SOLUTION: officils begin to empty a man made lake at a rate that wouldempty the lake in 18 weeks but a river that can fill the lake in 30 weeks is replenishing the lake at the same time, how

Question 945758: officils begin to empty a man made lake at a rate that wouldempty the lake in 18 weeks but a river that can fill the lake in 30 weeks is replenishing the lake at the same time, how long would it take to empty the lake
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
officials begin to empty a man made lake at a rate that would empty the lake in 18 weeks
but a river that can fill the lake in 30 weeks is replenishing the lake at the same time,
how long would it take to empty the lake
:
let t = time to empty the lake in this scenario
let the completed job = 1 (an empty lake)
:
- = 1
Multiply equation by 90
90* - 90* = 1(90)
Cancel the denominators
5t - 3t = 90
2t = 90
t = 45 weeks to empty the lake
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