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How much water did the swimming pool have, if there was left 400 m3

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sherxon
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How much water did the swimming pool have, if there was left 400 m3 [#permalink] New post   Updated on: 23 Jun 2021, 22:36
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How much water did the swimming pool have initially, if 400 cubic meters of water was left after the emptying pipe had been open for an hour?

1) 250 cubic meters of water was left in the swimming pool after the emptying pipe had been open for four hours
2) 50 cubic meters of water per hour can flow through the emptying pipe
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D

Originally posted by sherxon on 23 Jun 2021, 21:22.
Last edited by chetan2u on 23 Jun 2021, 22:36, edited 2 times in total.
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chetan2u
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Re: How much water did the swimming pool have, if there was left 400 m3 [#permalink] New post   23 Jun 2021, 21:43
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sherxon wrote:
How much water did the swimming pool have initially, if there was left 400 cubic meters of water after the emptying pipe has been open for an hour?

1) There were 250 cubic meters of water after the emptying pipe has been open for four hours
2) 50 cubic meters of water per hour can flow through the emptying pipe




We are basically looking for the speed of the pipe.

1) There were 250 cubic meters of water after the emptying pipe has been open for four hours
So 400-250 or 150 has been emptied in 4-1 or 3 hours, making the speed of the pipe 50 cum per hour.
Answer- 400+50 or 250+4*50 or 450 cum.

2) 50 cubic meters of water per hour can flow through the emptying pipe
Here the speed is 50 cum per hour, so the answer is 400+50=450 cum as 50 cum was taken out in one hour.

D
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IanStewart
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Re: How much water did the swimming pool have, if there was left 400 m3 [#permalink] New post   24 Jun 2021, 04:55
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sherxon wrote:
How much water did the swimming pool have initially, if 400 cubic meters of water was left after the emptying pipe had been open for an hour?

1) 250 cubic meters of water was left in the swimming pool after the emptying pipe had been open for four hours
2) 50 cubic meters of water per hour can flow through the emptying pipe


If we assume the 'emptying pipe' empties the pool continuously, at a constant rate, then the answer is D; Statement 1 tells us the water dropped by 150 cubic meters in 3 hours, or 50 cubic meters each hour, so the pool contained 450 cubic meters an hour ago, and Statement 2 tells us the same thing. So under that assumption, the answer is D.

But the question doesn't tell us the pipe empties the pool at a constant rate, and if you don't know that, you can't do anything here. I'd bet the source says the "OA" is D here, but the answer is E (either way it's not a fair question, because it's not clear what you're meant to assume). Where is the question from?
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Re: How much water did the swimming pool have, if there was left 400 m3 [#permalink] New post   17 Jun 2023, 17:26
chetan2u wrote:
sherxon wrote:
How much water did the swimming pool have initially, if there was left 400 cubic meters of water after the emptying pipe has been open for an hour?

1) There were 250 cubic meters of water after the emptying pipe has been open for four hours
2) 50 cubic meters of water per hour can flow through the emptying pipe




We are basically looking for the speed of the pipe.

1) There were 250 cubic meters of water after the emptying pipe has been open for four hours
So 400-250 or 150 has been emptied in 4-1 or 3 hours, making the speed of the pipe 50 cum per hour.
Answer- 400+50 or 250+4*50 or 450 cum.

2) 50 cubic meters of water per hour can flow through the emptying pipe
Here the speed is 50 cum per hour, so the answer is 400+50=450 cum as 50 cum was taken out in one hour.

D


All these works if it is given that the pool was in its full capacity. How do we know whether the pool was initially fully filled?
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Re: How much water did the swimming pool have, if there was left 400 m3 [#permalink]
17 Jun 2023, 17:26
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