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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   



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) About Me  (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
:
t%2F4 - t%2F6 = 1
:
Get rid of the denominators, multiply equation by 12
12*t%2F4 - 12*t%2F6 = 12(1)
:
Cancel out the denominators and you have:
3t - 2t = 12
:
t = 12 min
:
:
Check in original equaiton:
12%2F4 - 12%2F6 =
3 - 2 = 1; confirms our solution of t = 12
:
:
That was pretty easy, right?