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# Two pipes can fill a tank in 24 min and 32 min respectively.

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Manager
Joined: 04 Oct 2010
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GMAT 1: 720 Q48 V41
Two pipes can fill a tank in 24 min and 32 min respectively.  [#permalink]

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Updated on: 18 Oct 2010, 20:58
5
11
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Difficulty:

75% (hard)

Question Stats:

63% (02:46) correct 37% (03:03) wrong based on 391 sessions

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Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min ?

A. 4 min
B. 6 min
C. 9 min
D. 8 min
E. 12 min

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To the stronger or faster man;
But sooner or later the man who wins,
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Originally posted by jimmy86 on 18 Oct 2010, 19:34.
Last edited by jimmy86 on 18 Oct 2010, 20:58, edited 1 time in total.
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18 Oct 2010, 21:52
15
5
D)

A worked for 18 mins so amount of work done in 18 mi ns.
1/24(18)=3/4
work left=1-3/4=1/4

complete work is done by B in 32 m ins
so 1/4 work will be done in =1/4*32=8 mins
##### General Discussion
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18 Oct 2010, 20:10
jimmy86 wrote:
Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is fill in 18 min ?

A)4 min
B)6 min
C)9 min
D)8 min
E)12 min

I think question is incomplete as there is no reference for B.
Manager
Joined: 04 Oct 2010
Posts: 60
GMAT 1: 720 Q48 V41

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18 Oct 2010, 20:57
2
1
The answer that i have is this :

Let B be closed after x minutes Then,
part filled by(A+B) in x min + part filled by A in (18-x) min =1

thus x*(1/24+1/32) + (18-x)*1/24 = 1

7x/96+(18-x)/24 =1

7x+4(18-x)=96

x=8

Hence B is 8 min

But is there a simpler way to do this ?????
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But sooner or later the man who wins,
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18 Oct 2010, 21:55
Please state the source of the question.
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18 Oct 2010, 22:14
Pkit wrote:
Please state the source of the question.

Its from a school math book that i am studying for basics. Why?
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18 Oct 2010, 22:26
mrinal2100 wrote:
D)

A worked for 18 mins so amount of work done in 18 mi ns.
1/24(18)=3/4
work left=1-3/4=1/4

complete work is done by B in 32 m ins
so 1/4 work will be done in =1/4*32=8 mins

Agree that A worked for last 18 min
But the 1/4th work left was done by A and B both working together.
Thus they work at a combined rate of 7/96.
Thus time would be 1/4*96/7 = 3.4 approx .
Am still confused
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But sooner or later the man who wins,
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Joined: 02 Sep 2010
Posts: 769
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18 Oct 2010, 22:38
2
3
jimmy86 wrote:
Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min ?

A)4 min
B)6 min
C)9 min
D)8 min
E)12 min

Lets say that you shut down pipe B after x mins. And that pipe A runs for exactly 18mins.

Fraction of tank filled in x mins = (x/24) + (x/32)
The logic being that if a pipe fills a tank in m minutes, running for n minutes (n<m) , it will fill n/m of the tank
The rest of the tank is filled by A alone in 18-x mins
Therefore, (18-x)/24 = 1 - (x/24 + x/32)
3/4 - x/24 = 1 - x/24 - x/32
x/32 = 1/4
x = 8min

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18 Oct 2010, 23:16
1
shrouded1 wrote:
jimmy86 wrote:
Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min ?

A)4 min
B)6 min
C)9 min
D)8 min
E)12 min

Lets say that you shut down pipe B after x mins. And that pipe A runs for exactly 18mins.

Fraction of tank filled in x mins = (x/24) + (x/32)
The logic being that if a pipe fills a tank in m minutes, running for n minutes (n<m) , it will fill n/m of the tank
The rest of the tank is filled by A alone in 18-x mins
Therefore, (18-x)/24 = 1 - (x/24 + x/32)
3/4 - x/24 = 1 - x/24 - x/32
x/32 = 1/4
x = 8min

Yes i get it .Thanks a LOT!!!
Any idea where i can get more practice and theory on RATE Problems?
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Jimmy

Life`s battles dont always go,
To the stronger or faster man;
But sooner or later the man who wins,
Is the man who THINKS HE CAN .

KUDOS me if you feel my contribution has helped you.

Math Expert
Joined: 02 Sep 2009
Posts: 50711

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19 Oct 2010, 12:58
jimmy86 wrote:
shrouded1 wrote:
jimmy86 wrote:
Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min ?

A)4 min
B)6 min
C)9 min
D)8 min
E)12 min

Lets say that you shut down pipe B after x mins. And that pipe A runs for exactly 18mins.

