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What is the rate, in cubic feet per minute, at which water

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Director
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What is the rate, in cubic feet per minute, at which water [#permalink] New post 15 Dec 2005, 01:40
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What is the rate, in cubic feet per minute, at which water is flowing into a certain rectangular tank?
(1) The height of the water in the tank is increasing at the rate of 2 feet per minute.
(2) The capacity of the tank is 216 cubic feet.
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Re: DS - rate of flow [#permalink] New post 15 Dec 2005, 02:00
shahnandan wrote:
What is the rate, in cubic feet per minute, at which water is flowing into a certain rectangular tank?
(1) The height of the water in the tank is increasing at the rate of 2 feet per minute.
(2) The capacity of the tank is 216 cubic feet.


1) and 2) alone are insuff.

1) and 2) together are insuff b/c we don't know the dimensions.

Answer: E
Director
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 [#permalink] New post 15 Dec 2005, 02:05
thanks for the response but can someone help with a more detailed expln.
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 [#permalink] New post 15 Dec 2005, 02:17
shahnandan wrote:
thanks for the response but can someone help with a more detailed expln.

1 insuff because we can't figure out the volume.Hence we can't find out the rate.
2 althought we know the capacity the tank can be
1 ________1
1_________1
and

1 ____1
1 ____1
1 ____1
1_____1
my pictures a re schematic and not drawn to scale))sorry
suppose that this figures above are of the same capacity!but the rate we'll be different!
1&2 same insuff so the answer is E
Hope it ll be somehow useful
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 [#permalink] New post 15 Dec 2005, 02:23
shahnandan wrote:
thanks for the response but can someone help with a more detailed expln.


its E) b/c u dont know the height of the tank. u know the volume, which is 216. its primes are 3^3*2^3. the height can be 3,2,8, etc..u need the height to determine the rate at which water is flowing in. when the height is 2 the water flows in very fast, whereas when the height is 8 the water flows in slower.
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  [#permalink] 15 Dec 2005, 02:23
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