<PRE><B>Question 814638</B>
set c = sinks/minute from cold faucet
set h = sinks/minute from hot faucet
set t = time

t* ( c + h ) = 1   is the formula for filling 1 sink

Since it takes 2.2 minutes, this becomes
2.2 * ( c + h ) = 1

Since the cold faucet by it self fills in 3.3 minutes,
 3 * ( c ) = 1
and c = 1/3

Substituting in 2.2 * ( c + h ) =1
                2.2 * ( 1/3 + h ) = 1
divide each side by 2.2
                 1/3 + h = 1/2.2
subtract 1/3 from each side
                 h = 1/2.2 - 1/3
                 h = 0.121212
Now we have the hot rate.
So t * h = 1
   t * 0.121212 = 1
   t = 1/0.121212
   t = 8.25
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