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# Tank A and Tank B are hollow rectangular solids. Tank A is empty and T

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Tank A and Tank B are hollow rectangular solids. Tank A is empty and T  [#permalink]

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14 Mar 2018, 02:24
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Difficulty:

75% (hard)

Question Stats:

56% (02:22) correct 44% (02:24) wrong based on 49 sessions

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Tank A and Tank B are hollow rectangular solids. Tank A is empty and Tank B is filled with water to a depth of x feet. If water is transferred from Tank B to Tank A until either Tank A is completely filled or Tank B is completely empty, will there be any water left in Tank B?

(1) The area of the base of Tank A is 8 square feet
(2) The volume of water in Tank B is 64 cubic feet

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2018-03-14_1316.png [ 16.71 KiB | Viewed 747 times ]

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Re: Tank A and Tank B are hollow rectangular solids. Tank A is empty and T  [#permalink]

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14 Mar 2018, 02:25
Bunuel wrote:

Tank A and Tank B are hollow rectangular solids. Tank A is empty and Tank B is filled with water to a depth of x feet. If water is transferred from Tank B to Tank A until either Tank A is completely filled or Tank B is completely empty, will there be any water left in Tank B?

(1) The area of the base of Tank A is 8 square feet
(2) The volume of water in Tank B is 64 cubic feet

Attachment:
2018-03-14_1316.png

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Re: Tank A and Tank B are hollow rectangular solids. Tank A is empty and T  [#permalink]

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14 Mar 2018, 13:25
1

1) The area of the base of Tank A is 8 square feet
Here, wl = 8. We have no information about the height of Tank A
Also, we have no information about the volume of Tank B. (Insufficient)

(2) The volume of water in Tank B is 64 cubic feet
Here, 2l*2w*2h = 64 -> lwh = 8
But l = 4,w = 2, and h=1 or l = 2,w = 2,h = 2
Also, we don't know the value of x, it could be 0.5 or 1 or 2 (Insufficient)

Combining the information from both the statements, without
knowing the value of x, we can't say anything for sure

Since lwh = 8 and wl = 8 -> h=1,w=2,l=4

Case 1: If x = 0.5, tank B will have 8*4*0.5 = 16 cubic feet of water.
All the water cannot be transferred to Tank A(which has a volume of 8 cubic feet)
In this case, 8 cubic feet of water will remain in Tank B.

Case 2: If x = 0.25, tank B will contain 8*4*0.25 = 8 cubic feet of water.
In this case, the entire 8 cubic feet of water can be transferred and no water
remains in the Tank B (Insufficient - Option E)
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Re: Tank A and Tank B are hollow rectangular solids. Tank A is empty and T   [#permalink] 14 Mar 2018, 13:25
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