SOLUTION: It takes 2 minutes longer to drain a bathtub than it does it fill it. Suppose you forgot to close the drain and the bathtub fills in 15 minutes. How long will it take to fill the t

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes 2 minutes longer to drain a bathtub than it does it fill it. Suppose you forgot to close the drain and the bathtub fills in 15 minutes. How long will it take to fill the t      Log On


   



Question 1029451: It takes 2 minutes longer to drain a bathtub than it does it fill it. Suppose you forgot to close the drain and the bathtub fills in 15 minutes. How long will it take to fill the tub with the drain closed?
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let R=rate at which the bathtub fills;
The bathtub drains at R+2:
1/r-1/r+2=1/15
15(r+2)-15r=r^2+2r
15r+30-15r=r^2+2r
r^2+2r-30=0
Using our quadratic formula, r=sqrt(31)-1
r+2=sqrt(31)+1!!!!!!!!