SOLUTION: I can't figure this one out. A bathtub faucet will fill a tub in 4 minutes. The drain can drain the tub in 6 minutes. If the drain is left open and the faucet turned on, how lon

Algebra ->  Rate-of-work-word-problems -> SOLUTION: I can't figure this one out. A bathtub faucet will fill a tub in 4 minutes. The drain can drain the tub in 6 minutes. If the drain is left open and the faucet turned on, how lon      Log On


   

Question 42651This question is from textbook
: I can't figure this one out.
A bathtub faucet will fill a tub in 4 minutes. The drain can drain the tub in 6 minutes. If the drain is left open and the faucet turned on, how long will it be before the tub overflows?
I tried, X/4 + x/6= 1, 6x/24 + 4/24 =1 Devided by 24. 24x/24x =1 x=1
one hour? does this sound right? I appreciate anyone's help, thank you in advance. Best Regards, Heidi
 This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Faucet's rate: 4 minutes = 1/4
Drains's rate: -1/6
Rate * Time(t) = Work
%28t%2F4%29+-+%28t%2F6%29+=+1
12%28t%2F4%29+-+12%28t%2F6%29+=+12
3t+-+2t+=+12
t+=+12
12 minutes time