GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 24 Jan 2020, 21:15

### 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

# In a certain task, a person has to fill an empty tank using four taps

Author Message
TAGS:

### Hide Tags

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3222
In a certain task, a person has to fill an empty tank using four taps  [#permalink]

### Show Tags

13 Feb 2019, 06:15
00:00

Difficulty:

65% (hard)

Question Stats:

57% (01:59) correct 43% (02:20) wrong based on 82 sessions

### HideShow timer Statistics

In a certain task, a person has to fill an empty tank using four taps, each of which can fill the entire empty tank in 1 hour, and once the tank is filled completely, he needs to empty the tank using two outlets, at the bottom of the tank. Both the outlets can empty the full tank in same time. How much time does an outlet take to empty a full tank, if the total time taken by the person to finish the task is 30 minutes?

A. 1/4 hour
B. 1/3 hour
C. 1/2 hour
D. 3/4 hour
E. 1 hour

To read all our articles: Must Read Articles and Practice Questions to score Q51

_________________
Manager
Joined: 18 Oct 2018
Posts: 90
Location: India
GMAT 1: 710 Q50 V36
GPA: 4
Re: In a certain task, a person has to fill an empty tank using four taps  [#permalink]

### Show Tags

13 Feb 2019, 06:22
Time taken by 1 tap to fill tank= 1 hour.
So,time taken to fill the tank when all 4 taps are open= 1/4 hours= 15 minutes.

Since total time taken by the person=30 minutes,
This means that the tank is emptied in 30-15 minutes= 15 minutes.

Now,since 2 taps have equal work rate to empty the tank,this means that the 2 taps took 15 minutes,
Thus,one tap took 30 minutes to empty the tank= 1/2 hours.

Hence,C

Posted from my mobile device
Senior Manager
Joined: 13 Jan 2018
Posts: 341
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
Re: In a certain task, a person has to fill an empty tank using four taps  [#permalink]

### Show Tags

13 Feb 2019, 22:14
1
1 tap can fill a tank in 1 hour, then 4 taps can fille the tank in $$\frac{1}{4}$$ hour

i.e, 4 taps fill the tank in 15 minutes. Now the entire task of filling the tank and emptying the tank is completed in 30 minutes. So in 30 minutes, the first 15 minutes were to fill the tank and the rest 15 minutes were to empty the tank.

So 2 taps took 15 minutes to empty the tank, then each tap takes 30 minutes to empty the tank.

30 minutes = $$\frac{1}{2}$$ hour

OPTION: C
Intern
Joined: 12 Feb 2019
Posts: 5
WE: Business Development (Entertainment and Sports)
Re: In a certain task, a person has to fill an empty tank using four taps  [#permalink]

### Show Tags

13 Feb 2019, 22:26
Option: C
time taken for filling => 60 mins/4 = 15 mins (since all taps fill at equal rate)
Total activity time (time to fill + time to empty tank) = 30 mins
therefore, Time taken to empty tank by 2 outlets = 30 - 15 = 15 mins
Since outlets empty at equal rate, time needed by each outlet to empty tank = 15x2 = 30 mins
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3222
Re: In a certain task, a person has to fill an empty tank using four taps  [#permalink]

### Show Tags

14 Feb 2019, 22:40

Solution

Given:
In this question, we are given
• In a certain task, a person has to fill an empty tank using four taps, each of which can fill the entire empty tank in 1 hour.
• Once the tank is filled completely, he needs to empty the tank using two outlets, at the bottom of the tank.
• Both the outlets can empty the full tank in same time.
• The total time taken by the person to finish the task is 30 minutes.

To find:
We need to determine
• The amount of time does an outlet tap take to empty a full tank.

Approach and Working:
As each inlet tap can fill the tank in 1 hour, while 4 taps are working together, the tap will be filled in $$\frac{1}{4}$$ hour = 15 minutes
• Hence, in (30 – 15) = 15 minutes the two outlet taps can empty the tank.
• As both outlet taps can empty the tank at the same time, each of them individually can empty the tank in 15 x 2 = 30 minutes or $$\frac{1}{2}$$ hour.

Hence the correct answer is Option C.

_________________
Re: In a certain task, a person has to fill an empty tank using four taps   [#permalink] 14 Feb 2019, 22:40
Display posts from previous: Sort by