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A water tank has

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Carcass
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A water tank has [#permalink] New post   15 Apr 2021, 02:18
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A water tank has 6m3 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 their 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. 16cm3/s

B. 10cm3/s

C. 12cm3/s

D. 14cm3/s

E. 9.5cm3/s

F. 9cm3/s


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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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KarunMendiratta
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Re: A water tank has [#permalink] New post   16 Apr 2021, 21:15
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Carcass wrote:
A water tank has 6m3 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. 16cm3/s

B. 10cm3/s

C. 12cm3/s

D. 14cm3/s

E. 9.5cm3/s

F. 9cm3/s


Carcass
Beautiful question :thumbsup:
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 13(6)m3 in 2 days or more than 2m3 of water in 2 days

Let us calculate the rate;

Work = 2(106)cm3
Time = (2)(24)(3600)sec

Rate = 2(106)(2)(24)(3600)=11.57cm3/sec

This means we require a rate which is greater than 11.57cm3/sec
Hence, option A, C, and D
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sumiswarti
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Re: A water tank has [#permalink] New post   16 Apr 2021, 00:59
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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
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Re: A water tank has [#permalink] New post   17 Apr 2021, 00:39
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KarunMendiratta wrote:
Carcass wrote:
A water tank has 6m3 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. 16cm3/s

B. 10cm3/s

C. 12cm3/s

D. 14cm3/s

E. 9.5cm3/s

F. 9cm3/s


Carcass
Beautiful question :thumbsup:
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 13(6)m3 in 2 days or more than 2m3 of water in 2 days

Let us calculate the rate;

Work = 2(106)cm3
Time = (2)(24)(3600)sec

Rate = 2(106)(2)(24)(3600)=11.57cm3/sec

This means we require a rate which is greater than 11.57cm3/sec
Hence, option A, C, and D



Thank you Sir :please:

Best Reply to you also
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Re: A water tank has [#permalink] New post   24 Jul 2022, 10:26
KarunMendiratta wrote:
Carcass wrote:
A water tank has 6m3 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. 16cm3/s

B. 10cm3/s

C. 12cm3/s

D. 14cm3/s

E. 9.5cm3/s

F. 9cm3/s


Carcass
Beautiful question :thumbsup:
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 13(6)m3 in 2 days or more than 2m3 of water in 2 days

Let us calculate the rate;

Work = 2(106)cm3
Time = (2)(24)(3600)sec

Rate = 2(106)(2)(24)(3600)=11.57cm3/sec

This means we require a rate which is greater than 11.57cm3/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?
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Re: A water tank has [#permalink] New post   24 Jul 2022, 11:00
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I was wondering as well :?
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Re: A water tank has [#permalink] New post   18 Aug 2022, 00:50
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ademeutia wrote:
KarunMendiratta wrote:
Carcass wrote:
A water tank has 6m3 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. 16cm3/s

B. 10cm3/s

C. 12cm3/s

D. 14cm3/s

E. 9.5cm3/s

F. 9cm3/s


Carcass
Beautiful question :thumbsup:
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 13(6)m3 in 2 days or more than 2m3 of water in 2 days

Let us calculate the rate;

Work = 2(106)cm3
Time = (2)(24)(3600)sec

Rate = 2(106)(2)(24)(3600)=11.57cm3/sec

This means we require a rate which is greater than 11.57cm3/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?


ademeutia
Carcass

Because I have calculated total number of seconds in 2 days
i.e. 2 x 24 hours = 2 x 24 x 3600 sec
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Re: A water tank has [#permalink] New post   18 Aug 2022, 03:44
why?
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Re: A water tank has [#permalink] New post   18 Aug 2022, 03:47
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ChirLois16 wrote:
why?


Please read the question carefully ..
If the tap is allowed to supply water at a constant rate of flow for two days
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Re: A water tank has [#permalink] New post   18 Aug 2022, 03:50
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Thank you for clarifying Sir
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Re: A water tank has [#permalink] New post   15 Dec 2024, 08:47
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Re: A water tank has [#permalink]
15 Dec 2024, 08:47
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