' hours. $$y \ hours * \frac{ k \ liters }{x hours} *\frac{6}{liter} = \frac{6yk}{x}.$$ Answer: D Intern Joined: 28 Oct 2015 Posts: 22 Re: A certain liquid leaks out of a container at the rate of k liters for [#permalink] Show Tags 16 Jan 2016, 05:51 Let's say: K=2 X=3 Y=5 leaking every an hour will be 6*2/3 , and after Y hours: (6*2)*5/3. Plugging in our variables we have (K*6*Y)/X. So answer choice is D. Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 2192 Location: United States (CA) Re: A certain liquid leaks out of a container at the rate of k liters for [#permalink] Show Tags 31 Oct 2017, 15:39 zaarathelab wrote: A certain liquid leaks out of a container at the rate of k liters for every x hours. If the liquid costs$6 per liter, what is the cost, in dollars, of the amount of the liquid that will leak out in y hours?

A) $$\frac {ky}{6x}$$

B) $$\frac {6x}{ky}$$

C) $$\frac {6k}{xy}$$

D) $$\frac {6ky}{x}$$

E) $$\frac {6xy}{k}$$

The leak rate is k/x; thus, in y hours, ky/x liters will leak out, which will cost (6)(ky/x) = 6ky/x dollars.

_________________

Scott Woodbury-Stewart
Founder and CEO

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

Manager
Joined: 07 Jun 2017
Posts: 176
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
Re: A certain liquid leaks out of a container at the rate of k liters for [#permalink]

Show Tags

02 Nov 2017, 19:53

lost per hour = k/x
lost in y hours = k*y/x
total cost = 6ky/x
_________________

Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post

Re: A certain liquid leaks out of a container at the rate of k liters for   [#permalink] 02 Nov 2017, 19:53
Display posts from previous: Sort by