SOLUTION: a water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. if the sing is full, how long will it take to empty if both the faucet and the drain are o

Question 119321: a water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. if the sing is full, how long will it take to empty if both the faucet and the drain are open?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. if the sing is full, how long will it take to empty if both the faucet and the drain are open?
:
Let t = time for this to occur
Let the empty sink = 1
:
- = 1
:
Get rid of the denominators, multiply equation by 12
12* - 12* = 12(1)
:
Cancel out the denominators and you have:
3t - 2t = 12
:
t = 12 min
:
:
Check in original equaiton:
- =
3 - 2 = 1; confirms our solution of t = 12
:
:
That was pretty easy, right?
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