Fraction of tank filled in x mins = (x/24) + (x/32)
The logic being that if a pipe fills a tank in m minutes, running for n minutes (n<m) , it will fill n/m of the tank
The rest of the tank is filled by A alone in 18-x mins
Therefore, (18-x)/24 = 1 - (x/24 + x/32)
3/4 - x/24 = 1 - x/24 - x/32
x/32 = 1/4
x = 8min

Yes i get it .Thanks a LOT!!!
Any idea where i can get more practice and theory on RATE Problems?

Some work problems with solutions:
time-n-work-problem-82718.html?hilit=reciprocal%20rate
facing-problem-with-this-question-91187.html?highlight=rate+reciprocal
what-am-i-doing-wrong-to-bunuel-91124.html?highlight=rate+reciprocal
gmat-prep-ps-93365.html?hilit=reciprocal%20rate
a-good-one-98479.html?hilit=rate
solution-required-100221.html?hilit=work%20rate%20done
work-problem-98599.html?hilit=work%20rate%20done

Also check:
PS work problem: search.php?search_id=tag&tag_id=66
DS work problems: search.php?search_id=tag&tag_id=46

And:
work-and-rate-gmat-questions-word-problems-master-list-79787.html

Hope it helps.
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Posts: 307
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19 Oct 2010, 13:25
1
jimmy86 wrote:
Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min ?

A)4 min
B)6 min
C)9 min
D)8 min
E)12 min

When the job is undefined, we can plug in our own number for the job. Let tank = 96.

Rate for A = w/t = 96/24 = 4/min
Rate for B = w/t = 96/32 = 3/min
Combined rate is 4+3 = 7/min

Now let's plug in the answer choices, which represent how long the tanks work together.

w = r*t = 7*9 = 63.
Remaining work = 96-63 = 33, which is not divisible by A's rate of 4.
Eliminate C.

w = r*t = 7*8 = 56.
Remaining work = 96-56 = 40.
For A alone, t = w/r = 40/4 = 10.
Total time = 8+10 = 18. Success!

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Posts: 47
Re: Two pipes can fill a tank in 24 min and 32 min respectively.  [#permalink]

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20 Feb 2015, 09:54
2
jimmy86 wrote:
Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min ?

A. 4 min
B. 6 min
C. 9 min
D. 8 min
E. 12 min

Pipe A will run for 18 minutes

Sp pipe A will do = 18/24 = 3/4 portion of the work

left work is 1/ 4

Just assume that what will be 1/4 if multiplied with 1/32 (B's rate )

Only 8 will make it 1/4

So after 8 minutes B should be stopped

VP
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Posts: 1118
Re: Two pipes can fill a tank in 24 min and 32 min respectively.  [#permalink]

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20 Nov 2015, 16:34
18/24+(18-x)/32=1
x=10 minutes
18-10=8 minutes
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Re: Two pipes can fill a tank in 24 min and 32 min respectively.  [#permalink]

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19 Feb 2016, 18:43
jimmy86 wrote:
Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min ?

A. 4 min
B. 6 min
C. 9 min
D. 8 min
E. 12 min

good question..this is how I solved..
1 pipe in 8 minutes fills 1/3 of the tank
2 pipe in 8 minutes fills 1/4 of the tank
after 8 minutes, we'll have 7/12 of the tank.
suppose we stop the second pipe.
after another 8 minutes, the tank fills 1/3, or 4/12. total, we have 11/12 of the tank after 16 minutes.

we know that tank 1 fills 4/12 in 8 minutes, then 2/12 in 4 minutes, and 1/12 in 2 minutes.
we can thus see, that we need to stop the second pipe after 8 minutes. then 1 alone in 10 minutes will fill the tank.
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Location: United States
GMAT 1: 700 Q48 V37
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Re: Two pipes can fill a tank in 24 min and 32 min respectively.  [#permalink]

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25 Feb 2016, 16:31
jimmy86 wrote:
Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min ?

A. 4 min
B. 6 min
C. 9 min
D. 8 min
E. 12 min

Time taken by A - 24mins
Rate A - 1/24

Time taken by B - 32mins
Rate B - 1/32

Work time equation

18/24 +(18-X)/32 = 1

Solving X = 10

Thus, B can be closed after (18-x)=8mins
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Re: Two pipes can fill a tank in 24 min and 32 min respectively.  [#permalink]

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05 Mar 2016, 03:47
jimmy86 wrote:
Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min ?

A. 4 min
B. 6 min
C. 9 min
D. 8 min
E. 12 min

Assume total unit = 96
Pipe A does 96/24=4 units
Pipe B does 96/32=3 units
Total effort =7 units
Let required time be x
Work done by (A+B)= 7x
Work done by only A after pipe B is closed = 4(18-x)
Hence, $$7x + 4(18-x)=96$$
x=8
Ans D
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Re: Two pipes can fill a tank in 24 min and 32 min respectively.  [#permalink]

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27 Jul 2018, 18:14
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Re: Two pipes can fill a tank in 24 min and 32 min respectively. &nbs [#permalink] 27 Jul 2018, 18:14
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