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A water tank has
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15 Apr 2021, 02:18
15 Apr 2021, 02:18
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54% (03:00) correct
45% (02:49) wrong based on 22 sessions
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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 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. \(16 cm^3/s\)
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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Re: A water tank has
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16 Apr 2021, 21:15
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
General Discussion
Re: A water tank has
[#permalink]
16 Apr 2021, 00:59
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
