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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

Show Tags

10 Nov 2010, 10:39

4

This post received KUDOS

13

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

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

HideShow timer Statistics

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]

Show Tags

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).

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.
_________________

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]

Show Tags

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.
_________________

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

Show Tags

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.
_________________

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

Show Tags

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.