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?
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