Problema Solution
Officials begin to release water from a full man-made lake at a rate that would empty the lake in 10 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 provided by our tutors
the rate of the release is 1/10 lakes per week
the rate of the river is 1/25 lakes per week
let x be the number of weeks after which the lake will be empty
1 - x/10 + x/25 = 0
by solving we find
x = 50/3
x = 16 weeks 2*7/3 days
x = 16 weeks 4 days 2*24/3 hours
x = 16 weeks 4 days 16 hours
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it takes 16 weeks 4 days 16 hours for the lake to empty.