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?
* 9000 cubic meters
* 10500 cubic meters
* 11750 cubic meters
* 12000 cubic meters
* 12500 cubic meters
Figure out the time Valve 2 took to fill the pool by itself
1/Valve1 + 1/Valve2 = 1/48
1/120 mins (or 2 hours) + 1/Valve2 = 1/48 mins
Valve2 = 80 mins
ie 120X = 80(x + 50) ==> x = 100.
We get x = 100.
Now substitute value of x in any of the 3 eq and you should get the total volume.
12000
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