SOLUTION: officials begin to release water from a full man made lake at a rate that would empty the lake in 14 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake
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Question 941678: officials begin to release water from a full man made lake at a rate that would empty the lake in 14 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time. how long does 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 release water from a full man made lake at a rate that would empty the lake in 14 weeks,
but a river that can fill the lake in 25 weeks is replenishing the lake at the same time.
how long does it take to empty the lake?
:
let w = no. of weeks required to empty the lake
let the completed job = 1 (an empty lake)
:
- = 1
multiply by 350 to cancel the denominators, results:
25w - 14w = 350
11w = 350
w = 350/11
w = 31.2 weeks to empty the lake
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