SOLUTION: A hot water faucet fills a sink in 5 minutes, while a cold water faucet fills it in 4 minutes, and a drain empties it in 2 minutes, Ifthe sink is full, and both faucets and the dra

Question 1061193: A hot water faucet fills a sink in 5 minutes, while a cold water faucet fills it in 4 minutes, and a drain empties it in 2 minutes, Ifthe sink is full, and both faucets and the drain are open, how long does it take to empty the sink?
Answer by ikleyn(52866) (Show Source): You can put this solution on YOUR website!
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A hot water faucet fills a sink in 5 minutes, while a cold water faucet fills it in 4 minutes, and a drain empties it in 2 minutes,
If the sink is full, and both faucets and the drain are open, how long does it take to empty the sink?
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I think that the faucets fill a , as well as the drain empties a the (and not a sink).

At given conditions, 5-minute faucet fills  of the tank volume per minute,
while a 4-minute faucet fills  of the tank volume per minute.
A drain empties  of the tank volume per minute.

So, the tank loss  =  =  of the volume per minute.

Hence, it will take 20 minutes to empty the tank.

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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