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An empty swimming pool is being filled by a hose that runs at 3 cubic

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V
Joined: 22 Jun 2014
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Concentration: General Management, Technology
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An empty swimming pool is being filled by a hose that runs at 3 cubic  [#permalink]

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New post 10 Mar 2017, 23:44
1
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

54% (00:58) correct 46% (01:35) wrong based on 49 sessions

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An empty swimming pool is being filled by a hose that runs at 3 cubic feet per minute for 60 minutes. The square swimming pool is 12 feet wide. How deep is the water in the pool?

A) 25 inches

B) 1 ft. 2.5 inches

C) 1 ft. 3 inches

D) 1 ft. 4 inches

E) 2 ft. 5 inches

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New post 10 Mar 2017, 23:53
HKD1710 wrote:
An empty swimming pool is being filled by a hose that runs at 3 cubic feet per minute for 60 minutes. The square swimming pool is 12 feet wide. How deep is the water in the pool?

A) 25 inches

B) 1 ft. 2.5 inches

C) 1 ft. 3 inches

D) 1 ft. 4 inches

E) 2 ft. 5 inches


total water filled in 60 mins = 60*3 = 180 cubic feet
volume of the swimming pool = x*x*h
180 = 12*12 * h
h = 180/144 = 1.25 feet = 1 ft and 3 inches

Hence option C is correct
Hit Kudos if you liked it 8-)
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An empty swimming pool is being filled by a hose that runs at 3 cubic  [#permalink]

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New post 10 Mar 2017, 23:57
1
HKD1710 wrote:
An empty swimming pool is being filled by a hose that runs at 3 cubic feet per minute for 60 minutes. The square swimming pool is 12 feet wide. How deep is the water in the pool?

A) 25 inches

B) 1 ft. 2.5 inches

C) 1 ft. 3 inches

D) 1 ft. 4 inches

E) 2 ft. 5 inches


In 60 Minutes the total water filled in pool is 180 cubic feet.
Now the pool is square pool with 12 ft width, so the find the depth of water we need to divide the total water volume by area of base of pool (ps vol of cubic figure l*b*h) here l and b= 12
so h = 180(12*12) = 1 ft and 3 inches ( ps 12 inches =1 ft)

Kudos if you like :-)
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Re: An empty swimming pool is being filled by a hose that runs at 3 cubic  [#permalink]

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New post 11 Mar 2017, 22:25
Ok I think I got lucky on this question- can someone give me some feedback because even though I got the right answer there was a serious lack of deliberation with my method, and it took a while- not to mention it may be flawed. So I knew, given the stimulus, that 3 by 60 is the volume of the pool. I then divided 180 by 12 and got fifteen- for some reason my intuition said that means 15 inches and 1 foot is 12 inches with a remainder of 3 inches; therefore, 1 foot 3 inches. I don't understand how to divide 180 by 144 quickly in my head.
Re: An empty swimming pool is being filled by a hose that runs at 3 cubic &nbs [#permalink] 11 Mar 2017, 22:25
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