SOLUTION: A bath tub can be filled in 8 minutes but it takes the tub 12 minutes to drain. If the tub has the faucet on and the drain open, how long will it take to fill?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A bath tub can be filled in 8 minutes but it takes the tub 12 minutes to drain. If the tub has the faucet on and the drain open, how long will it take to fill?      Log On


   



Question 841848: A bath tub can be filled in 8 minutes but it takes the tub 12 minutes to drain. If the tub has the faucet on and the drain open, how long will it take to fill?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
A bath tub can be filled in 8 minutes but it takes the tub 12 minutes to drain.
If the tub has the faucet on and the drain open, how long highlight_green%28x%29 will it take to fill?
1/8 - 1/12 = 1/x |Multiplying thru by 48x so as all denominators = 1
6x - 4x = 48
2x = 48
x = 24min