SOLUTION: A faucet can fill the sink in 3 minutes. A 2nd faucet can fill the same sink in 6 minutes. The drain leaks so that it empties the sink in 4 minutes. If the drain is closed and the

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A faucet can fill the sink in 3 minutes. A 2nd faucet can fill the same sink in 6 minutes. The drain leaks so that it empties the sink in 4 minutes. If the drain is closed and the       Log On


   



Question 377340: A faucet can fill the sink in 3 minutes. A 2nd faucet can fill the same sink in 6 minutes. The drain leaks so that it empties the sink in 4 minutes. If the drain is closed and the 2 faucets are open how long will it take to fill the sink?
Found 2 solutions by robertb, richwmiller:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x%281%2F3+%2B+1%2F6%29+=+1,
x = 2 hours.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Since the drain leaks even when closed we have
1/3+1/6-1/4=1/x
4/12+2/12-3/12=1/x
3/12=1/x
1/4=1/x
x=4 minutes