SOLUTION: A drain can empty 3/4 of a sink in 1 minute and the faucet can fill 5/6 of the sink in 1 minute. If the faucet is on and the drain is open, how long will it be before the sink ove

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A drain can empty 3/4 of a sink in 1 minute and the faucet can fill 5/6 of the sink in 1 minute. If the faucet is on and the drain is open, how long will it be before the sink ove      Log On


   



Question 592336: A drain can empty 3/4 of a sink in 1 minute and the faucet can fill 5/6 of the sink in 1 minute. If the faucet is on and the drain is open, how long will it be before the sink overflows?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A drain can empty 3/4 of a sink in 1 minute and the faucet can fill 5/6 of the sink in 1 minute. If the faucet is on and the drain is open, how long will it be before the sink overflows?
**
let x=minutes sink overflows
5x/6-3x/4=1
LCD:12
10x-9x=12
x=12
ans:
The sink will overflow in 12 minutes