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A, B, C are three taps connected to a tank such that 6 times [#permalink]

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10 Nov 2010, 10:39

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Difficulty:

95% (hard)

Question Stats:

54% (04:47) correct
46% (03:53) wrong based on 106 sessions

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A, B, C are three taps connected to a tank such that 6 times the time taken by A to fill the tank is 7 times the time taken by B and C together to fill the tank. 3 times the time taken by C to fill the tank is 10 times the time taken by A and B together to fill the tank. If A, B and C together fill the tank in 60/13 hours, then find the time taken by B alone to fill the tank?

A, B, C are three taps connected to a tank such that 6 times the time taken by A to fill the tank is 7 times the time taken by B and C together to fill the tank. 3 times the time taken by C to fill the tank is 10 times the time taken by A and B together to fill the tank. If A, B and C together fill the tank in 60/13 hours, then find the time taken by B alone to fill the tank?

Re: A, B, C are three taps connected to a tank such that 6 times [#permalink]

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21 Oct 2013, 13:15

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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A, B, C are three taps connected to a tank such that 6 times the time taken by A to fill the tank is 7 times the time taken by B and C together to fill the tank. 3 times the time taken by C to fill the tank is 10 times the time taken by A and B together to fill the tank. If A, B and C together fill the tank in 60/13 hours, then find the time taken by B alone to fill the tank?

I have a really stupid question, but I hope you can help me out. Why isn't it 6 (1/A) = 7(1/B + 1/C) leading to a final equation of 6/7 (1/A) = 1/B + 1/C?

A, B, C are three taps connected to a tank such that 6 times the time taken by A to fill the tank is 7 times the time taken by B and C together to fill the tank. 3 times the time taken by C to fill the tank is 10 times the time taken by A and B together to fill the tank. If A, B and C together fill the tank in 60/13 hours, then find the time taken by B alone to fill the tank?

I have a really stupid question, but I hope you can help me out. Why isn't it 6 (1/A) = 7(1/B + 1/C) leading to a final equation of 6/7 (1/A) = 1/B + 1/C?

Thanks in advanced - as always!!

6 times the time taken by A to fill the tank is 7 times the time taken by B and C together to fill the tank:

Time taken by A is a. Time taken by B and C together to fill the tank is reciprocal of combined rate of B and C, thus it's bc/(b+c).

Isn't time taken by A supposed to be (1/a)? And 6 time the time taken by A in 6*(1/a) as per the R*T=W? I don't get how it's possible to say that a is the time taken by A, and then when multiplying, you do the multiplication and only then take the reciprocal.... Can you explain this please?

Isn't time taken by A supposed to be (1/a)? And 6 time the time taken by A in 6*(1/a) as per the R*T=W? I don't get how it's possible to say that a is the time taken by A, and then when multiplying, you do the multiplication and only then take the reciprocal.... Can you explain this please?

a is the time taken by A, because I denoted it that way.
_________________

Isn't time taken by A supposed to be (1/a)? And 6 time the time taken by A in 6*(1/a) as per the R*T=W? I don't get how it's possible to say that a is the time taken by A, and then when multiplying, you do the multiplication and only then take the reciprocal.... Can you explain this please?

a is the time taken by A, because I denoted it that way.

If so, then why did you take the reciprocal of it for the equations? Why not leave them with a,b, and c? I am missing something, but I can't tell what....

Isn't time taken by A supposed to be (1/a)? And 6 time the time taken by A in 6*(1/a) as per the R*T=W? I don't get how it's possible to say that a is the time taken by A, and then when multiplying, you do the multiplication and only then take the reciprocal.... Can you explain this please?

a is the time taken by A, because I denoted it that way.

If so, then why did you take the reciprocal of it for the equations? Why not leave them with a,b, and c? I am missing something, but I can't tell what....

(time)*(rate)=)(job done), thus time to complete one job = reciprocal of rate. For example if 6 hours (time) are needed to complete one job --> 1/6 of the job will be done in 1 hour (rate).
_________________

Re: A, B, C are three taps connected to a tank such that 6 times [#permalink]

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13 Dec 2015, 12:42

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: A, B, C are three taps connected to a tank such that 6 times [#permalink]

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23 Dec 2016, 23:47

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: A, B, C are three taps connected to a tank such that 6 times [#permalink]

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24 Dec 2016, 04:41

Bunuel wrote:

cleetus wrote:

A, B, C are three taps connected to a tank such that 6 times the time taken by A to fill the tank is 7 times the time taken by B and C together to fill the tank. 3 times the time taken by C to fill the tank is 10 times the time taken by A and B together to fill the tank. If A, B and C together fill the tank in 60/13 hours, then find the time taken by B alone to fill the tank?

Hi Bunuel, how good one should be to finish this problem in 2 min? Because I spent 1:30 to set up all the equations, and even if the solving part is not that complicated it is not even that quick.

gmatclubot

Re: A, B, C are three taps connected to a tank such that 6 times
[#permalink]
24 Dec 2016, 04:41

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