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Tap A can fill a tank in 36 minutes, Tap B can fill the same [#permalink]

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27 Sep 2012, 10:21

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Tap A can fill a tank in 36 minutes, Tap B can fill the same tank in 48 minutes. If they are opened simultaneously, at what time tap B (keep tap A running) can be stopped so that the tank can be filled completely filled in 27 minutes.

This question was asked by one of the tutor who was giving presentation on a local GMAT prep course.I cannot remember the options exactly, but all options were integers. I guess b/w (12-40).If the question sounds awkward or has other flaws please feel free to provide inputs/correct it.I am looking for its solution and similar rate problems in which 2 entities work together for some portion and then one of 'em leaves.

WE: Information Technology (Internet and New Media)

Re: Tap A can fill a tank in 36 minutes, Tap B can fill the same [#permalink]

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27 Sep 2012, 10:25

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Tap A can fill a tank in 36 minutes which means that 1/36th of the tank will be filled up in a minute Tap B can fill a tank in 48minutes which means that 1/48th of the tank will be filled up in a minute

and Given that A is open for 27 min --> 27/36 or 3/4 of the tank will be filled and B has to fill the remaing 1/4th of the tank.

B will fill the enitre tank in 48 mins and for it to fill 1/4 th of the tank it will take (48/4)12 mins.
_________________

Re: Tap A can fill a tank in 36 minutes, Tap B can fill the same [#permalink]

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27 Sep 2012, 16:28

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conty911 wrote:

Tap A can fill a tank in 36 minutes, Tap B can fill the same tank in 48 minutes. If they are opened simultaneously, at what time tap B (keep tap A running) can be stopped so that the tank can be filled completely filled in 27 minutes.

This question was asked by one of the tutor who was giving presentation on a local GMAT prep course.I cannot remember the options exactly, but all options were integers. I guess b/w (12-40).If the question sounds awkward or has other flaws please feel free to provide inputs/correct it.I am looking for its solution and similar rate problems in which 2 entities work together for some portion and then one of 'em leaves.

You can also use two equations provided: (1/36 + 1/48)t1 + (1/36)t2 =1 t1 + t2 = 27 -> t2 = 27 - t1

Re: Tap A can fill a tank in 36 minutes, Tap B can fill the same [#permalink]

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14 Nov 2012, 04:42

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Rate of B x time + Rate of A x 27 minutes = 1 (combined output of Tap A and B) \(\frac{1}{48} t + \frac{27}{36}= 1\) \(\frac{1}{48} t = 1 - \frac{3}{4}\) \(\frac{1}{48} t = \frac{1}{4}\)

Re: Tap A can fill a tank in 36 minutes, Tap B can fill the same [#permalink]

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02 Nov 2012, 03:10

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conty911 wrote:

Tap A can fill a tank in 36 minutes, Tap B can fill the same tank in 48 minutes. If they are opened simultaneously, at what time tap B (keep tap A running) can be stopped so that the tank can be filled completely filled in 27 minutes.

I would approach this question in some other way, since it says that the taps are opened simultaneously, and the question asks what time tap B can be stopped at interval "after both taps have been opened for some time" so that the entire tank can be filled in 27 minutes (not running tap A for addition 27 minutes).

1. find the combined rate of two taps (since they are opened simultaneously): work/time>>> (1/36+1/48) = 6/144, meaning that combined rate is 144/6 = 24 minutes (both taps can fill up the tank in 24 minutes if with no pause on either tap).

2. let T be the time that tap B can be stopped. we can form the work formula letting a+b run together for T + tap A alone continues running for 27-T (since total time is 27 minutes) = 1 (filling up the tank)

the equation looks like this : (1/24)T + (1/36)(27-T) = 1 >>> 3T/72 +(54-2T)/72 = 1 solve this equation you will get T = 18 minutes, the time that tap B can be stopped so that tank can be filled in 27 minutes, which is the answer.

in this case, tap A alone will continue running for 9 minutes to fill up the tank.

Re: Tap A can fill a tank in 36 minutes, Tap B can fill the same [#permalink]

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21 Nov 2016, 05:55

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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Tap A can fill a tank in 36 minutes, Tap B can fill the same [#permalink]

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27 Sep 2012, 10:35

abhishekkpv wrote:

Tap A can fill a tank in 36 minutes which means that 1/36th of the tank will be filled up in a minute Tap B can fill a tank in 48minutes which means that 1/48th of the tank will be filled up in a minute

and Given that A is open for 27 min --> 27/36 or 3/4 of the tank will be filled and B has to fill the remaing 1/4th of the tank.

B will fill the enitre tank in 48 mins and for it to fill 1/4 th of the tank it will take (48/4)12 mins.

Thanks that helps kudos to you .
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Whatever one does in life is a repetition of what one has done several times in one's life! If my post was worth it, then i deserve kudos

Re: Tap A can fill a tank in 36 minutes, Tap B can fill the same [#permalink]

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25 Oct 2012, 18:59

abhishekkpv wrote:

Tap A can fill a tank in 36 minutes which means that 1/36th of the tank will be filled up in a minute Tap B can fill a tank in 48minutes which means that 1/48th of the tank will be filled up in a minute

and Given that A is open for 27 min --> 27/36 or 3/4 of the tank will be filled and B has to fill the remaing 1/4th of the tank.

B will fill the enitre tank in 48 mins and for it to fill 1/4 th of the tank it will take (48/4)12 mins.

Re: Tap A can fill a tank in 36 minutes, Tap B can fill the same [#permalink]

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27 Jun 2014, 07:53

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Tap A can fill a tank in 36 minutes, Tap B can fill the same [#permalink]

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11 Jul 2015, 14:37

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: Tap A can fill a tank in 36 minutes, Tap B can fill the same [#permalink]

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21 Nov 2016, 09:02

conty911 wrote:

Tap A can fill a tank in 36 minutes, Tap B can fill the same tank in 48 minutes. If they are opened simultaneously, at what time tap B (keep tap A running) can be stopped so that the tank can be filled completely filled in 27 minutes.

Let the volume be = 144

Efficiency of A = 4 Efficiency of B = 3 Combinedd efficiency of A & B = 7

7*( 27 - t ) + 4t = 144

189 -7t + 4t = 144

Or, 3t = 45

So, t = 15

Thus tap B must be stopped after 12 ( ie, 27 - 15) minutes _________________

Thanks and Regards

Abhishek....

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