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# With both inlets open, a water tank will be filled with water in 48

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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?

A. 9,000
B. 10,500
C. 11,750
D. 12,000
E. 13,000
[Reveal] Spoiler: OA

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Last edited by Bunuel on 05 Oct 2017, 07:45, edited 2 times in total.
Renamed the topic and edited the question.

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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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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

Both inlets fill the tank in 48 mins

Inlet one can fill the tank in 2 hrs = 120 mins

inlet two can fill the tank in x mins

1/120 + 1/ x = 1/48
1/x = 1/48 - 1/120 = (5-2)/240 = 3/240 = 1/80

Inlet two can fill the tank in 80 mins

If both inlets opened for 120 mins then
Inlet one will fill full tank capacity
Inlet two will fill 1.5 times capacity of the tank. ---(1)

In every minute inlet two adds 50 cubic meters more than inlet one
In 120 mins inlet two adds 50*120 = 6000 cubic meters more than inlet one.---(2)

From (1) and (2)

Half the capacity of tank is 6000 cubic meters

The capacity of the tank is 12000 cubic meters

Ans d
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Re: With both inlets open, a water tank will be filled with water in 48 [#permalink]

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31 Oct 2011, 03:24
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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. 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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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Kudos [?]: 17408 [11], given: 232 Intern Joined: 27 Sep 2011 Posts: 16 Kudos [?]: 59 [0], given: 9 Re: With both inlets open, a water tank will be filled with water in 48 [#permalink] ### Show Tags 31 Oct 2011, 03:27 Thankzzz gopu106 VeritasPrepKarishma....... 2 kudos given to both of you _________________ All I want to be A Self-made Man Kudos [?]: 59 [0], given: 9 GMAT Club Legend Joined: 09 Sep 2013 Posts: 16539 Kudos [?]: 274 [0], given: 0 Re: With both inlets open, a water tank will be filled with water in 48 [#permalink] ### Show Tags 27 Jun 2014, 09:38 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. _________________ Kudos [?]: 274 [0], given: 0 GMAT Club Legend Joined: 09 Sep 2013 Posts: 16539 Kudos [?]: 274 [0], given: 0 Re: With both inlets open, a water tank will be filled with water in 48 [#permalink] ### Show Tags 11 Jul 2015, 14:57 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. _________________ Kudos [?]: 274 [0], given: 0 Intern Joined: 06 Nov 2014 Posts: 33 Kudos [?]: 9 [0], given: 269 Re: With both inlets open, a water tank will be filled with water in 48 [#permalink] ### Show Tags 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. Thanks Kudos [?]: 9 [0], given: 269 SVP Joined: 08 Jul 2010 Posts: 1836 Kudos [?]: 2288 [4], given: 51 Location: India GMAT: INSIGHT WE: Education (Education) Re: With both inlets open, a water tank will be filled with water in 48 [#permalink] ### Show Tags 23 Jul 2015, 23:27 4 This post received KUDOS Expert's post 2 This post was BOOKMARKED 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 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 _________________ Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html 22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION Kudos [?]: 2288 [4], given: 51 Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7677 Kudos [?]: 17408 [2], given: 232 Location: Pune, India Re: With both inlets open, a water tank will be filled with water in 48 [#permalink] ### Show Tags 24 Jul 2015, 02:11 2 This post received KUDOS Expert's post 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. (C/240) cubic meters/minute * 1 minute = 50 cubic meters C = 240*50 = 12000 cubic meters _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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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:

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.

(C/240) cubic meters/minute * 1 minute = 50 cubic meters

C = 240*50 = 12000 cubic meters

Thank you very much. As you pointed out C should have been used throughout .

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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.

(100 + 150) * 48 = 12 000
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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, 10:42
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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
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

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Re: With both inlets open, a water tank will be filled with water in 48 [#permalink]

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24 Feb 2017, 10:16
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First fills in 120 minutes

Together in 48 minutes, then second one fills in 80 minutes. ( 1/120 + 1/second one= 1/48 )

Let first fills x cubic meter per second then second fills (x+50) cubic meter per second

Tank capacity for first = Tank capacity for second
120 * x = 80 * (x + 50)

Solve x =100, i.e first fills at 100 and second at 150 cubic meter per minute

So tank capacity = 120 * 100 or 80*150 = 12,000

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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

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Re: With both inlets open, a water tank will be filled with water in 48   [#permalink] 14 Aug 2017, 15:25
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