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With both inlets open, a water tank will be filled with water in 48 [#permalink]
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31 Oct 2011, 02:07
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With both inlets open, a water tank will be filled with water in 48 minutes. The first inlet alone would fill the tank in 2 hours. What is the capacity of the tank, in cubic meters, if in every minute the second inlet admits 50 cubic meters of water more than the first?
Re: With both inlets open, a water tank will be filled with water in 48 [#permalink]
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31 Oct 2011, 02:58
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aselfmademan wrote:
With both inlets open, a water tank will be filled with water in 48 minutes. The first inlet alone would fill the tank in 2 hours. If in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank ?
With both inlets open, a water tank will be filled with water in 48 minutes. The first inlet alone would fill the tank in 2 hours. If in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank ?
a)10,500 b)12,000 c)9,000 d)11,750 e)13,000
We know that rates are additive. Rate of work of inlet 1 = (1/2) tank/hour = (1/120) tank/min Rate of work of both together = 1/(48/60) = (5/4) tank/hour
Rate of work of inlet 2 alone = 5/4 - 1/2 = 3/4 tank/hour = 1/80 tank/min
We see that rate of work of inlet 2 is higher. 1/80 - 1/120 = 1/240 tank
This (1/240)th of the tank capacity is given as 50 cubic meters. Total tank capacity = 50*240 = 12000 cubic meters
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Re: With both inlets open, a water tank will be filled with water in 48 [#permalink]
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27 Jun 2014, 09:38
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Re: With both inlets open, a water tank will be filled with water in 48 [#permalink]
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11 Jul 2015, 14:57
Hello from the GMAT Club BumpBot!
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Re: With both inlets open, a water tank will be filled with water in 48 [#permalink]
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23 Jul 2015, 12:46
VeritasPrepKarishma wrote:
aselfmademan wrote:
With both inlets open, a water tank will be filled with water in 48 minutes. The first inlet alone would fill the tank in 2 hours. If in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank ?
a)10,500 b)12,000 c)9,000 d)11,750 e)13,000
We know that rates are additive. Rate of work of inlet 1 = (1/2) tank/hour = (1/120) tank/min Rate of work of both together = 1/(48/60) = (5/4) tank/hour
Rate of work of inlet 2 alone = 5/4 - 1/2 = 3/4 tank/hour = 1/80 tank/min
We see that rate of work of inlet 2 is higher. 1/80 - 1/120 = 1/240 tank
This (1/240)th of the tank capacity is given as 50 cubic meters. Total tank capacity = 50*240 = 12000 cubic meters
Hello Madam,
I have a doubt..... is this equation correct :
Assuming C as capacity A as time taken by inlet 1 to fill the tank B as time taken by inlet 2 to fill the tank.
\((\frac{C}{A}+\frac{C}{B})48=C\).........Is this correct ?? We know that inlet 1 takes 2hr or 120 mins to fill the tank
\((\frac{C}{120}+\frac{C}{B})48=C\) Then
\((\frac{1}{120}+\frac{1}{B})48=1\) B=80
I am taking C in the equation for better understanding and because as the rate is not given purely in terms of time taken , as a safer approach I used C.
Also madam as \(\frac{1}{80}-\frac{1}{120}=\frac{1}{240}\)
Can I say 1/240 is the rate difference between the two inlets and (1/240)1 = 50
i.e here 1/240 is the rate, time = 1 and 50 is work done.
With both inlets open, a water tank will be filled with water in 48 minutes. The first inlet alone would fill the tank in 2 hours. If in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank ?
A. 9,000 B. 10,500 C. 11,750 D. 12,000 E. 13,000
The work Done by Inlet A and B together in 1 min = 1/48
The work Done by Inlet A (First Inlet) in 1 min = 1/120
The work Done by Inlet B (Second Inlet) in 1 min = (1/48)- (1/120) = 3/ 240 = 1/80
DIfference of Work done by B and A = B - A = 50 Cubic meter
i.e. (1/80)- (1/120) = 50 Cubic meter i.e. (1/240) of tank = 50 Cubic meter i.e. Tank = 240*50 = 12000 Cubic Meter
Answer: option D
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Assuming C as capacity A as time taken by inlet 1 to fill the tank B as time taken by inlet 2 to fill the tank.
