SOLUTION: A water faucet can fill a sink in 15 minutes, whereas the drain can empty it in 6 minutes. If the sink is full, how long will it take to empty if both the faucet and the drain ar

Question 1055872: A water faucet can fill a sink in 15 minutes, whereas the drain can empty it in 6 minutes.
If the sink is full, how long will it take to empty if both the faucet and the drain are open?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Another constant rates situation much as if doing a job, doing a quantity of work.

RT=V, here, volume unit is just for 1 SINK.

The negative 1 for the amount of volume is because I have taken FILLING to be POSITIVE, and EMPTYING to be NEGATIVE.
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
A water faucet can fill a sink in 15 minutes, whereas the drain can empty it in 6 minutes. If the sink is full, how long will it take to empty if both the faucet and the drain are open?
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= = = of the tank volume goes out every minute. Answer. The tank will be emptied in 10 minutes.

Solved.

For a wide variety of similar solved joint-work problems with detailed explanations see the lessons
    - Using Fractions to solve word problems on joint work,
    - Solving more complicated word problems on joint work,
    - Selected joint-work word problems from the archive
in this site.

Read them and get be trained in solving joint-work problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Rate of work and joint work problems" of the section "Word problems".

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