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A water tank has
[#permalink]
15 Apr 2021, 02:18

Expert Reply

4

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Question Stats:

A water tank has \(6 m^3\) of water. The tank has one outlet drawing water at a different rate based on the user's need. If the tap is allowed to supply water at a constant rate of flow for two days, identify ther rates that would reduce the water by more than a third of the initial capacity within that period of time

Select all that apply

A. \(16 cm^3/s\)

B. \(10 cm^3/s\)

C. \(12 cm^3/s\)

D. \(14 cm^3/s\)

E. \(9.5 cm^3/s\)

F. \(9 cm^3/s\)

Kudos for the right answer and explanation

Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION

GRE - Math Book

Select all that apply

A. \(16 cm^3/s\)

B. \(10 cm^3/s\)

C. \(12 cm^3/s\)

D. \(14 cm^3/s\)

E. \(9.5 cm^3/s\)

F. \(9 cm^3/s\)

Kudos for the right answer and explanation

Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION

GRE - Math Book

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Affiliations: **Prepster Education**

Posts: **1479**

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WE:**Education (Education)**

Re: A water tank has
[#permalink]
16 Apr 2021, 21:15

1

Carcass wrote:

A water tank has \(6 m^3\) of water. The tank has one outlet drawing water at a different rate based on the user's need. If the tap is allowed to supply water at a constant rate of flow for two days, identify ther rates that would reduce the water by more than a third of the initial capacity within that period of time

Select all that apply

A. \(16 cm^3/s\)

B. \(10 cm^3/s\)

C. \(12 cm^3/s\)

D. \(14 cm^3/s\)

E. \(9.5 cm^3/s\)

F. \(9 cm^3/s\)

Select all that apply

A. \(16 cm^3/s\)

B. \(10 cm^3/s\)

C. \(12 cm^3/s\)

D. \(14 cm^3/s\)

E. \(9.5 cm^3/s\)

F. \(9 cm^3/s\)

Carcass

Beautiful question

This question has a sole purpose to waste our time on the test!

reduce the water by more than a third of the initial capacity within that period of time

i.e. more than \(\frac{1}{3}(6) m^3\) in \(2\) days or more than \(2 m^3\) of water in \(2\) days

Let us calculate the rate;

Work = \(2(10^6)cm^3\)

Time = \((2)(24)(3600)sec\)

Rate = \(\frac{2(10^6)}{(2)(24)(3600)} = 11.57cm^3/sec\)

This means we require a rate which is greater than \(11.57cm^3/sec\)

Hence, option A, C, and D

_________________

I hope this helps!

Regards:

Karun Mendiratta

Founder and Quant Trainer

Prepster Education, Delhi, India

https://www.instagram.com/prepster_education/

Regards:

Karun Mendiratta

Founder and Quant Trainer

Prepster Education, Delhi, India

https://www.instagram.com/prepster_education/

Re: A water tank has
[#permalink]
16 Apr 2021, 00:59

1

6m cube can be converted to cm cube, that would be 6x100x100x100 cm^3 = 60,00,000 cm^3

the question says "choose the rates at which the tank would be emptied 1/3rd of the initial capacity which means we need to select rates at which the the water would be emptied more than 60,00,000/2 = 20,00,000 cm^3

in 2 days there are 172800 seconds, and if the outlets empty the water at a constant rate

a) would empty 172800x16= 27,64,800 cm^3 of the tank

b) would empty 172800x10 = 172800 cm^3 of the tank ( this way you can rule out 9 and 9.5 from the option)

c)would empty 172800x12 = 20,73,600 of the tank ( d can be included in the option since outlet c having lesser rate than d empties more than 1/3rd of the tank)

There's absolutely no need to solve each and every bit. you need to eliminate the options based on minimal common sense. this would save a lot of time on the main exam .

Regards,

sumi

the question says "choose the rates at which the tank would be emptied 1/3rd of the initial capacity which means we need to select rates at which the the water would be emptied more than 60,00,000/2 = 20,00,000 cm^3

in 2 days there are 172800 seconds, and if the outlets empty the water at a constant rate

a) would empty 172800x16= 27,64,800 cm^3 of the tank

b) would empty 172800x10 = 172800 cm^3 of the tank ( this way you can rule out 9 and 9.5 from the option)

c)would empty 172800x12 = 20,73,600 of the tank ( d can be included in the option since outlet c having lesser rate than d empties more than 1/3rd of the tank)

There's absolutely no need to solve each and every bit. you need to eliminate the options based on minimal common sense. this would save a lot of time on the main exam .

Regards,

sumi

Re: A water tank has
[#permalink]
17 Apr 2021, 00:39

Expert Reply

KarunMendiratta wrote:

Carcass wrote:

A water tank has \(6 m^3\) of water. The tank has one outlet drawing water at a different rate based on the user's need. If the tap is allowed to supply water at a constant rate of flow for two days, identify ther rates that would reduce the water by more than a third of the initial capacity within that period of time

Select all that apply

A. \(16 cm^3/s\)

B. \(10 cm^3/s\)

C. \(12 cm^3/s\)

D. \(14 cm^3/s\)

E. \(9.5 cm^3/s\)

F. \(9 cm^3/s\)

Select all that apply

A. \(16 cm^3/s\)

B. \(10 cm^3/s\)

C. \(12 cm^3/s\)

D. \(14 cm^3/s\)

E. \(9.5 cm^3/s\)

F. \(9 cm^3/s\)

Carcass

Beautiful question

This question has a sole purpose to waste our time on the test!

reduce the water by more than a third of the initial capacity within that period of time

i.e. more than \(\frac{1}{3}(6) m^3\) in \(2\) days or more than \(2 m^3\) of water in \(2\) days

Let us calculate the rate;

Work = \(2(10^6)cm^3\)

Time = \((2)(24)(3600)sec\)

Rate = \(\frac{2(10^6)}{(2)(24)(3600)} = 11.57cm^3/sec\)

This means we require a rate which is greater than \(11.57cm^3/sec\)

Hence, option A, C, and D

Thank you Sir

Best Reply to you also

Re: A water tank has
[#permalink]
24 Jul 2022, 10:26

KarunMendiratta wrote:

Carcass wrote:

A water tank has \(6 m^3\) of water. The tank has one outlet drawing water at a different rate based on the user's need. If the tap is allowed to supply water at a constant rate of flow for two days, identify ther rates that would reduce the water by more than a third of the initial capacity within that period of time

Select all that apply

A. \(16 cm^3/s\)

B. \(10 cm^3/s\)

C. \(12 cm^3/s\)

D. \(14 cm^3/s\)

E. \(9.5 cm^3/s\)

F. \(9 cm^3/s\)

Select all that apply

A. \(16 cm^3/s\)

B. \(10 cm^3/s\)

C. \(12 cm^3/s\)

D. \(14 cm^3/s\)

E. \(9.5 cm^3/s\)

F. \(9 cm^3/s\)

Carcass

Beautiful question

This question has a sole purpose to waste our time on the test!

reduce the water by more than a third of the initial capacity within that period of time

i.e. more than \(\frac{1}{3}(6) m^3\) in \(2\) days or more than \(2 m^3\) of water in \(2\) days

Let us calculate the rate;

Work = \(2(10^6)cm^3\)

Time = \((2)(24)(3600)sec\)

Rate = \(\frac{2(10^6)}{(2)(24)(3600)} = 11.57cm^3/sec\)

This means we require a rate which is greater than \(11.57cm^3/sec\)

Hence, option A, C, and D

Why do you multiply by 3600 in (2)(24)(3600)sec? isn't a day has 86400 seconds?

gmatclubot

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