\((\frac{C}{A}+\frac{C}{B})48=C\).........Is this correct ?? We know that inlet 1 takes 2hr or 120 mins to fill the tank
\((\frac{C}{120}+\frac{C}{B})48=C\) Then
\((\frac{1}{120}+\frac{1}{B})48=1\) B=80
Correct.
Quote:
I am taking C in the equation for better understanding and because as the rate is not given purely in terms of time taken , as a safer approach I used C.
Also madam as \(\frac{1}{80}-\frac{1}{120}=\frac{1}{240}\)
This is correct though you should know how you obtained it. 1/80 is the rate and its units are 1/80 of the tank per minute. Since you are using C for capacity, this could also be written as C/80 cubic meters/minute.
So C/80 - C/120 = C/240 cubic meters/minute
Quote:
Can I say 1/240 is the rate difference between the two inlets and (1/240)1 = 50
i.e here 1/240 is the rate, time = 1 and 50 is work done.
Thanks
1/240 of the tank per minute is the rate difference. In capacity terms, C/240 is the rate difference.
Re: With both inlets open, a water tank will be filled with water in 48 [#permalink]
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24 Jul 2015, 11:40
VeritasPrepKarishma wrote:
anurag356 wrote:
Hello Madam,
I have a doubt..... is this equation correct :
Assuming C as capacity A as time taken by inlet 1 to fill the tank B as time taken by inlet 2 to fill the tank.
\((\frac{C}{A}+\frac{C}{B})48=C\).........Is this correct ?? We know that inlet 1 takes 2hr or 120 mins to fill the tank
\((\frac{C}{120}+\frac{C}{B})48=C\) Then
\((\frac{1}{120}+\frac{1}{B})48=1\) B=80
Correct.
Quote:
I am taking C in the equation for better understanding and because as the rate is not given purely in terms of time taken , as a safer approach I used C.
Also madam as \(\frac{1}{80}-\frac{1}{120}=\frac{1}{240}\)
This is correct though you should know how you obtained it. 1/80 is the rate and its units are 1/80 of the tank per minute. Since you are using C for capacity, this could also be written as C/80 cubic meters/minute.
So C/80 - C/120 = C/240 cubic meters/minute
Quote:
Can I say 1/240 is the rate difference between the two inlets and (1/240)1 = 50
i.e here 1/240 is the rate, time = 1 and 50 is work done.
Thanks
1/240 of the tank per minute is the rate difference. In capacity terms, C/240 is the rate difference.
Re: With both inlets open, a water tank will be filled with water in 48 [#permalink]
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13 Jan 2016, 06:27
pipe 2 takes 80 min to fill the tank, pipe 1 - 120 min - which corresponds to +50% produtivity of pipe 2. we are given that this extra productivity denotes 50 cubic meters per min more than pipe 1 pumps. hence this proportion can be possible only if pipe 1 pumps 100 cm and pipe 2 then pumps 150 cm.
Re: With both inlets open, a water tank will be filled with water in 48 [#permalink]
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10 Feb 2017, 10:42
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).
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Re: With both inlets open, a water tank will be filled with water in 48 [#permalink]
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10 Feb 2017, 13:31
aselfmademan wrote:
With both inlets open, a water tank will be filled with water in 48 minutes. The first inlet alone would fill the tank in 2 hours. If in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank ?
A. 9,000 B. 10,500 C. 11,750 D. 12,000 E. 13,000
rate of inlet 1=r rate of inlet 2=r+60*50 meters^3 per hour ratio of inlet 1 to inlet 2 rates=(1/2)/(5/4-1/2)➡(1/2)/(3/4) (1/2)/(3/4)=r/(r+3000) r=6000 meters^3 per hour 2 hr*6000=12,000 meters^3 capacity
Re: With both inlets open, a water tank will be filled with water in 48 [#permalink]
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14 Aug 2017, 15:25
I think the wording could have been better...second one inlet 50 more than what? a dinosaur? or a first pipe?
I lost a ton of minutes just to realize what the question was actually asking...
I started with finding out the rate for second one: 1/48 (1st and 2nd rate together) - 1/120 (rate of first one) = 1/80 (rate of second one) 1/80 - 1/120 = 1/240 (difference between second and first, and we know that at this rate, 50m^3 is pouring into the pool). capacity of the tank is then 50 * 240 = 100*120 = 12,000
73% (02:47) correct
Thankzzz
