# SOLUTION: A lake is being emptied at a rate that will leave it empty after 16 weeks, while being filled by a river that will fill it in 25 weeks. How long will it take to empty the lake?

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 622108: A lake is being emptied at a rate that will leave it empty after 16 weeks, while being filled by a river that will fill it in 25 weeks. How long will it take to empty the lake?Answer by Alan3354(30983)   (Show Source): You can put this solution on YOUR website!A lake is being emptied at a rate that will leave it empty after 16 weeks, while being filled by a river that will fill it in 25 weeks. How long will it take to empty the lake? ------------ Assuming it starts at full: It loses 1/16 of its volume per week It gains 1/25 per week -------- 1/25 - 1/16 = -9/400 of its volume change per week --> 400/9 weeks