NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 18:41 It is currently 24 Apr 2024, 18:41
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A pump can fill a tank with water in 2 hours. Because of a

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
P
jackfr2
Manager
Manager
Joined: 13 Aug 2018
Posts: 59
Own Kudos [?]: 398 [8]
Given Kudos: 523
Send PM
A pump can fill a tank with water in 2 hours. Because of a [#permalink] New post   31 Mar 2019, 02:08
8
Bookmarks
00:00
A
B
C
D
E

Difficulty:

65% (hard)

Question Stats:

55% (01:53) correct 45% (02:26) wrong based on 110 sessions
Hide Show timer Statistics
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2(1/3)
hours to fill the tank. The leak can drain all the water of the tank in ?

a. 7 hours
b. 10 hours
c. 12 hours
d. 14 hours
e. 4(2/3) hours

Posted from my mobile device
ShowHide Answer
Official Answer
D
avatar
B
Zoom96
Intern
Intern
Joined: 18 Oct 2018
Posts: 9
Own Kudos [?]: 6 [2]
Given Kudos: 7
Send PM
Re: A pump can fill a tank with water in 2 hours. Because of a [#permalink] New post   02 Apr 2019, 11:58
2
Kudos
jackfr2 wrote:
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2(1/3)
hours to fill the tank. The leak can drain all the water of the tank in ?

a. 7 hours
b. 10 hours
c. 12 hours
d. 14 hours
e. 4(2/3) hours

Posted from my mobile device


Let the draining rate be x.
It takes \(\frac{7}{3}\) hours to fill the pool with the leak. The hourly rate with the leak is \(\frac{3}{7}\).
The rate without the leak is \(\frac{1}{2}\) --> \(\frac{1}{2} - x = \frac{3}{7}\).
Solving this we get \(x = \frac{1}{14}\) so it would take 14 hours for the leak alone to empty the tank. Answer: D
User avatar
P
gracie
VP
VP
Joined: 07 Dec 2014
Posts: 1072
Own Kudos [?]: 1561 [1]
Given Kudos: 27
Send PM
Re: A pump can fill a tank with water in 2 hours. Because of a [#permalink] New post   02 Apr 2019, 17:58
1
Kudos
jackfr2 wrote:
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2(1/3)
hours to fill the tank. The leak can drain all the water of the tank in ?

a. 7 hours
b. 10 hours
c. 12 hours
d. 14 hours
e. 4(2/3) hours


without leak, pump can fill 1 tank in 2 hours,
and thus could fill 7/6 of tank in 2 1/3 hours
but, with leak, 1/6 of tank instead drains in 2 1/3 hours
6*2 1/3=14 hours to drain entire tank
D
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18756
Own Kudos [?]: 22049 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: A pump can fill a tank with water in 2 hours. Because of a [#permalink] New post   04 Apr 2019, 18:19
Expert Reply
jackfr2 wrote:
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2(1/3)
hours to fill the tank. The leak can drain all the water of the tank in ?

a. 7 hours
b. 10 hours
c. 12 hours
d. 14 hours
e. 4(2/3) hours

Posted from my mobile device


The pump’s rate is 1/2 to fill the tank. We can let x = the number of hours the leak can drain all the water in the tank, and so its rate is 1/x. We can create the equation:

1/2 - 1/x = 1/(7/3)

1/2 - 1/x = 3/7

Multiplying by 14x, we have:

7x - 14 = 6x

x = 14

Answer: D
User avatar
B
SHoylandBPrep
Bloomberg Exam Prep Representative
Joined: 27 Jul 2020
Posts: 61
Own Kudos [?]: 59 [1]
Given Kudos: 1
Send PM
Re: A pump can fill a tank with water in 2 hours. Because of a [#permalink] New post   05 Oct 2020, 08:08
1
Bookmarks
jackfr2 wrote:
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2(1/3)
hours to fill the tank. The leak can drain all the water of the tank in ?

a. 7 hours
b. 10 hours
c. 12 hours
d. 14 hours
e. 4(2/3) hours

Posted from my mobile device


Set up a Rate Table. To make it easier, you can plug in for the size of the tank. Choose a number that is divisible by 2 and by 7/3. A good number is 14.



Now calculate the rate by dividing Work ÷ Time. Then you can find the rate for the Leak by subtracting the first two rates.



Finally, calculate the answer by dividing Work ÷ Rate. The answer is (D) 14 hours.
GMAT Club Bot
gmatclubot
Re: A pump can fill a tank with water in 2 hours. Because of a [#permalink]
05 Oct 2020, 08:08
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions