SOLUTION: A bathtub can be filled in 8 min. It takes 12 minutes for the bathtub to drain.if the faucet is turned on but the drain is also open, how long will it take to fill the tub?

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Question 1044359: A bathtub can be filled in 8 min. It takes 12 minutes for the bathtub to drain.if the faucet is turned on but the drain is also open, how long will it take to fill the tub?

Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A bathtub can be filled in 8 min.
It takes 12 minutes for the bathtub to drain.if the faucet is turned on but the drain is also open, how long will it take to fill the tub?
:
let t = time in min for this to happen
let a full tub = 1
fill is +; drain is -
t%2F8 - t%2F12 = 1
multiply eq by least common multiple of 8 & 12. That's 24.
Cancel the denominators and you have
3t - 2t = 24
t = 24 min to fill the tub in these conditions

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
For similar problems see the lesson
    - Using Fractions to solve word problems on joint work,
in this site.