Answer:
Explanation:
Let V be the volume of water in the lake and w be the number of weeks to empty the lake
Since it takes 14 weeks to empty the lake by water release, the empty rate = V/14
But at the same time the river is replenishing the lake at a rate of V/25 since it will take 25 weeks to fill the empty lake
- Net empty rate = Empty rate - replenishment rate =
- Divide the equation by V to eliminate V giving
- Multiply by 350 (14 x 25) to eliminate the denominators
==>
- Multiply both sides by w to cancel the denominator w
11w = 350
- Divide both sides by 11 to get
w =
weeks