SOLUTION: A swimming pool holds 54 cubic meters of water. It can be drained at a rate of one cubic meter minute faster than it can be filled. If it takes 9 minutes longer to fill it than to

Question 1081540: A swimming pool holds 54 cubic meters of water. It can be drained at a rate of one cubic meter minute faster than it can be filled. If it takes 9 minutes longer to fill it than to drain it, find the drainage rate.
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.
The drainage rate is 3 m^3 per minute.

I solved it mentally.

But if you want to see the equations, here they are.

Let d = the drainage rate, in m^3/minute.
    f = the filing rate.


Then 

d - f = 1,

 -  = 9.


From the first equation, express f = d-1 and substitute it into the second equation. You will get

 -  = 9.


Solve it for d.

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