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With both valves open, the pool will be filled with water in

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CEO
CEO
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Joined: 21 Jan 2007
Posts: 2770
Location: New York City
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With both valves open, the pool will be filled with water in [#permalink] New post 21 Nov 2007, 05:09
With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. What is the capacity of the pool if every minute the second valve admits 50 cubic meters of water more than the first valve?

9000
10500
11750
12000
12500

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Manager
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Joined: 08 Nov 2007
Posts: 100
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Kudos [?]: 1 [0], given: 0

Re: RT=D valve rates [#permalink] New post 21 Nov 2007, 06:17
bmwhype2 wrote:
With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. What is the capacity of the pool if every minute the second valve admits 50 cubic meters of water more than the first valve?

9000
10500
11750
12000
12500

Is there a shortcut to this question?


Dont know about a shortcut - but I get 12,000.

48x + 48 y = Volume (V)
120x = V

Thus 48x + 48y = 120x
Thus 48y = 72x
Thus 2/3y = x
Thus 1/3y = 50m^3 / min
Thus y = 150
Thus x = 100

Thus 100m^3 per min x 120 mins = 12,000m^3
Re: RT=D valve rates   [#permalink] 21 Nov 2007, 06:17
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With both valves open, the pool will be filled with water in

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