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

Question

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

lacktutor · Answer

3(cubic feet)* 60 = 180 cubic feet
--> 180= 12*12*h
 h= \frac{180}{144}= \frac{15}{12} = \frac{5}{4}  (feet)
1 foot= 12 inches -->  (\frac{5}{4})*12= 15  inches

The answer is C . (1 ft. 3 inches)

GMATWhizTeam · Answer

Solution 
• The volume of the water filled by hose  = 3* 60 = 180  cubic feet …………..Eq.(1)
• Since the base of swimming pool is square in shape and 12 feet wide, So
 o Area of the base of the swimming pool  = 12*12 sq. feet   
• Let the depth of water in the pool be h.
 o Then volume of the water  = (12*12*h) cubic feet …………………. Eq.(2)  
• On equating, Eq. (1) and Eq. (2) we get:
 o  12*12*h = 180  
o  h = \frac{180}{12*12} = \frac{5}{4 }feet = 1.25 feet.  
• Since,  1 feet = 12 inch 
 o  0.25 feet = 12 *0.25 = 3 inch . 
Hence, h = 1 feet and 3 inches
Thus, the correct answer is   Option C  .

fauji · Answer

Approach:

- Sides of square pool: 12 ft each
- Hose that runs at 3 cubic feet per minute for 60 minutes, Total volume filled: 3*60 = 180 cubic ft

- To find depth of filled water in pool, length and breadth remains same and height(say x) would be different:

- So, 12*12*x = 180 => x =  1.25 of a feet  OR  1 ft 3 inch

Option C

ScottTargetTestPrep · Answer

Since the swimming pool is filled at a rate of 3 cubic feet per minute for 60 minutes, the volume of the water in the swimming pool is 3 x 60 = 180 cubic feet. Since the base area of the swimming pool is 12 x 12 = 144 square feet. The height (or depth) of the water in the pool is 180/144 = 1.25 ft, or 1 foot and 3 inches.

Answer: C

Nums99 · Answer

hi  ScottTargetTestPrep  How are we assuming that this is a cuboid it says that the swimming pool is a square pool . My main point of confusion is that they mention that this is a "square pool" so shouldn't we assume it to be a cube and not a cuboid

ScottTargetTestPrep · Answer

Reply:
 
We use common sense to conclude that the swimming pool is square with a height that is not necessarily equal to 12 feet (i.e. not necessarily a cube). It’s enough to consider what we would have thought if someone told us that the shape of a certain swimming pool was a “square.” We wouldn’t assume the depth of the pool was also equal to the length and width of the pool; we would only understand that the length and width of the pool had equal measurements. If the question wanted us to make the calculations based on a swimming pool that is actually a cube, then either the question would have told us that the swimming pool was a cube, or we would be told that the shape of the swimming pool was a square with a depth which is equal to the length and width of the pool.

Fdambro294 · Answer

we know that 3 cubic feet per minute * 60 minutes = 180 cubic feet is filled into the pool

Furthermore, since we are told it is a Square Pool, the Length and Width = 12 feet.

Given a Height of 1, the amount of water that would fill the Pool Up would be: 12 * 12 * 1 = 144 cubic feet

or, if we just say that the Pool has an Unknown Height, we can conclude that the Pool will be 1 foot deep (i.e., the Height of the Water Level = 1 foot) when the water reaches the dimensions of: 12 * 12 * 1 = 144 cubic feet

144 cubic feet -------- corresponds to a depth of 1 foot

180 cubic feet ------- corresponds to how much Depth? Call it X and Set up the Proportion.

144/1 = 180/X

X = 180 /144 = 5/4 = 1 Foot and 3 inches

-C-

bumpbot · Answer

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

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