SOLUTION: officials begin to release water from a full man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 25 weeks in replenishing the lake
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Question 1174937: officials begin to release water from a full man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 25 weeks in replenishing the lake at the same time. How many weeks does it take to empty the lake Answer by ikleyn(52798) (Show Source):
Officials drain the lake at the rate of of its volume per week.
The river fills the lake at the rate of of its volume per week.
The net draining rate is = = of the volume per week.
Hence, it will take = 44.44... weeks to empty the lake. ANSWER