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A, B, C are three taps connected to a tank such that 6 times [#permalink]
10 Nov 2010, 09:39
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Difficulty:
95% (hard)
Question Stats:
49% (04:26) correct
51% (03:28) wrong based on 77 sessions
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: Time and Work #2 [#permalink]
10 Nov 2010, 10:23
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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?
Re: A, B, C are three taps connected to a tank such that 6 times [#permalink]
21 Oct 2013, 12:15
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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Re: Time and Work #2 [#permalink]
23 Oct 2013, 04:35
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?
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?
Re: Time and Work #2 [#permalink]
23 Oct 2013, 05:45
1
This post received KUDOS
Expert's post
pauc wrote:
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?
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....
Re: Time and Work #2 [#permalink]
13 Nov 2013, 01:10
Expert's post
ronr34 wrote:
Bunuel wrote:
ronr34 wrote:
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]
13 Dec 2015, 11:42
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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