SOLUTION: Hi I am needing some help on this word problem please. A sink can be filled by the cold water facuet in 3 mins. The drain can empty a full sink in 4 mins. If the sink is empty

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi I am needing some help on this word problem please. A sink can be filled by the cold water facuet in 3 mins. The drain can empty a full sink in 4 mins. If the sink is empty       Log On

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Question 404877: Hi I am needing some help on this word problem please.
A sink can be filled by the cold water facuet in 3 mins. The drain can empty a full sink in 4 mins. If the sink is empty and both the cold water facuet and the drain are open, how long will it take the sink to overflow.
Thank you so much

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
This is a rate problem.
Add the rates to get the resulting rate.
Filling the sink in a (+) rate
Emptying the sink is a (-) rate
The best way to understand it is
to express solution in words.
(1 sink filled)/(minutes to fill sink) - (1 sink drained)/(minutes to drain sink) = (1 sink filled)/(minutes to fill sink w/drain and faucet open)
1%2F3+-+1%2F4+=+1%2Fx
Multiply both sides by 12x
4x+-+3x+=+12
x+=+12
It takes 12 min for the sink to overflow with faucet
and drain open