SOLUTION: the faucet of a sink can fill the sink with water in 2 minutes. the drain can empty the sink in 3 minutes. If the faucet is turned on and the drain is left opened, does the sink e

Question 259508: the faucet of a sink can fill the sink with water in 2 minutes. the drain can empty the sink in 3 minutes. If the faucet is turned on and the drain is left opened, does the sink ever fill up with water?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let s=a sink full of water.
The faucet does 1/2 the job in 1 minute
the drain does does 1/3 of its job in 1 minute.
1/2-1/3=3/6 - 2/6 = 1/3
Since the answer is positive yes, the sink will fill.
.
Ed
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