SOLUTION: A faucet can fill a sink in 5 minutes. It takes twice that long for the drain to empty the sink. How long will it take to fill the sink if the drain is open and the faucet is on?

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Question 277022: A faucet can fill a sink in 5 minutes. It takes twice that long for the drain to empty the sink. How long will it take to fill the sink if the drain is open and the faucet is on?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
A faucet can fill a sink in 5 minutes. It takes twice that long for the drain to empty the sink. How long will it take to fill the sink if the drain is open and the faucet is on?
faucet can fill in 5 minutes
1/5th of sink fills in 1 minute
sink drains in 10 minutes
1/10th sink will drain in 1 minute
effective filling will be 1/5 -1/10 = 1/10 per minute
So the sink will fill in 10 minutes.